Estimation of Unknown Line Spectrum under Colored Noise via Sparse Reconstruction

Yilin WANG; Shilong MA; Jinjin WANG; Guolong LIANG; Qing LI

doi:10.11999/JEIT171040

Volume 40 Issue 11

Oct. 2018

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Yilin WANG, Shilong MA, Jinjin WANG, Guolong LIANG, Qing LI. Estimation of Unknown Line Spectrum under Colored Noise via Sparse Reconstruction[J]. Journal of Electronics & Information Technology, 2018, 40(11): 2570-2577. doi: 10.11999/JEIT171040

Citation:

Yilin WANG, Shilong MA, Jinjin WANG, Guolong LIANG, Qing LI. Estimation of Unknown Line Spectrum under Colored Noise via Sparse Reconstruction[J]. Journal of Electronics & Information Technology, 2018, 40(11): 2570-2577. doi: 10.11999/JEIT171040

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Estimation of Unknown Line Spectrum under Colored Noise via Sparse Reconstruction

doi: 10.11999/JEIT171040

1.
Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China
2.
College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China

Funds: The National Natural Science Foundation of China (11504064), The Postdoctoral Scientific Research Foundation of Heilongjiang Province (LBH-Q15025), The Science Foundation for the Returned Overseas Scholars of Heilongjiang Province (JJ2016LX0051)

Received Date: 2017-11-03
Rev Recd Date: 2018-09-03

Available Online: 2018-09-07

Publish Date: 2018-11-01

Abstract

Abstract

To solve the problem of the line spectrum estimation under colored noise background, a subband line spectrum estimation method using sparse reconstruction is proposed. Firstly, the input signal is divided into several subbands by a multi-rate cosine modulated filter bank. The subband signal has the flatter power spectrum. The sparse learning via iterative minimization method is utilized on each subband to estimate the line spectrum signal. Then, the results of line spectrum estimation on each subband are processed by frequency domain synthesis filtering and threshold decision. Finally, the line spectrum signal under colored noise background is identified. Theoretical derivation and simulation experiments show that the proposed method has better line spectrum estimation performance under colored noise background. The colored noise background can be removed, and the advantage of high frequency resolution of sparse reconstruction method is retained.
- Line spectrum estimation,
- Colored noise background,
- Sparse reconstruction,
- Subband decomposition

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References(17)

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