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67  <div class="navpath"><b>itpp</b>::<a class="el" href="classitpp_1_1ND__UQAM.html">ND_UQAM</a>
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71<h1>itpp::ND_UQAM Class Reference<br>
72<small>
73[<a class="el" href="group__modulators.html">Digital Modulation</a>]</small>
74</h1><!-- doxytag: class="itpp::ND_UQAM" --><!-- doxytag: inherits="itpp::Modulator_NCD" -->Complex MIMO channel with uniform <a class="el" href="classitpp_1_1QAM.html" title="M-ary QAM modulator with square lattice.">QAM</a> per dimension. 
75<a href="#_details">More...</a>
76<p>
77<code>#include &lt;<a class="el" href="modulator__nd_8h-source.html">modulator_nd.h</a>&gt;</code>
78<p>
79
80<p>
81<a href="classitpp_1_1ND__UQAM-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
82<tr><td></td></tr>
83<tr><td colspan="2"><br><h2>Public Types</h2></td></tr>
84<tr><td class="memItemLeft" nowrap align="right" valign="top">enum &nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#6e3b4c745f904cdb34301aeb4cc03035">Soft_Demod_Method</a> { <a class="el" href="classitpp_1_1Modulator__ND.html#6e3b4c745f904cdb34301aeb4cc03035c743f79c2dbf90c34fd03075b7648058">FULL_ENUM_LOGMAP</a>,
85<a class="el" href="classitpp_1_1Modulator__ND.html#6e3b4c745f904cdb34301aeb4cc03035d5798fd18f93f399475392b8aee09cba">ZF_LOGMAP</a>
86 }</td></tr>
87
88<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Soft demodulation method.  <a href="classitpp_1_1Modulator__ND.html#6e3b4c745f904cdb34301aeb4cc03035">More...</a><br></td></tr>
89<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
90<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="44b3a101a493535b4f880aae1c70088c"></a><!-- doxytag: member="itpp::ND_UQAM::ND_UQAM" ref="44b3a101a493535b4f880aae1c70088c" args="(int nt=1, int Mary=4)" -->
91&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1ND__UQAM.html#44b3a101a493535b4f880aae1c70088c">ND_UQAM</a> (int <a class="el" href="classitpp_1_1Modulator__ND.html#18f0f81646514aa7210415f83fc62c1b">nt</a>=1, int Mary=4)</td></tr>
92
93<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructor. <br></td></tr>
94<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5a7f76f5a99d363b2865e406be2877ae"></a><!-- doxytag: member="itpp::ND_UQAM::~ND_UQAM" ref="5a7f76f5a99d363b2865e406be2877ae" args="()" -->
95&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1ND__UQAM.html#5a7f76f5a99d363b2865e406be2877ae">~ND_UQAM</a> ()</td></tr>
96
97<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Destructor. <br></td></tr>
98<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e52a188982cb681b069e7d6e985a7d06"></a><!-- doxytag: member="itpp::ND_UQAM::set_M" ref="e52a188982cb681b069e7d6e985a7d06" args="(int nt=1, int Mary=4)" -->
99void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1ND__UQAM.html#e52a188982cb681b069e7d6e985a7d06">set_M</a> (int <a class="el" href="classitpp_1_1Modulator__ND.html#18f0f81646514aa7210415f83fc62c1b">nt</a>=1, int Mary=4)</td></tr>
100
101<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Set component modulators to M-QAM with Gray mapping. <br></td></tr>
102<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ecfee75e187bcdaf37a5fe16aa56554a"></a><!-- doxytag: member="itpp::ND_UQAM::set_M" ref="ecfee75e187bcdaf37a5fe16aa56554a" args="(int nt=1, ivec Mary=&quot;4&quot;)" -->
103void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1ND__UQAM.html#ecfee75e187bcdaf37a5fe16aa56554a">set_M</a> (int <a class="el" href="classitpp_1_1Modulator__ND.html#18f0f81646514aa7210415f83fc62c1b">nt</a>=1, ivec Mary=&quot;4&quot;)</td></tr>
104
105<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Set component modulators to M-QAM with Gray mapping, different M per component. <br></td></tr>
106<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="41b6b6b9a21039a88a1ba07f358cd43a"></a><!-- doxytag: member="itpp::ND_UQAM::get_symbols" ref="41b6b6b9a21039a88a1ba07f358cd43a" args="() const " -->
107<a class="el" href="classitpp_1_1Array.html">Array</a>&lt; cvec &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__NCD.html#41b6b6b9a21039a88a1ba07f358cd43a">get_symbols</a> () const </td></tr>
108
109<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Get modulation symbols per dimension. <br></td></tr>
110<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="6e0475c4f4dc96d08f5f4707a9dfaf17"></a><!-- doxytag: member="itpp::ND_UQAM::modulate_bits" ref="6e0475c4f4dc96d08f5f4707a9dfaf17" args="(const bvec &amp;bits, cvec &amp;symbols) const " -->
111void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__NCD.html#6e0475c4f4dc96d08f5f4707a9dfaf17">modulate_bits</a> (const bvec &amp;bits, cvec &amp;<a class="el" href="classitpp_1_1Modulator__NCD.html#e6948b64b0a10e47fd0a864ead0516b7">symbols</a>) const </td></tr>
112
113<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Modulate <code>bits</code> into <code>symbols</code>. <br></td></tr>
114<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1bee64f0ca29bf8ef1dea72a083ff4ad"></a><!-- doxytag: member="itpp::ND_UQAM::modulate_bits" ref="1bee64f0ca29bf8ef1dea72a083ff4ad" args="(const bvec &amp;bits) const " -->
115cvec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__NCD.html#1bee64f0ca29bf8ef1dea72a083ff4ad">modulate_bits</a> (const bvec &amp;bits) const </td></tr>
116
117<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Modulation of bits. <br></td></tr>
118<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__NCD.html#a25a04d3c20e24c033a1dd152e674f7c">demodulate_soft_bits</a> (const cvec &amp;y, const cmat &amp;H, double sigma2, const QLLRvec &amp;LLR_apriori, QLLRvec &amp;LLR_aposteriori, <a class="el" href="classitpp_1_1Modulator__ND.html#6e3b4c745f904cdb34301aeb4cc03035">Soft_Demod_Method</a> method)</td></tr>
119
120<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Soft demodulation wrapper function for various methods.  <a href="#a25a04d3c20e24c033a1dd152e674f7c"></a><br></td></tr>
