Pilot-Symbol-Assisted Phase Noise Compensation With Forward–Backward Wiener Smoothing Filters

We present a novel Wiener smoothing filter procedure for pilot-symbol-assisted estimation of oscillator phase noise. The procedure consists of forward and backward first-order infinite impulse response filtering the pilot symbols and combining the filter outputs to generate an estimate of the phase noise. We analyze the mean-square-error performance of this pilot-symbol-assisted forward-backward Wiener smoothing filter (FBWSF) procedure and show its optimality under the assumption that the phase noise is modeled as a first-order autoregressive moving average process. We then apply the FBWSF as a code-aided phase noise compensation technique in an iterative receiver framework. The iterative receiver presented here first estimates phase noise roughly by using the pilot-symbol-assisted FBWSF; then, it refines the estimates with the code-aided version of FBWSF. The resulting receiver achieves excellent error performance at a feasible level of computational complexity.