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

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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Page 1: 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-OFDM WirelessCommunicationswith 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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 2MIMO-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

- 11.1.1 ZF Signal Detection

- 11.1.2 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

- 11.6.1 Lenstra-Lenstra-Lovasz (LLL) Algorithm

- 11.6.2 Application of Lattice Reduction

Page 3: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 3MIMO-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

- 11.7.1 Log-likelihood-Ratio (LLR) for SISO Systems

- 11.7.2 LLR for Linear Detector based MIMO System

- 11.7.3 LLR for MIMO System with a Candidate Vector Set

- 11.7.4 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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 4MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 5MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 6MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.1.1 ZF Signal Detection

Page 7: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 7MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.1.1 ZF Signal Detection

Page 8: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 8MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.1.2 MMSE Signal Detection

Page 9: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 9MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.1.2 MMSE Signal Detection

Page 10: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 10MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.1.2 MMSE Signal Detection

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

Page 11MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.1.2 MMSE Signal Detection

Page 12: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 12MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 13MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 14MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 15MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 16MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 17MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 18MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 19MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 20MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 21MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 22MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 23MIMO-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

Multiplications Divisions Square roots

16 0 0

in (11.33) 14 0 0

Step 1 0 1 1

Step 2-4 each 1 2 1

update 1 0 0

1ˆ ( )x H y

2SDR

2SDR

Page 24: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 24MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 25MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 26MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 27MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 28MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.6.1 Lenstra-Lenstra-Lovasz (LLL) Algorithm

Page 29: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 29MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.6.1 Lenstra-Lenstra-Lovasz (LLL) Algorithm

Page 30: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 30MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.6.1 Lenstra-Lenstra-Lovasz (LLL) Algorithm

Page 31: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 31MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.6.1 Lenstra-Lenstra-Lovasz (LLL) Algorithm

Page 32: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 32MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.6.1 Lenstra-Lenstra-Lovasz (LLL) Algorithm

Page 33: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 33MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.6.1 Lenstra-Lenstra-Lovasz (LLL) Algorithm

Page 34: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 34MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.6.1 Lenstra-Lenstra-Lovasz (LLL) Algorithm

Page 35: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 35MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.6.2 Application of Lattice Reduction

Page 36: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 36MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.6.2 Application of Lattice Reduction

Page 37: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 37MIMO-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 Systems11.7.1 Log-Likehood-Ratio (LLR) for SISO Systems

Page 38: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 38MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.1 Log-Likehood-Ratio (LLR) for SISO Systems

Page 39: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 39MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.1 Log-Likehood-Ratio (LLR) for SISO Systems

Page 40: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 40MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.1 Log-Likehood-Ratio (LLR) for SISO Systems

Page 41: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 41MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.1 Log-Likehood-Ratio (LLR) for SISO Systems

Page 42: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 42MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.1 Log-Likehood-Ratio (LLR) for SISO Systems

Page 43: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 43MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.1 Log-Likehood-Ratio (LLR) for SISO Systems

Page 44: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 44MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.1 Log-Likehood-Ratio (LLR) for SISO Systems

Page 45: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 45MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.1 Log-Likehood-Ratio (LLR) for SISO Systems

Page 46: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 46MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.1 Log-Likehood-Ratio (LLR) for SISO Systems

Page 47: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 47MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.2 LLR for Linear Detector-Based MIMO System

Page 48: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 48MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.2 LLR for Linear Detector-Based MIMO System

Page 49: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 49MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.2 LLR for Linear Detector-Based MIMO System

Page 50: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 50MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.3 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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 51MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.3 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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 52MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.3 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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 53MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.3 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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 54MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.4 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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 55MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.4 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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 56MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.4 LLR for MIMO System Using a Limited Candidate Vector Set

Multiplication

FFT size 64

CP size 16

Antenna configuration 4 x 4

Packet length 10 OFDM symbols

Symbol mapping 16-QAM

Channel coding

Convolutional coding-Rate: 1/2

-Constraint length: K=7-Generating polynomials: [1001111] and [1101101].

Page 57: MIMO-OFDM Wireless Communications with MATLAB ® Yong Soo Cho | Jaekwon Kim Won Young Yang | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 57MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.4 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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 58MIMO-OFDM Wireless Communications with MATLAB®

Yong Soo Cho, Jaekwon Kim, Won Young Yang, and Chung G. Kang© 2010 John Wiley & Sons (Asia) Pte Ltd

11.7.4 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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 59MIMO-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 | Chung G. Kang Chapter 11. Signal Detection for Spatially Multiplexed

Page 60MIMO-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)