121<tr><td class="memItemLeft" nowrap align="right" valign="top">QLLRvec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__NCD.html#a45b72fcdc70134a46710d7a5a381976">demodulate_soft_bits</a> (const cvec &amp;y, const cmat &amp;H, double sigma2, const QLLRvec &amp;LLR_apriori, <a class="el" href="classitpp_1_1Modulator__ND.html#6e3b4c745f904cdb34301aeb4cc03035">Soft_Demod_Method</a> method)</td></tr>
122
123<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Soft demodulation wrapper function for various methods.  <a href="#a45b72fcdc70134a46710d7a5a381976"></a><br></td></tr>
124<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__NCD.html#ca10f18dbcf7542db0c0d8078f7834ae">demodulate_soft_bits</a> (const cvec &amp;y, const cmat &amp;H, double sigma2, const QLLRvec &amp;LLR_apriori, QLLRvec &amp;LLR_aposteriori)</td></tr>
125
126<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Soft MAP demodulation for multidimensional channel, by "brute-force" enumeration of all constellation points.  <a href="#ca10f18dbcf7542db0c0d8078f7834ae"></a><br></td></tr>
127<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__NCD.html#544faf2c9477cf7b2fa2f69efc7b3abe">demodulate_soft_bits</a> (const cvec &amp;y, const cvec &amp;H, double sigma2, const QLLRvec &amp;LLR_apriori, QLLRvec &amp;LLR_aposteriori)</td></tr>
128
129<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Soft MAP demodulation for parallelchannels without crosstalk.  <a href="#544faf2c9477cf7b2fa2f69efc7b3abe"></a><br></td></tr>
130<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e5a2e50b1bf055d6db9f56bd4fe83105"></a><!-- doxytag: member="itpp::ND_UQAM::set_llrcalc" ref="e5a2e50b1bf055d6db9f56bd4fe83105" args="(LLR_calc_unit llrcalc_in)" -->
131void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#e5a2e50b1bf055d6db9f56bd4fe83105">set_llrcalc</a> (<a class="el" href="classitpp_1_1LLR__calc__unit.html">LLR_calc_unit</a> llrcalc_in)</td></tr>
132
133<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Set LLR calculation unit. <br></td></tr>
134<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="b68aa9155f305d9fb4e8d3cab45d5c9d"></a><!-- doxytag: member="itpp::ND_UQAM::get_llrcalc" ref="b68aa9155f305d9fb4e8d3cab45d5c9d" args="() const " -->
135<a class="el" href="classitpp_1_1LLR__calc__unit.html">LLR_calc_unit</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#b68aa9155f305d9fb4e8d3cab45d5c9d">get_llrcalc</a> () const </td></tr>
136
137<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Get LLR calculation unit. <br></td></tr>
138<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="64691da50e1a9f604c41bdda141d477a"></a><!-- doxytag: member="itpp::ND_UQAM::get_dim" ref="64691da50e1a9f604c41bdda141d477a" args="() const " -->
139int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#64691da50e1a9f604c41bdda141d477a">get_dim</a> () const </td></tr>
140
141<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Get number of dimensions. <br></td></tr>
142<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="aa89b07529c5c5bbe75d4c6b45f9264c"></a><!-- doxytag: member="itpp::ND_UQAM::get_k" ref="aa89b07529c5c5bbe75d4c6b45f9264c" args="() const " -->
143ivec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#aa89b07529c5c5bbe75d4c6b45f9264c">get_k</a> () const </td></tr>
144
145<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Get number of bits per modulation symbol per dimension. <br></td></tr>
146<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a9f88563e5de7dd446f0c61c86976c76"></a><!-- doxytag: member="itpp::ND_UQAM::get_M" ref="a9f88563e5de7dd446f0c61c86976c76" args="() const " -->
147ivec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#a9f88563e5de7dd446f0c61c86976c76">get_M</a> () const </td></tr>
148
149<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Get number of modulation symbols per dimension. <br></td></tr>
150<tr><td colspan="2"><br><h2>Protected Member Functions</h2></td></tr>
151<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__NCD.html#27e760213e8c30b93fc338b4a6e3a864">update_norm</a> (double &amp;norm, int <a class="el" href="classitpp_1_1Modulator__ND.html#5545e8651244ffca103252926fb18a1c">k</a>, int sold, int snew, const cvec &amp;ytH, const cmat &amp;HtH, const ivec &amp;s)</td></tr>
152
153<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Update residual norm (for internal use).  <a href="#27e760213e8c30b93fc338b4a6e3a864"></a><br></td></tr>
154<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a7eaacc702e0564b3388b9fb9413d301"></a><!-- doxytag: member="itpp::ND_UQAM::probabilities" ref="a7eaacc702e0564b3388b9fb9413d301" args="(QLLR l)" -->
155QLLRvec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#a7eaacc702e0564b3388b9fb9413d301">probabilities</a> (QLLR l)</td></tr>
156
157<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Convert LLR to log-probabilities. <br></td></tr>
158<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="6278bfead2080abfd50998067336eb12"></a><!-- doxytag: member="itpp::ND_UQAM::probabilities" ref="6278bfead2080abfd50998067336eb12" args="(const QLLRvec &amp;l)" -->
159<a class="el" href="classitpp_1_1Array.html">Array</a>&lt; QLLRvec &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#6278bfead2080abfd50998067336eb12">probabilities</a> (const QLLRvec &amp;l)</td></tr>
160
161<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Convert LLR to log-probabilities, vector version. <br></td></tr>
162<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#48975e0d26dac075e1f448bdca15ca87">update_LLR</a> (const <a class="el" href="classitpp_1_1Array.html">Array</a>&lt; QLLRvec &gt; &amp;logP_apriori, const ivec &amp;s, QLLR scaled_norm, QLLRvec &amp;num, QLLRvec &amp;denom)</td></tr>
163
164<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Update LLR (for internal use).  <a href="#48975e0d26dac075e1f448bdca15ca87"></a><br></td></tr>
