Dictionary for Sparse Representation of Chirp Echo in Broadband Radar

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.