The Compression Sensing Reconstruction for the 1-d Signal Based on Non-local 1-d Convolution Applied to LISTA

Authors

  • Juan Xie Nanchang Vocational University, School of Information Technology, Nanchang, China
  • Gan Wang Huanggang Education Valley Investment Holding Co., Ltd
  • Yakun Wang School of Information Technology, Nanchang Vocational University, Software Engineering Department
  • Hui Zhang Nanchang Vocational University, School of Information Technology, Nanchang, China
  • Qiang Zhang School of Information Technology, Nanchang Vocational University
  • Jian Lan Nanchang Vocational University Library, Nanchang Vocational University
  • Caihong Cao Nanchang Vocational University, School of Information Technology, Nanchang, China, School of Control Science and Engineering, Dalian University of Technology
  • Xing Hu Nanchang Vocational University, School of Information Technology, Nanchang, China, School of Control Science and Engineering, Dalian University of Technology

Keywords:

Compression sensing reconstruction;, 1-d signal, LISTA, non-local 1-d convolution

Abstract

The compression sensing reconstruction for the 1-d signal can contribute to the communication of autonomous driving, intelligent robots, and fire exploration robots. This paper designs a compression sensing reconstruction method for the 1-d signal. To reconstruct 1-d signal, the deep learning method LISTA is used. Then, the linear convolution layer in LISTA is improved by non-local 1-d convolution. The convolution regions of improved non-local 1-d convolution contain: 1) the convolution before; 2) the current convolution; and 3) the convolution after. Experimental results show the reconstructed results of LISTA is better than those of ISTA and the reconstructed results of LISTA-n1d is better than those of LISTA and the reconstruction time of ISTA, LISTA, and LISTA-n1d are 0.1s, 0.12s, and 0.17s, respectively.

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Published

2026-06-30

Issue

Vol. 96 No. 1 (2026): Volume 96, Issue 1

Section

Original Articles

How to Cite

Juan Xie, Gan Wang, Yakun Wang, Hui Zhang, Qiang Zhang, Jian Lan, Caihong Cao, and Xing Hu , trans. 2026. “The Compression Sensing Reconstruction for the 1-D Signal Based on Non-Local 1-D Convolution Applied to LISTA”. Human Biology 96 (1): 1244-49. https://www.thehumbiol.org/Home/article/view/476.

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