165<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#6bb417318b8105a78db7ad2c618283ce">update_LLR</a> (const <a class="el" href="classitpp_1_1Array.html">Array</a>&lt; QLLRvec &gt; &amp;logP_apriori, int s, QLLR scaled_norm, int j, QLLRvec &amp;num, QLLRvec &amp;denom)</td></tr>
166
167<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Update LLR, for scalar channel (for internal use).  <a href="#6bb417318b8105a78db7ad2c618283ce"></a><br></td></tr>
168<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
169<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0964f260688bac5b09cd1a51b49155ff"></a><!-- doxytag: member="itpp::ND_UQAM::L" ref="0964f260688bac5b09cd1a51b49155ff" args="" -->
170ivec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1ND__UQAM.html#0964f260688bac5b09cd1a51b49155ff">L</a></td></tr>
171
172<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">the square root of M <br></td></tr>
173<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e6948b64b0a10e47fd0a864ead0516b7"></a><!-- doxytag: member="itpp::ND_UQAM::symbols" ref="e6948b64b0a10e47fd0a864ead0516b7" args="" -->
174<a class="el" href="classitpp_1_1Array.html">Array</a>&lt; cvec &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__NCD.html#e6948b64b0a10e47fd0a864ead0516b7">symbols</a></td></tr>
175
176<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Vectors of modulation symbols (along each dimension). <br></td></tr>
177<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="18f0f81646514aa7210415f83fc62c1b"></a><!-- doxytag: member="itpp::ND_UQAM::nt" ref="18f0f81646514aa7210415f83fc62c1b" args="" -->
178int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#18f0f81646514aa7210415f83fc62c1b">nt</a></td></tr>
179
180<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Number of dimensions. <br></td></tr>
181<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="8690246ff99fd198a5e7d179954ac5a9"></a><!-- doxytag: member="itpp::ND_UQAM::llrcalc" ref="8690246ff99fd198a5e7d179954ac5a9" args="" -->
182<a class="el" href="classitpp_1_1LLR__calc__unit.html">LLR_calc_unit</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#8690246ff99fd198a5e7d179954ac5a9">llrcalc</a></td></tr>
183
184<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">LLR calculation unit. <br></td></tr>
185<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5545e8651244ffca103252926fb18a1c"></a><!-- doxytag: member="itpp::ND_UQAM::k" ref="5545e8651244ffca103252926fb18a1c" args="" -->
186ivec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#5545e8651244ffca103252926fb18a1c">k</a></td></tr>
187
188<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Number of bits per modulation symbol. <br></td></tr>
189<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="45916df32ce60b4c286367501482b441"></a><!-- doxytag: member="itpp::ND_UQAM::M" ref="45916df32ce60b4c286367501482b441" args="" -->
190ivec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#45916df32ce60b4c286367501482b441">M</a></td></tr>
191
192<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Number of modulation symbols along each dimension. <br></td></tr>
193<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cf19a4c13454739dfa68d0b9f6a85211"></a><!-- doxytag: member="itpp::ND_UQAM::bitmap" ref="cf19a4c13454739dfa68d0b9f6a85211" args="" -->
194<a class="el" href="classitpp_1_1Array.html">Array</a>&lt; <a class="el" href="mat_8h.html#f90acd1af41bf2d1d8a4bb23662fff69">bmat</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#cf19a4c13454739dfa68d0b9f6a85211">bitmap</a></td></tr>
195
196<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Bit mapping table (one table per dimension). <br></td></tr>
197<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="123a047e221467e2f63b4e353963b1a7"></a><!-- doxytag: member="itpp::ND_UQAM::bits2symbols" ref="123a047e221467e2f63b4e353963b1a7" args="" -->
198<a class="el" href="classitpp_1_1Array.html">Array</a>&lt; ivec &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__ND.html#123a047e221467e2f63b4e353963b1a7">bits2symbols</a></td></tr>
199
200<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Bit pattern in decimal form ordered and the corresponding symbols (one pattern per dimension). <br></td></tr>
201<tr><td colspan="2"><br><h2>Friends</h2></td></tr>
202<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5934d627a296bb0e22e09c3d9051553b"></a><!-- doxytag: member="itpp::ND_UQAM::operator&lt;&lt;" ref="5934d627a296bb0e22e09c3d9051553b" args="(std::ostream &amp;os, const Modulator_NCD &amp;m)" -->
203std::ostream &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classitpp_1_1Modulator__NCD.html#5934d627a296bb0e22e09c3d9051553b">operator&lt;&lt;</a> (std::ostream &amp;os, const <a class="el" href="classitpp_1_1Modulator__NCD.html">Modulator_NCD</a> &amp;m)</td></tr>
204
205<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Print some properties of the MIMO modulator (mainly to aid debugging). <br></td></tr>
206</table>
207<hr><a name="_details"></a><h2>Detailed Description</h2>
208Complex MIMO channel with uniform <a class="el" href="classitpp_1_1QAM.html" title="M-ary QAM modulator with square lattice.">QAM</a> per dimension. <hr><h2>Member Enumeration Documentation</h2>
209<a class="anchor" name="6e3b4c745f904cdb34301aeb4cc03035"></a><!-- doxytag: member="itpp::ND_UQAM::Soft_Demod_Method" ref="6e3b4c745f904cdb34301aeb4cc03035" args="" -->
210<div class="memitem">
211<div class="memproto">
212      <table class="memname">
213        <tr>
214          <td class="memname">enum <a class="el" href="classitpp_1_1Modulator__ND.html#6e3b4c745f904cdb34301aeb4cc03035">itpp::Modulator_ND::Soft_Demod_Method</a><code> [inherited]</code>          </td>
215        </tr>
216      </table>
217</div>
218<div class="memdoc">
219
220<p>
221Soft demodulation method.
