Abstract
In this paper, the method of direction-of-arrival (DOA) estimation for wideband signals based on sparse representation of FRFT domain is proposed by using the excellent convergence of FRFT to LFM signals. This method focuses the wideband signal to the reference frequency using FRFT, establishes the DOA estimation model and the array manifold matrix in the FRFT domain, and reconstructs the spatial spectral function based on the sparse representation of the spatial angles, so as to realize the wideband LFM signal DOA estimations. The method not only is suitable for non-coherent signals but also can process coherent signals directly without any decoherent operations; in addition, the number of signals is not necessarily known a priori. Simulation results show that the proposed method can achieve better estimation performance and higher angular resolution, especially under low signal-to-noise ratio (SNR) condition.
Highlights
Array signal processing has been widely used in many fields as the main means of spatial domain processing
Classical wideband direction-of-arrival (DOA) estimation methods include incoherent signal subspace method (ISSM) [1] and coherent signal subspace method (CSSM) [2–5]. These two methods are based on the frequency domain model of wideband signals and decompose the wideband signals into many narrowband signals with a filter bank or the discrete Fourier transform (DFT)
Where r(t) = [ri(t), r2(t), ⋯, rM(t)]T represents the signal vector received by all elements at time t, s(t) = [s1(t), s2(t), ⋯, sK(t)] represents the data vector received by all elements at time t, n(t) = [n1, (t), n2(t), ⋯, nM(t)]T represents the noise vector received by all elements at time t, A(t) = [a1(t), a2, (t), ⋯, aK(t)]M × K is the array manifold matrix, and ak(t) is the steering vector of the kth wideband LFM signal incident on the array which can be expressed as ak ðtÞ
Summary
Array signal processing has been widely used in many fields as the main means of spatial domain processing. LFM signals can be separated, and their parameters can be estimated It will obtain better performance than other time-frequency analysis methods by combining FRFT transform and array signal processing to achieve DOA estimation of the wideband LFM signals. It does not have cross-interference, and has excellent focus to the LFM signals. The combination of FRFT transform and array signal processing to achieve the wideband LFM signal DOA estimation, can achieve better performance than other time-frequency analysis methods.
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