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首页稀疏自适应迭代阈值压缩采样匹配追踪算法性能优化
稀疏自适应迭代阈值压缩采样匹配追踪算法性能优化
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本文主要探讨了"基于稀疏自适应的迭代阈值压缩采样匹配追踪算法"(Research on Iterative Thresholding Compressive Sampling Matching Pursuit Algorithm Based on Sparsity Adaptive)。在实际应用中,许多信号都具有未知的稀疏特性,即大部分信号成分可以用少数非零元素表示。针对这一特性,研究者深入研究了迭代阈值法和贪婪算法,并在此基础上提出了一种新颖的算法。 该算法的核心在于利用自适应的稀疏性估计,使得重建过程能够根据不同信号的特性进行动态调整。这不仅提高了重构的精度和效率,还增强了对噪声的鲁棒性。特别是在测量值较小的情况下,算法表现出强大的稳定性,确保了在压缩采样过程中的准确重构。这种稀疏自适应性是其独特之处,使得算法在面对复杂信号时具有更高的性能。 文章通过MATLAB模拟实验验证了新算法的优势。与传统的匹配追踪算法相比,它在稳定性和精确性上有着明显的优势,尤其是在处理噪声环境下的信号恢复时,效果更为显著。这些优点表明,该算法有望推动压缩感知技术在实际系统中的广泛应用,如图像处理、信号分析等领域,从而提升数据采集和处理的效率,降低硬件需求,对于大数据时代的信号处理有着重要的理论价值和实践意义。 总结来说,这篇研究论文在稀疏信号处理领域提出了一个创新的算法框架,强调了自适应策略在压缩采样中的关键作用,为提高压缩传感技术在实际应用中的性能提供了新的解决方案。
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Journal of Computational Information Systems 8: 12 (2012) 4835–4842
Available at http://www.Jofcis.com
Research on Iterative Thresholding Compressive Sampling
Matching Pursuit Algorithm Based on Sparsity Adaptive
Guiling SUN
∗
, Yuhan ZHOU, Jie ZUO, Zhihong WANG
College of Information Technical Science, Nankai University, Tianjin 300071, China
Abstract
Focusing on the characteristics of original signal with unknown sparsity in practical application, with
deeply research on the iterative thresholding and greedy algorithms, we propose a novel iterative thre-
sholding compressive sampling matching pursuit algorithm based on sparsity adaptive. It not only
improves the reconstruction accuracy and efficiency with good noise robustness, but also has strong
stability when measurement value is small, which realizes the sparsity adaptive in reconstruction process.
Based on MATLAB simulation experiments, and compared with common matching pursuit algorithms,
it has obvious advantages in stability, precision and noise robustness, which can promote compressive
sensing to be applied in practical system.
Keywords: Compressive Sensing; Iterative Thresholding; Compressive Sampling; Adaptive Sparsity;
Matching Pursuit
1 Introduction
Donoho, Cand´es et al proposed a novel signal processing theory Compressive Sensing (CS) [1]
in 2006, which makes use of signal sparsity or compressible ability to reduce data redundancy
and uses non-related measurement to recover primary signal highly probability by measured value
much less dimension than original, bringing great changes for further development in signal acqui-
sition and processing. Now, CS shows huge application potential in signal and image processing
[2], analog information conversation, geological exploration [3] and other fields.
CS mainly includes signal sparsity representation, measurement matrix design and realization
and optimization of reconstruction algorithm, and among them highly efficient and stable recon-
struction algorithm is the core of CS. Research shows that signal reconstruction problem can be
solved by solving the minimum norm 0 problem, but it’s an NP-hard. In view of this, researchers
proposed a series of methods solving sub-optimal solution such as Matching Pursuit series algo-
rithm, Iterative Thresholding algorithm [4] and Minimum norm 1 algorithm and so on. Involving
backward projection, residual signal orthogonal projecting to Supporting Sets (SS) column space,
speeds up iterative convergence and forms Orthogonal Matching Pursuit (OMP) [5]. Based on
∗
Corresponding author.
Email address: sungl@nankai.edu.cn (Guiling SUN).
1553–9105 / Copyright © 2012 Binary Information Press
June 15, 2012
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