222<p>
223<dl compact><dt><b>Enumerator: </b></dt><dd>
224<table border="0" cellspacing="2" cellpadding="0">
225<tr><td valign="top"><em><a class="anchor" name="6e3b4c745f904cdb34301aeb4cc03035c743f79c2dbf90c34fd03075b7648058"></a><!-- doxytag: member="FULL_ENUM_LOGMAP" ref="6e3b4c745f904cdb34301aeb4cc03035c743f79c2dbf90c34fd03075b7648058" args="" -->FULL_ENUM_LOGMAP</em>&nbsp;</td><td>
226Log-MAP demodulation by "brute-force" enumeration of all points. </td></tr>
227<tr><td valign="top"><em><a class="anchor" name="6e3b4c745f904cdb34301aeb4cc03035d5798fd18f93f399475392b8aee09cba"></a><!-- doxytag: member="ZF_LOGMAP" ref="6e3b4c745f904cdb34301aeb4cc03035d5798fd18f93f399475392b8aee09cba" args="" -->ZF_LOGMAP</em>&nbsp;</td><td>
228Zero-Forcing Log-MAP approximated demodulation. </td></tr>
229</table>
230</dl>
231
232</div>
233</div><p>
234<hr><h2>Member Function Documentation</h2>
235<a class="anchor" name="544faf2c9477cf7b2fa2f69efc7b3abe"></a><!-- doxytag: member="itpp::ND_UQAM::demodulate_soft_bits" ref="544faf2c9477cf7b2fa2f69efc7b3abe" args="(const cvec &amp;y, const cvec &amp;H, double sigma2, const QLLRvec &amp;LLR_apriori, QLLRvec &amp;LLR_aposteriori)" -->
236<div class="memitem">
237<div class="memproto">
238      <table class="memname">
239        <tr>
240          <td class="memname">void itpp::Modulator_NCD::demodulate_soft_bits           </td>
241          <td>(</td>
242          <td class="paramtype">const cvec &amp;&nbsp;</td>
243          <td class="paramname"> <em>y</em>, </td>
244        </tr>
245        <tr>
246          <td class="paramkey"></td>
247          <td></td>
248          <td class="paramtype">const cvec &amp;&nbsp;</td>
249          <td class="paramname"> <em>H</em>, </td>
250        </tr>
251        <tr>
252          <td class="paramkey"></td>
253          <td></td>
254          <td class="paramtype">double&nbsp;</td>
255          <td class="paramname"> <em>sigma2</em>, </td>
256        </tr>
257        <tr>
258          <td class="paramkey"></td>
259          <td></td>
260          <td class="paramtype">const QLLRvec &amp;&nbsp;</td>
261          <td class="paramname"> <em>LLR_apriori</em>, </td>
262        </tr>
263        <tr>
264          <td class="paramkey"></td>
265          <td></td>
266          <td class="paramtype">QLLRvec &amp;&nbsp;</td>
267          <td class="paramname"> <em>LLR_aposteriori</em></td><td>&nbsp;</td>
268        </tr>
269        <tr>
270          <td></td>
271          <td>)</td>
272          <td></td><td></td><td><code> [inherited]</code></td>
273        </tr>
274      </table>
275</div>
276<div class="memdoc">
277
278<p>
279Soft MAP demodulation for parallelchannels without crosstalk.
280<p>
281This function is a much faster equivalent to <code>demodulate_soft_bits</code> with <img class="formulaInl" alt="$H = \mbox{diag}(h)$" src="form_299.png">. Its complexity is linear in the number of subchannels.
282<p>References <a class="el" href="itassert_8h-source.html#l00094">it_assert</a>, <a class="el" href="modulator__nd_8h-source.html#l00096">itpp::Modulator_ND::k</a>, <a class="el" href="matfunc_8h-source.html#l00051">itpp::length()</a>, <a class="el" href="modulator__nd_8h-source.html#l00094">itpp::Modulator_ND::llrcalc</a>, <a class="el" href="modulator__nd_8h-source.html#l00098">itpp::Modulator_ND::M</a>, <a class="el" href="modulator__nd_8h-source.html#l00092">itpp::Modulator_ND::nt</a>, <a class="el" href="group__specmat.html#g7c2c02190b4aa222cc692641cc3a73c7">itpp::ones_i()</a>, <a class="el" href="modulator__nd_8cpp-source.html#l00043">itpp::Modulator_ND::probabilities()</a>, <a class="el" href="elem__math_8h-source.html#l00056">itpp::sqr()</a>, <a class="el" href="matfunc_8h-source.html#l00077">itpp::sum()</a>, <a class="el" href="modulator__nd_8h-source.html#l00448">itpp::Modulator_NCD::symbols</a>, <a class="el" href="llr_8h-source.html#l00235">itpp::LLR_calc_unit::to_qllr()</a>, and <a class="el" href="modulator__nd_8cpp-source.html#l00093">itpp::Modulator_ND::update_LLR()</a>.</p>
283
284</div>
285</div><p>
286<a class="anchor" name="ca10f18dbcf7542db0c0d8078f7834ae"></a><!-- doxytag: member="itpp::ND_UQAM::demodulate_soft_bits" ref="ca10f18dbcf7542db0c0d8078f7834ae" args="(const cvec &amp;y, const cmat &amp;H, double sigma2, const QLLRvec &amp;LLR_apriori, QLLRvec &amp;LLR_aposteriori)" -->
287<div class="memitem">
288<div class="memproto">
289      <table class="memname">
290        <tr>
291          <td class="memname">void itpp::Modulator_NCD::demodulate_soft_bits           </td>
292          <td>(</td>
293          <td class="paramtype">const cvec &amp;&nbsp;</td>
294          <td class="paramname"> <em>y</em>, </td>
295        </tr>
296        <tr>
297          <td class="paramkey"></td>
298          <td></td>
299          <td class="paramtype">const cmat &amp;&nbsp;</td>
300          <td class="paramname"> <em>H</em>, </td>
301        </tr>
302        <tr>
303          <td class="paramkey"></td>
304          <td></td>
305          <td class="paramtype">double&nbsp;</td>
306          <td class="paramname"> <em>sigma2</em>, </td>
307        </tr>
308        <tr>
309          <td class="paramkey"></td>
310          <td></td>
311          <td class="paramtype">const QLLRvec &amp;&nbsp;</td>
312          <td class="paramname"> <em>LLR_apriori</em>, </td>
313        </tr>
314        <tr>
315          <td class="paramkey"></td>
316          <td></td>
317          <td class="paramtype">QLLRvec &amp;&nbsp;</td>
318          <td class="paramname"> <em>LLR_aposteriori</em></td><td>&nbsp;</td>
319        </tr>
320        <tr>
321          <td></td>
322          <td>)</td>
323          <td></td><td></td><td><code> [inherited]</code></td>
324        </tr>
325      </table>
326</div>
327<div class="memdoc">
328
329<p>
330Soft MAP demodulation for multidimensional channel, by "brute-force" enumeration of all constellation points.
