Bit Error Rate Analysis of TSVD-Based mMIMO Detection Techniques over Correlated Rician Fading Channel using Dynamic Threshold

The Bit Error Rate (BER) performance of linear detection techniques namely, direct pseudo-inverse and Zero Forcing (ZF) deteriorates for massive Multiple Input and Multiple Output (mMIMO) system with increase in load factor and number of transmitting antennas that results in a significant performance difference in Average BER (ABER) between Minimum Mean Square Error (MMSE) and direct pseudo-inverse or ZF detection techniques. Therefore, Truncated Singular Value Decomposition (TSVD) is employed in direct pseudo-inverse and ZF detection algorithms to enhance the ABER performance of mMIMO systems over correlated Rician fading channel by employing dynamic threshold. Further, the singularity threshold equations ( ɛ _thZF and ɛ _thdi ) for TSVD-based direct pseudo-inverse and ZF detection techniques are obtained by analyzing their respective Post-Detection Signal-to-Interference-Noise Ratio (PDSINR) expressions. Moreover, the detection complexity of TSVD-based direct pseudo-inverse and ZF detection techniques is obtained as O(N _T ² log(t)+N _T t ² ) and O(N _T ² N_R+N _T ² log(t)+N _T t ² ) , respectively.