Maximizing minimum Euclidean distance of spectrally constrained partial response CPM

摘要

Optimized phase pulses, which maximizes the minimum Euclidean distance of spectrally constrained partial response CPM with different pulse lengths and different alphabet sizes, are numerically found. The channel is specified by a narrow spectrum mask, which puts hard requirements on both the width of the spectral main lobe and the size of the spectral side lobes, and AWGN. The phase pulse is parameterized by equidistant sample points, which are connected by cubic spline interpolation and the modulation index is also treated as a parameter. A gain of up to 0.9 dB is obtained compared to GMSK. In addition, some of the new phase pulses provide an advantage for reduced state sequence detection.