331<p>
332This function computes the LLR values <p class="formulaDsp">
333<img class="formulaDsp" alt="\[ LLR(k) = \log \left( \frac {\sum_{s:b_k=0} \exp \left( -\frac{|y - Hs|^2}{\sigma^2} \right) P(s)} {\sum_{s:b_k=1} \exp \left( -\frac{|y - Hs|^2}{\sigma^2} \right) P(s)} \right) \]" src="form_301.png">
334<p>
335<p>
336without approximations. It is assumed that H, y and s are complex-valued.<p>
337<dl compact><dt><b>Parameters:</b></dt><dd>
338  <table border="0" cellspacing="2" cellpadding="0">
339    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>y</em>&nbsp;</td><td>Received vector </td></tr>
340    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>H</em>&nbsp;</td><td>Channel matrix </td></tr>
341    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>sigma2</em>&nbsp;</td><td>Noise variance per complex dimension, i.e. the sum of real and imaginary parts (typically <img class="formulaInl" alt="$N_0$" src="form_233.png">) </td></tr>
342    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>LLR_apriori</em>&nbsp;</td><td>Vector of a priori LLR values per bit </td></tr>
343    <tr><td valign="top"><tt>[out]</tt>&nbsp;</td><td valign="top"><em>LLR_aposteriori</em>&nbsp;</td><td>Vector of a posteriori LLR values</td></tr>
344  </table>
345</dl>
346The function performs an exhaustive search over all possible points <code>s</code> in the n-dimensional constellation. This is only feasible for relatively small constellations. The Jacobian logarithm is used to compute the sum-exp expression.
347<p>References <a class="el" href="fix__functions_8cpp-source.html#l00098">itpp::conj()</a>, <a class="el" href="itassert_8h-source.html#l00094">it_assert</a>, <a class="el" href="modulator__nd_8h-source.html#l00096">itpp::Modulator_ND::k</a>, <a class="el" href="matfunc_8h-source.html#l00051">itpp::length()</a>, <a class="el" href="modulator__nd_8h-source.html#l00094">itpp::Modulator_ND::llrcalc</a>, <a class="el" href="modulator__nd_8h-source.html#l00098">itpp::Modulator_ND::M</a>, <a class="el" href="misc__stat_8h-source.html#l00193">itpp::norm()</a>, <a class="el" href="modulator__nd_8h-source.html#l00092">itpp::Modulator_ND::nt</a>, <a class="el" href="group__specmat.html#g7c2c02190b4aa222cc692641cc3a73c7">itpp::ones_i()</a>, <a class="el" href="modulator__nd_8cpp-source.html#l00043">itpp::Modulator_ND::probabilities()</a>, <a class="el" href="elem__math_8h-source.html#l00056">itpp::sqr()</a>, <a class="el" href="matfunc_8h-source.html#l00077">itpp::sum()</a>, <a class="el" href="modulator__nd_8h-source.html#l00448">itpp::Modulator_NCD::symbols</a>, <a class="el" href="llr_8h-source.html#l00235">itpp::LLR_calc_unit::to_qllr()</a>, <a class="el" href="modulator__nd_8cpp-source.html#l00093">itpp::Modulator_ND::update_LLR()</a>, and <a class="el" href="modulator__nd_8cpp-source.html#l00529">itpp::Modulator_NCD::update_norm()</a>.</p>
348
349</div>
350</div><p>
351<a class="anchor" name="a45b72fcdc70134a46710d7a5a381976"></a><!-- doxytag: member="itpp::ND_UQAM::demodulate_soft_bits" ref="a45b72fcdc70134a46710d7a5a381976" args="(const cvec &amp;y, const cmat &amp;H, double sigma2, const QLLRvec &amp;LLR_apriori, Soft_Demod_Method method)" -->
352<div class="memitem">
353<div class="memproto">
354      <table class="memname">
355        <tr>
356          <td class="memname">QLLRvec itpp::Modulator_NCD::demodulate_soft_bits           </td>
357          <td>(</td>
358          <td class="paramtype">const cvec &amp;&nbsp;</td>
359          <td class="paramname"> <em>y</em>, </td>
360        </tr>
361        <tr>
362          <td class="paramkey"></td>
363          <td></td>
364          <td class="paramtype">const cmat &amp;&nbsp;</td>
365          <td class="paramname"> <em>H</em>, </td>
366        </tr>
367        <tr>
368          <td class="paramkey"></td>
369          <td></td>
370          <td class="paramtype">double&nbsp;</td>
371          <td class="paramname"> <em>sigma2</em>, </td>
372        </tr>
373        <tr>
374          <td class="paramkey"></td>
375          <td></td>
376          <td class="paramtype">const QLLRvec &amp;&nbsp;</td>
377          <td class="paramname"> <em>LLR_apriori</em>, </td>
378        </tr>
379        <tr>
380          <td class="paramkey"></td>
381          <td></td>
382          <td class="paramtype"><a class="el" href="classitpp_1_1Modulator__ND.html#6e3b4c745f904cdb34301aeb4cc03035">Soft_Demod_Method</a>&nbsp;</td>
383          <td class="paramname"> <em>method</em></td><td>&nbsp;</td>
384        </tr>
385        <tr>
386          <td></td>
387          <td>)</td>
388          <td></td><td></td><td><code> [inherited]</code></td>
389        </tr>
390      </table>
391</div>
392<div class="memdoc">
393
394<p>
395Soft demodulation wrapper function for various methods.
