CPM Training Waveforms With Autocorrelation Sidelobes Close To Zero

TL;DR

This paper introduces a new class of continuous phase modulation (CPM) training waveforms with autocorrelation sidelobes near zero, achieved through differential encoding of Golay pairs, enhancing wireless communication robustness.

Contribution

The paper proposes a novel method for designing CPM training waveforms with near-zero autocorrelation sidelobes using differential encoding of Golay pairs, a first in the field.

Findings

Waveforms exhibit autocorrelation sidelobes close to zero.

Method leverages Golay complementary pairs for waveform construction.

Potential improvements in channel estimation accuracy.

Abstract

Continuous phase modulation (CPM) plays an important role in wireless communications due to its constant envelope signal property and tight spectrum confinement capability. Although CPM has been studied for many years, CPM training waveforms having autocorrelations with zero sidelobes have not been reported before, to the best of our knowledge. Existing works on CPM system design mostly assume that the channel fading coefficients are either perfectly known at the receiver or estimated using random CPM training waveforms. In this work, we propose a novel class of CPM training waveforms displaying autocorrelation sidelobes close to zero. The key idea of our construction is to apply differential encoding to Golay complementary pair having perfect aperiodic autocorrelation sum properties.