Although experiments have proved that the unrestricted 12$\\ell _{1-2}$‐minimization model can recover the original sparse signal, the theoretical proof has not been established yet. This paper mainly proves theoretically that the unrestricted 12$\\ell _{1-2}$‐minimization ...
The nuclear idea is to downsample the input signal at the beginning;then, subsequent processing operates under downsampled signals, where signallengths are proportional to O(K). Downsampling, however, possibly leads to"aliasing." By the shift property of DFT, we recast the aliasing problem as...
For any k sparse signal 翻译结果2复制译文编辑译文朗读译文返回顶部 for any of the sparse signal K; 翻译结果3复制译文编辑译文朗读译文返回顶部 For any k-sparse signals 翻译结果4复制译文编辑译文朗读译文返回顶部 For any of the sparse signal K ...
The nuclear idea is to downsample the input signal at the beginning; then, subsequent processing operates under downsampled signals, where signal lengths are proportional to O(K). Downsampling, however, possibly leads to "aliasing." By the shift property of DFT, we recast the aliasing problem ...
K-sparse real-valued non-negative signal having an N-point DFT X k . Given any 2K+1 values of X k {X 0 , X ±k1 , X ±k2 . . . X ±kK }, 0 < k i < N/2 (17) we can recover x n by solving a linear system of in- equalities, provided N < 4K. N must be prime...
Signal Process. 2018, 292, 38-48. [CrossRef] Cui,Guosheng,Xuelong,... - 《Neurocomputing》 被引量: 5发表: 2018年 Nonnegative Matrix Factorization on Orthogonal Subspace with Smoothed L0 Norm Constrained Summary: It is known that the sparseness of the factor matrices by Nonnegative Matrix ...
Due to the length limitation of this paper, we could not present a complete proof of validity for our proposed sampling scheme here, instead, we will give a brief geometric explanation with illustration. Consider an N dimensional signal space RN, a K-sparse 2 signal x in this space would ...
A multilinear orthogonal matching pursuit (MOMP) algorithm is also developed for calculating sparse representation of tensor signal. We evaluate the performance of K-CPD for image denoising, and the results demonstrate that the proposed method surpasses the conventional methods. 展开 ...
The proposed algorithm is suitable for a relaxed case when more than one source signal achieves significant value at any time instant. More precisely, in this paper we propose a new algorithm which is suitable for the case when the (m-1) source signals are simultaneously nonzero for ...
Although the concept of receiving MR signal using multiple coils simultaneously has been known for over two decades, the technique has only recently become clinically available as a result of the development of several effective parallel imaging reconstruction algorithms. Despite the success of these alg...