Dictionary for Sparse Representation of Chirp Echo in Broadband Radar

Lei GAO ATR Lab,NUDT;Changsha,Hunan,410072, P.R.China. Abstract: A new dictionary D for sparse representation of chirp echo in broadband radar is put forward in this paper. Different from chirplet decomposition which decomposes echo in time-frequency plane, the dictionary D 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. With strict mathematical deduction, the sparsity of echo in dictionary D is proved and the dictionary is orthogonal. As to the property of dictionary for application, its construction is simple, the necessary parameters for it can be obtained conveniently and it is convenient for using. Furthermore, the object of application can be extended to the echo of multi-component chirps with single freedom degree.