396<p>
397Currently the following two demodulation methods are supported:<ul>
398<li>FULL_ENUM_LOGMAP - exact demodulation, which use "brute-force" enumeration of all constellation points</li><li>ZF_LOGMAP - approximated methods with Zero-Forcing preprocessing, which sometimes tends to perform poorly, especially for poorly conditioned H</li></ul>
399<p>
400<dl compact><dt><b>Parameters:</b></dt><dd>
401  <table border="0" cellspacing="2" cellpadding="0">
402    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>y</em>&nbsp;</td><td>Received vector </td></tr>
403    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>H</em>&nbsp;</td><td>Channel matrix </td></tr>
404    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>sigma2</em>&nbsp;</td><td>Noise variance per complex dimension, i.e. the sum of real and imaginary parts (typically <img class="formulaInl" alt="$N_0$" src="form_233.png">) </td></tr>
405    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>LLR_apriori</em>&nbsp;</td><td>Vector of a priori LLR values per bit </td></tr>
406    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>method</em>&nbsp;</td><td>Soft demodulation method </td></tr>
407  </table>
408</dl>
409<dl class="return" compact><dt><b>Returns:</b></dt><dd>Vector of a posteriori LLR values </dd></dl>
410
411<p>References <a class="el" href="modulator__nd_8cpp-source.html#l00370">itpp::Modulator_NCD::demodulate_soft_bits()</a>.</p>
412
413</div>
414</div><p>
415<a class="anchor" name="a25a04d3c20e24c033a1dd152e674f7c"></a><!-- doxytag: member="itpp::ND_UQAM::demodulate_soft_bits" ref="a25a04d3c20e24c033a1dd152e674f7c" args="(const cvec &amp;y, const cmat &amp;H, double sigma2, const QLLRvec &amp;LLR_apriori, QLLRvec &amp;LLR_aposteriori, Soft_Demod_Method method)" -->
416<div class="memitem">
417<div class="memproto">
418      <table class="memname">
419        <tr>
420          <td class="memname">void itpp::Modulator_NCD::demodulate_soft_bits           </td>
421          <td>(</td>
422          <td class="paramtype">const cvec &amp;&nbsp;</td>
423          <td class="paramname"> <em>y</em>, </td>
424        </tr>
425        <tr>
426          <td class="paramkey"></td>
427          <td></td>
428          <td class="paramtype">const cmat &amp;&nbsp;</td>
429          <td class="paramname"> <em>H</em>, </td>
430        </tr>
431        <tr>
432          <td class="paramkey"></td>
433          <td></td>
434          <td class="paramtype">double&nbsp;</td>
435          <td class="paramname"> <em>sigma2</em>, </td>
436        </tr>
437        <tr>
438          <td class="paramkey"></td>
439          <td></td>
440          <td class="paramtype">const QLLRvec &amp;&nbsp;</td>
441          <td class="paramname"> <em>LLR_apriori</em>, </td>
442        </tr>
443        <tr>
444          <td class="paramkey"></td>
445          <td></td>
446          <td class="paramtype">QLLRvec &amp;&nbsp;</td>
447          <td class="paramname"> <em>LLR_aposteriori</em>, </td>
448        </tr>
449        <tr>
450          <td class="paramkey"></td>
451          <td></td>
452          <td class="paramtype"><a class="el" href="classitpp_1_1Modulator__ND.html#6e3b4c745f904cdb34301aeb4cc03035">Soft_Demod_Method</a>&nbsp;</td>
453          <td class="paramname"> <em>method</em></td><td>&nbsp;</td>
454        </tr>
455        <tr>
456          <td></td>
457          <td>)</td>
458          <td></td><td></td><td><code> [inherited]</code></td>
459        </tr>
460      </table>
461</div>
462<div class="memdoc">
463
464<p>
465Soft demodulation wrapper function for various methods.
466<p>
467Soft demodulation wrapper function for various methods Currently the following two demodulation methods are supported:<ul>
468<li>FULL_ENUM_LOGMAP - exact demodulation, which use "brute-force" enumeration of all constellation points</li><li>ZF_LOGMAP - approximated methods with Zero-Forcing preprocessing, which sometimes tends to perform poorly, especially for poorly conditioned H</li></ul>
469<p>
470<dl compact><dt><b>Parameters:</b></dt><dd>
471  <table border="0" cellspacing="2" cellpadding="0">
472    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>y</em>&nbsp;</td><td>Received vector </td></tr>
473    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>H</em>&nbsp;</td><td>Channel matrix </td></tr>
474    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>sigma2</em>&nbsp;</td><td>Noise variance per complex dimension, i.e. the sum of real and imaginary parts (typically <img class="formulaInl" alt="$N_0$" src="form_233.png">) </td></tr>
475    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>LLR_apriori</em>&nbsp;</td><td>Vector of a priori LLR values per bit </td></tr>
476    <tr><td valign="top"><tt>[out]</tt>&nbsp;</td><td valign="top"><em>LLR_aposteriori</em>&nbsp;</td><td>Vector of a posteriori LLR values </td></tr>
477    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>method</em>&nbsp;</td><td>Soft demodulation method </td></tr>
478  </table>
479</dl>
480
481<p>References <a class="el" href="modulator__nd_8h-source.html#l00064">itpp::Modulator_ND::FULL_ENUM_LOGMAP</a>, <a class="el" href="inv_8cpp-source.html#l00109">itpp::inv()</a>, <a class="el" href="itassert_8h-source.html#l00094">it_assert</a>, <a class="el" href="itassert_8h-source.html#l00126">it_error</a>, <a class="el" href="modulator__nd_8h-source.html#l00096">itpp::Modulator_ND::k</a>, <a class="el" href="group__specmat.html#g593a539551f14bd6241701910a106b16">itpp::ones_c()</a>, <a class="el" href="fix__functions_8cpp-source.html#l00084">itpp::real()</a>, <a class="el" href="elem__math_8h-source.html#l00126">itpp::sqrt()</a>, <a class="el" href="matfunc_8h-source.html#l00077">itpp::sum()</a>, <a class="el" href="group__specmat.html#g9df9aa3553b6a5c07924954b85466cec">itpp::zeros_i()</a>, and <a class="el" href="modulator__nd_8h-source.html#l00066">itpp::Modulator_ND::ZF_LOGMAP</a>.</p>
482
483<p>Referenced by <a class="el" href="modulator__nd_8cpp-source.html#l00402">itpp::Modulator_NCD::demodulate_soft_bits()</a>.</p>
484
485</div>
486</div><p>
487<a class="anchor" name="6bb417318b8105a78db7ad2c618283ce"></a><!-- doxytag: member="itpp::ND_UQAM::update_LLR" ref="6bb417318b8105a78db7ad2c618283ce" args="(const Array&lt; QLLRvec &gt; &amp;logP_apriori, int s, QLLR scaled_norm, int j, QLLRvec &amp;num, QLLRvec &amp;denom)" -->
488<div class="memitem">
489<div class="memproto">
490      <table class="memname">
491        <tr>
492          <td class="memname">void itpp::Modulator_ND::update_LLR           </td>
493          <td>(</td>
494          <td class="paramtype">const <a class="el" href="classitpp_1_1Array.html">Array</a>&lt; QLLRvec &gt; &amp;&nbsp;</td>
495          <td class="paramname"> <em>logP_apriori</em>, </td>
496        </tr>
497        <tr>
498          <td class="paramkey"></td>
499          <td></td>
500          <td class="paramtype">int&nbsp;</td>
501          <td class="paramname"> <em>s</em>, </td>
502        </tr>
503        <tr>
504          <td class="paramkey"></td>
505          <td></td>
506          <td class="paramtype">QLLR&nbsp;</td>
507          <td class="paramname"> <em>scaled_norm</em>, </td>
508        </tr>
509        <tr>
510          <td class="paramkey"></td>
511          <td></td>
512          <td class="paramtype">int&nbsp;</td>
513          <td class="paramname"> <em>j</em>, </td>
514        </tr>
515        <tr>
516          <td class="paramkey"></td>
517          <td></td>
518          <td class="paramtype">QLLRvec &amp;&nbsp;</td>
519          <td class="paramname"> <em>num</em>, </td>
520        </tr>
521        <tr>
522          <td class="paramkey"></td>
523          <td></td>
524          <td class="paramtype">QLLRvec &amp;&nbsp;</td>
525          <td class="paramname"> <em>denom</em></td><td>&nbsp;</td>
526        </tr>
527        <tr>
528          <td></td>
529          <td>)</td>
530          <td></td><td></td><td><code> [protected, inherited]</code></td>
531        </tr>
532      </table>
533</div>
534<div class="memdoc">
535
536<p>
537Update LLR, for scalar channel (for internal use).
