MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed.

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MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed MIMO Systems

Page  2 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Chapter 11. Signal Detection for Spatially Multiplexed MIMO Systems  11.1 LINEAR SIGNAL DETECTION ZF Signal Detection MMSE Signal Detection  11.2 OSIC SIGNAL DETECTION  11.3 ML SIGNAL DETECTION  11.4 SPHERE DECODING METHOD  11.5 QRM-MLD METHOD  11.6 LATTICE REDUCTION-AIDED DETECTION Lenstra-Lenstra-Lovasz (LLL) Algorithm Application of Lattice Reduction

Page  3 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Chapter 11. Signal Detection for Spatially Multiplexed MIMO System  11.7 SOFT DECISION FOR MIMO SYSTEMS Log-likelihood-Ratio (LLR) for SISO Systems LLR for Linear Detector based MIMO System LLR for MIMO System with a Candidate Vector Set LLR for MIMO System using a Limited Candidate Vector Set

Page  4 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Chapter 11. Signal Detection for Spatially Multiplexed MIMO Systems 11.1 Linear Signal Detection

Page  5 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.1 Linear Signal Detection

Page  6 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd ZF Signal Detection

Page  7 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd ZF Signal Detection

Page  8 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd MMSE Signal Detection

Page  9 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd MMSE Signal Detection

Page  10 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd MMSE Signal Detection

Page  11 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd MMSE Signal Detection

Page  12 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.2 OSIC Signal Detection

Page  13 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.2 OSIC Signal Detection

Page  14 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.2 OSIC Signal Detection

Page  15 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.3 ML Signal Detection

Page  16 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.4 Sphere Decoding Method

Page  17 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.4 Sphere Decoding Method

Page  18 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.4 Sphere Decoding Method

Page  19 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.4 Sphere Decoding Method

Page  20 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.4 Sphere Decoding Method

Page  21 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.4 Sphere Decoding Method

Page  22 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.4 Sphere Decoding Method

Page  23 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.4 Sphere Decoding Method MultiplicationsDivisionsSquare roots 1600 in (11.33)1400 Step 1011 Step 2-4 each121 update100

Page  24 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.5 QRM-MLD Method

Page  25 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.5 QRM-MLD Method

Page  26 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.5 QRM-MLD Method

Page  27 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.6 Lattice Reduction-Aided Detection

Page  28 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Lenstra-Lenstra-Lovasz (LLL) Algorithm

Page  29 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Lenstra-Lenstra-Lovasz (LLL) Algorithm

Page  30 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Lenstra-Lenstra-Lovasz (LLL) Algorithm

Page  31 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Lenstra-Lenstra-Lovasz (LLL) Algorithm

Page  32 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Lenstra-Lenstra-Lovasz (LLL) Algorithm

Page  33 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Lenstra-Lenstra-Lovasz (LLL) Algorithm

Page  34 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Lenstra-Lenstra-Lovasz (LLL) Algorithm

Page  35 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Application of Lattice Reduction

Page  36 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Application of Lattice Reduction

Page  37 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd 11.7 Soft Decision MIMO Systems Log-Likehood-Ratio (LLR) for SISO Systems

Page  38 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Log-Likehood-Ratio (LLR) for SISO Systems

Page  39 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Log-Likehood-Ratio (LLR) for SISO Systems

Page  40 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Log-Likehood-Ratio (LLR) for SISO Systems

Page  41 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Log-Likehood-Ratio (LLR) for SISO Systems

Page  42 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Log-Likehood-Ratio (LLR) for SISO Systems

Page  43 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Log-Likehood-Ratio (LLR) for SISO Systems

Page  44 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Log-Likehood-Ratio (LLR) for SISO Systems

Page  45 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Log-Likehood-Ratio (LLR) for SISO Systems

Page  46 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Log-Likehood-Ratio (LLR) for SISO Systems

Page  47 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd LLR for Linear Detector-Based MIMO System

Page  48 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd LLR for Linear Detector-Based MIMO System

Page  49 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd LLR for Linear Detector-Based MIMO System

Page  50 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd LLR for MIMO System with a Candidate Vector Set

Page  51 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd LLR for MIMO System with a Candidate Vector Set

Page  52 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd LLR for MIMO System with a Candidate Vector Set

Page  53 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd LLR for MIMO System with a Candidate Vector Set

Page  54 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd LLR for MIMO System Using a Limited Candidate Vector Set

Page  55 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd LLR for MIMO System Using a Limited Candidate Vector Set

Page  56 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd LLR for MIMO System Using a Limited Candidate Vector Set Multiplication FFT size64 CP size16 Antenna configuration 4 x 4 Packet length10 OFDM symbols Symbol mapping16-QAM Channel coding Convolutional coding -Rate: 1/2 -Constraint length: K=7 -Generating polynomials: [ ] and [ ].

Page  57 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd LLR for MIMO System Using a Limited Candidate Vector Set

Page  58 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd LLR for MIMO System Using a Limited Candidate Vector Set

Page  59 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Appendix 11.A Derivation of Equation (11.23)

Page  60 MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang © 2010 John Wiley & Sons (Asia) Pte Ltd Appendix 11.A Derivation of Equation (11.23)