• KSII Transactions on Internet and Information Systems
    Monthly Online Journal (eISSN: 1976-7277)

An Efficient Model Based on Smoothed ℓ0 Norm for Sparse Signal Reconstruction

Vol. 13, No. 4, April 29, 2019
10.3837/tiis.2019.04.016, Download Paper (Free):

Abstract

Compressed sensing (CS) is a new theory. With regard to the sparse signal, an exact reconstruction can be obtained with sufficient CS measurements. Nevertheless, in practical applications, the transform coefficients of many signals usually have weak sparsity and suffer from a variety of noise disturbances. What's worse, most existing classical algorithms are not able to effectively solve this issue. So we proposed an efficient algorithm based on smoothed ℓ0 norm for sparse signal reconstruction. The direct ℓ0 norm problem is NP hard, but it is unrealistic to directly solve the ℓ0 norm problem for the reconstruction of the sparse signal. To select a suitable sequence of smoothed function and solve the ℓ0 norm optimization problem effectively, we come up with a generalized approximate function model as the objective function to calculate the original signal. The proposed model preserves sharper edges, which is better than any other existing norm based algorithm. As a result, following this model, extensive simulations show that the proposed algorithm is superior to the similar algorithms used for solving the same problem.


Statistics

Show / Hide Statistics

Statistics (Cumulative Counts from December 1st, 2015)
Multiple requests among the same browser session are counted as one view.
If you mouse over a chart, the values of data points will be shown.


Cite this article

[IEEE Style]
Y. Li, G. Sun, Z. Li and T. Geng, "An Efficient Model Based on Smoothed ℓ0 Norm for Sparse Signal Reconstruction," KSII Transactions on Internet and Information Systems, vol. 13, no. 4, pp. 2028-2041, 2019. DOI: 10.3837/tiis.2019.04.016.

[ACM Style]
Yangyang Li, Guiling Sun, Zhouzhou Li, and Tianyu Geng. 2019. An Efficient Model Based on Smoothed ℓ0 Norm for Sparse Signal Reconstruction. KSII Transactions on Internet and Information Systems, 13, 4, (2019), 2028-2041. DOI: 10.3837/tiis.2019.04.016.

[BibTeX Style]
@article{tiis:22074, title="An Efficient Model Based on Smoothed ℓ0 Norm for Sparse Signal Reconstruction", author="Yangyang Li and Guiling Sun and Zhouzhou Li and Tianyu Geng and ", journal="KSII Transactions on Internet and Information Systems", DOI={10.3837/tiis.2019.04.016}, volume={13}, number={4}, year="2019", month={April}, pages={2028-2041}}