538<p>
539This function updates the numerator and denominator in the expression <p class="formulaDsp">
540<img class="formulaDsp" alt="\[ \log \left( \frac {\sum_{s:b_k=0} \exp (-x^2) P(s)} {\sum_{s:b_k=1} \exp (-x^2) P(s)} \right) \]" src="form_297.png">
541<p>
542<p>
543<dl compact><dt><b>Parameters:</b></dt><dd>
544  <table border="0" cellspacing="2" cellpadding="0">
545    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>logP_apriori</em>&nbsp;</td><td>Vector of a priori probabilities per bit </td></tr>
546    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>s</em>&nbsp;</td><td>Symbol </td></tr>
547    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>scaled_norm</em>&nbsp;</td><td>Argument of the exponents in the above equation </td></tr>
548    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>j</em>&nbsp;</td><td>Channel index (dimension) </td></tr>
549    <tr><td valign="top"><tt>[out]</tt>&nbsp;</td><td valign="top"><em>num</em>&nbsp;</td><td>Logarithm of the numerator in the above expression </td></tr>
550    <tr><td valign="top"><tt>[out]</tt>&nbsp;</td><td valign="top"><em>denom</em>&nbsp;</td><td>Logarithm of the denominator in the above expression </td></tr>
551  </table>
552</dl>
553
554<p>References <a class="el" href="modulator__nd_8h-source.html#l00100">itpp::Modulator_ND::bitmap</a>, <a class="el" href="llr_8h-source.html#l00270">itpp::LLR_calc_unit::jaclog()</a>, <a class="el" href="modulator__nd_8h-source.html#l00096">itpp::Modulator_ND::k</a>, and <a class="el" href="modulator__nd_8h-source.html#l00094">itpp::Modulator_ND::llrcalc</a>.</p>
555
556</div>
557</div><p>
558<a class="anchor" name="48975e0d26dac075e1f448bdca15ca87"></a><!-- doxytag: member="itpp::ND_UQAM::update_LLR" ref="48975e0d26dac075e1f448bdca15ca87" args="(const Array&lt; QLLRvec &gt; &amp;logP_apriori, const ivec &amp;s, QLLR scaled_norm, QLLRvec &amp;num, QLLRvec &amp;denom)" -->
559<div class="memitem">
560<div class="memproto">
561      <table class="memname">
562        <tr>
563          <td class="memname">void itpp::Modulator_ND::update_LLR           </td>
564          <td>(</td>
565          <td class="paramtype">const <a class="el" href="classitpp_1_1Array.html">Array</a>&lt; QLLRvec &gt; &amp;&nbsp;</td>
566          <td class="paramname"> <em>logP_apriori</em>, </td>
567        </tr>
568        <tr>
569          <td class="paramkey"></td>
570          <td></td>
571          <td class="paramtype">const ivec &amp;&nbsp;</td>
572          <td class="paramname"> <em>s</em>, </td>
573        </tr>
574        <tr>
575          <td class="paramkey"></td>
576          <td></td>
577          <td class="paramtype">QLLR&nbsp;</td>
578          <td class="paramname"> <em>scaled_norm</em>, </td>
579        </tr>
580        <tr>
581          <td class="paramkey"></td>
582          <td></td>
583          <td class="paramtype">QLLRvec &amp;&nbsp;</td>
584          <td class="paramname"> <em>num</em>, </td>
585        </tr>
586        <tr>
587          <td class="paramkey"></td>
588          <td></td>
589          <td class="paramtype">QLLRvec &amp;&nbsp;</td>
590          <td class="paramname"> <em>denom</em></td><td>&nbsp;</td>
591        </tr>
592        <tr>
593          <td></td>
594          <td>)</td>
595          <td></td><td></td><td><code> [protected, inherited]</code></td>
596        </tr>
597      </table>
598</div>
599<div class="memdoc">
600
601<p>
602Update LLR (for internal use).
