Range-Spread Targets Detection in Unknown Doppler Shift via Semi-Definite Programming

TL;DR

This paper proposes semi-definite programming-based detection schemes for Doppler-shifted range-spread targets in Gaussian noise, achieving near-optimal performance with reduced computational complexity.

Contribution

It introduces a novel detection method using semi-definite programming for unknown Doppler shifts, with a simplified version for lower complexity.

Findings

Detectors maintain constant false alarm rate.

Performance close to conventional detectors with known Doppler.

Reduced computational complexity of the proposed methods.

Abstract

Based on the technique of generalized likelihood ratio test, we address detection schemes for Doppler-shifted range-spread targets in Gaussian noise. First, a detection scheme is derived by solving the maximization associated with the estimation of unknown Doppler frequency with semi-definite programming. To lower the computational complexity of the detector, we then consider a simplification of the detector by adopting maximization over a relaxed space. Both of the proposed detectors are shown to have constant false alarm rate via numerical or theoretical analysis. The detection performance of the proposed detector based on the semi-definite programming is shown to be almost the same as that of the conventional detector designed for known Doppler frequency.