Performance of FDE Using Frequency Domain Despreading and Averaging of Cyclic-Shifted CDM Based Pilot Signals for Single-Carrier LOS-MIMO

Abstract

This paper presents the bit error rate (BER) performance of frequency domain equalization (FDE) using cyclic-shifted code division multiplexing (CDM) pilot signals for single-carrier line-of-sight (LOS) - multiple-input multiple-output (MIMO) multiplexing. We propose applying different cyclic-shift resources of the same Zadoff-Chu sequence to transmission-stream-specific pilot signals that are essential for estimating the channel response for FDE and phase noise in LOS-MIMO. To validate the effectiveness of the cyclic-shifted pilot multiplexing, we use partial low-density parity-check (LDPC) coding with double Gray mapping and collaborative decoding. Simulations show that pilot signal multiplexing using a cyclic-shifted Zadoff-Chu sequence, and frequency domain averaging of the estimated channel response are effective in achieving accurate channel estimation for single-carrier LOS-MIMO. We also show that the required received signal-to-noise power ratio at the BER of 10^-7 using partial LDPC coding is decreased by more than 6.6dB compared to that without LDPC coding even for the deep notch depth of -20dB regardless of the relationship between the notch frequencies in the direct and cross links for 2×2 LOS-MIMO in a Rummler fading channel. Therefore, we conclude that the CDM-based pilot signal multiplexing with different cyclic shifts is effective in accurately estimating the channel response specific to the combination sets of transmitter and receiver antennas and in achieving a low pilot-overhead loss for single-carrier LOS-MIMO.