603<p>
604This function updates the numerator and denominator in the expression <p class="formulaDsp">
605<img class="formulaDsp" alt="\[ \log \left( \frac {\sum_{s:b_k=0} \exp(-x^2) P(s)} {\sum_{s:b_k=1} \exp(-x^2) P(s)} \right) \]" src="form_296.png">
606<p>
607<p>
608<dl compact><dt><b>Parameters:</b></dt><dd>
609  <table border="0" cellspacing="2" cellpadding="0">
610    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>logP_apriori</em>&nbsp;</td><td>Vector of a priori probabilities per bit </td></tr>
611    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>s</em>&nbsp;</td><td>Symbol vector </td></tr>
612    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>scaled_norm</em>&nbsp;</td><td>Argument of the exponents in the above equation </td></tr>
613    <tr><td valign="top"><tt>[out]</tt>&nbsp;</td><td valign="top"><em>num</em>&nbsp;</td><td>Logarithm of the numerator in the above expression </td></tr>
614    <tr><td valign="top"><tt>[out]</tt>&nbsp;</td><td valign="top"><em>denom</em>&nbsp;</td><td>Logarithm of the denominator in the above expression </td></tr>
615  </table>
616</dl>
617
618<p>References <a class="el" href="modulator__nd_8h-source.html#l00100">itpp::Modulator_ND::bitmap</a>, <a class="el" href="llr_8h-source.html#l00270">itpp::LLR_calc_unit::jaclog()</a>, <a class="el" href="modulator__nd_8h-source.html#l00096">itpp::Modulator_ND::k</a>, <a class="el" href="modulator__nd_8h-source.html#l00094">itpp::Modulator_ND::llrcalc</a>, and <a class="el" href="modulator__nd_8h-source.html#l00092">itpp::Modulator_ND::nt</a>.</p>
619
620<p>Referenced by <a class="el" href="modulator__nd_8cpp-source.html#l00413">itpp::Modulator_NCD::demodulate_soft_bits()</a>, and <a class="el" href="modulator__nd_8cpp-source.html#l00193">itpp::Modulator_NRD::demodulate_soft_bits()</a>.</p>
621
622</div>
623</div><p>
624<a class="anchor" name="27e760213e8c30b93fc338b4a6e3a864"></a><!-- doxytag: member="itpp::ND_UQAM::update_norm" ref="27e760213e8c30b93fc338b4a6e3a864" args="(double &amp;norm, int k, int sold, int snew, const cvec &amp;ytH, const cmat &amp;HtH, const ivec &amp;s)" -->
625<div class="memitem">
626<div class="memproto">
627      <table class="memname">
628        <tr>
629          <td class="memname">void itpp::Modulator_NCD::update_norm           </td>
630          <td>(</td>
631          <td class="paramtype">double &amp;&nbsp;</td>
632          <td class="paramname"> <em>norm</em>, </td>
633        </tr>
634        <tr>
635          <td class="paramkey"></td>
636          <td></td>
637          <td class="paramtype">int&nbsp;</td>
638          <td class="paramname"> <em>k</em>, </td>
639        </tr>
640        <tr>
641          <td class="paramkey"></td>
642          <td></td>
643          <td class="paramtype">int&nbsp;</td>
644          <td class="paramname"> <em>sold</em>, </td>
645        </tr>
646        <tr>
647          <td class="paramkey"></td>
648          <td></td>
649          <td class="paramtype">int&nbsp;</td>
650          <td class="paramname"> <em>snew</em>, </td>
651        </tr>
652        <tr>
653          <td class="paramkey"></td>
654          <td></td>
655          <td class="paramtype">const cvec &amp;&nbsp;</td>
656          <td class="paramname"> <em>ytH</em>, </td>
657        </tr>
658        <tr>
659          <td class="paramkey"></td>
660          <td></td>
661          <td class="paramtype">const cmat &amp;&nbsp;</td>
662          <td class="paramname"> <em>HtH</em>, </td>
663        </tr>
664        <tr>
665          <td class="paramkey"></td>
666          <td></td>
667          <td class="paramtype">const ivec &amp;&nbsp;</td>
668          <td class="paramname"> <em>s</em></td><td>&nbsp;</td>
669        </tr>
670        <tr>
671          <td></td>
672          <td>)</td>
673          <td></td><td></td><td><code> [protected, inherited]</code></td>
674        </tr>
675      </table>
676</div>
677<div class="memdoc">
678
679<p>
680Update residual norm (for internal use).
681<p>
682Update the residual norm <img class="formulaInl" alt="$|y-Hs|$" src="form_300.png"> when moving from one constellation point to an adjacent point.<p>
683<dl compact><dt><b>Parameters:</b></dt><dd>
684  <table border="0" cellspacing="2" cellpadding="0">
685    <tr><td valign="top"><tt>[in,out]</tt>&nbsp;</td><td valign="top"><em>norm</em>&nbsp;</td><td>Norm to be updated </td></tr>
686    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>k</em>&nbsp;</td><td>Position where s changed </td></tr>
687    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>sold</em>&nbsp;</td><td>Old value of s[k] </td></tr>
688    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>snew</em>&nbsp;</td><td>New value of s[k] </td></tr>
689    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>ytH</em>&nbsp;</td><td>y'H vector </td></tr>
690    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>HtH</em>&nbsp;</td><td>Grammian matrix H'H </td></tr>
691    <tr><td valign="top"><tt>[in]</tt>&nbsp;</td><td valign="top"><em>s</em>&nbsp;</td><td>Symbol vector </td></tr>
692  </table>
693</dl>
694
695<p>References <a class="el" href="fix__functions_8cpp-source.html#l00098">itpp::conj()</a>, <a class="el" href="matfunc_8h-source.html#l00051">itpp::length()</a>, <a class="el" href="fix__functions_8cpp-source.html#l00084">itpp::real()</a>, <a class="el" href="elem__math_8h-source.html#l00056">itpp::sqr()</a>, and <a class="el" href="modulator__nd_8h-source.html#l00448">itpp::Modulator_NCD::symbols</a>.</p>
696
697<p>Referenced by <a class="el" href="modulator__nd_8cpp-source.html#l00444">itpp::Modulator_NCD::demodulate_soft_bits()</a>.</p>
698
699</div>
700</div><p>
701<hr>The documentation for this class was generated from the following files:<ul>
702<li><a class="el" href="modulator__nd_8h-source.html">modulator_nd.h</a><li><a class="el" href="modulator__nd_8cpp.html">modulator_nd.cpp</a></ul>
703</div>
704<hr size="1"><address style="text-align: right;"><small>Generated on Tue Jun 2 10:02:19 2009 for mixpp by&nbsp;
705<a href="http://www.doxygen.org/index.html">
706<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.8 </small></address>
707</body>
708</html>
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