Continuous Phase Modulation of Phase Coded Transmit Waveforms using Multi-Tone Sinusoidal Frequency Modulation

TL;DR

This paper introduces a Continuous Phase Modulation technique using Multi-Tone Sinusoidal Frequency Modulation to reduce spectral leakage in Phase Coded waveforms, enhancing their spectral efficiency while maintaining favorable autocorrelation properties.

Contribution

It presents a novel MTSFM-CPM model that smooths phase transitions in PC waveforms, improving spectral compactness without significantly degrading autocorrelation features.

Findings

Spectral leakage is reduced using MTSFM-CPM.

Adjustable parameters optimize autocorrelation and spectral properties.

Waveforms maintain spectral compactness with improved phase smoothness.

Abstract

Phase Coded (PC) waveforms possess desirable Auto-Correlation Function (ACF) properties for use in radar and sonar systems. However, their spectra possess high spectral leakage due to the abrupt phase transitions between the chips in the waveform. This paper describes a method of Continuous Phase Modulation (CPM) to reduce a PC waveform's spectral leakage using the Multi-Tone Sinusoidal Frequency Modulation (MTSFM) model. The MTSFM-CPM model represents the PC waveform's instantaneous phase as a finite Fourier series. This representation smooths the abrupt phase transitions between chips resulting in a spectrally compact waveform. This smoothing of the PC waveform's instantaneous phase introduces perturbations to the waveform's ACF mainlobe and sidelobe structure. Adjusting the MTSFM-CPM waveform's parameters refines its ACF mainlobe and sidelobe structure while also preserving its compact spectral shape.