Phase-only filters that best approximate the classical matched filters' outputs

Much research effort has been directed to designing phase-only and binary phase-only filters that maximize the signal-to-noise ratio (i.e., the noise tolerance) or the peak-to-correlation energy (i.e., the correlation peak sharpness). In this paper, we propose a filter design algorithm for phase-only filters that produce correlation outputs that approximate classical matched filter outputs in a minimum mean squared error sense. Simulation results are presented to illustrate the use of the design algorithm.