Dictionary for Sparse Representation of Chirp Echo in Broadband Radar

TL;DR

This paper introduces a new orthogonal dictionary for sparse representation of broadband radar chirp echoes, transforming distance sparsity into frequency domain sparsity via stretch processing, with proven mathematical properties and broad application potential.

Contribution

The paper proposes a novel, simple, and orthogonal dictionary for sparse radar echo representation, expanding applicability to multi-component chirp echoes with single degree of freedom.

Findings

Dictionary is orthogonal and mathematically proven to represent echo sparsity.

Construction of the dictionary is simple and parameters are easily obtainable.

Applicable to multi-component chirp echoes with single degree of freedom.

Abstract

A new dictionary for sparse representation of chirp echo in broadband radar is put forward in this paper. Different with chirplet decomposition which decomposes echo in time-frequency plane, the dictionary transforms the sparsity of target observed by radar in distance range to the sparsity in frequency domain by stretch processing and the sparse representation of echo is realized. Using strict deduction with mathematics, the sparsity of echo in dictionary is proved and the dictionary is orthogonal. In the application property, the construction of dictionary is simple, the parameters that are needed for dictionary can be obtained conveniently and the dictionary is convenient to use. Furthermore, the object of application can be expanded to the echo of multi-component chirps with single freedom degree.