Non-linear coding for improved performance in compressive sensing

机译：非线性编码可提高压缩感测的性能

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摘要

We propose a system based on the combination of compressive sensing and non-linear processing that shows excellent robustness against noise. The key idea is the use of nonlinear mappings that act as analog joint source-channel encoders, processing the compressive sensing measurements proceeding from an analog source and producing continuous amplitude samples that are transmitted directly through the noisy channel. As we will show in our simulation results, the proposed framework is readily applicable in practical systems such as imaging, and clearly outperforms systems based on stand-alone compressive sensing.

机译：我们提出了一种基于压缩感测和非线性处理相结合的系统，该系统具有出色的抗噪声能力。关键思想是使用非线性映射作为模拟联合源通道编码器，处理从模拟源开始的压缩感测测量值，并生成直接通过噪声通道传输的连续幅度样本。正如我们将在模拟结果中显示的那样，所提出的框架很容易应用于实际系统，例如成像，并且明显优于基于独立压缩感测的系统。

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《Information Sciences and Systems, 2009. CISS 2009》|2009年|18-22|共5页
会议地点 Baltimore MD(US);Baltimore MD(US);Baltimore MD(US)
作者
Yichuan Hu; Zhongmin Wang; Garcia-Frias J.; Arce G.R.;
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Dept. of Electr. Comput. Eng., Univ. of Delaware, Newark, DE;

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combined source-channel coding; analog joint source-channel encoders; compressive sensing; compressive sensing measurements; noisy channel; nonlinear coding; nonlinear mapping;

机译：组合信源信道编码;模拟联合信源信道编码器;压缩感知;压缩感知测量;噪声信道;非线性编码;非线性映射;

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1. From Compressed Sensing to Compressed Bit-Streams: Practical Encoders, Tractable Decoders [J] . Rayan Saab, Rongrong Wang, Özgür Yılmaz IEEE Transactions on Information Theory . 2018,第9期

机译：从压缩传感到压缩比特流：实用编码器，可伸缩解码器
2. Compressive Sensing Measurement Matrix Generator Based on Improved SC-Array LDPC Code [J] . Yuan Haiying, Song Hongying, Sun Xun, Circuits, systems, and signal processing . 2016,第3期

机译：基于改进的SC阵列LDPC码的压缩感知测量矩阵生成器
3. Compressive sensing measurement matrix construction based on improved size compatible array LDPC code [J] . Yuan Haiying, Song Hongying, Sun Xun, Image Processing, IET . 2015,第11期

机译：基于改进尺寸兼容数组LDPC码的压缩感知测量矩阵构造
4. Non-Linear Coding for Improved Performance in Compressive Sensing [C] . Yichuan Hu, Zhongmin Wang, Javier Garcia-Frias, Annual Conference on Information Sciences and Systems . 2009

机译：用于压缩传感的改进性能的非线性编码
5. Analog non-linear coding for improved performance in compressed sensing. [D] . Hu, Yichuan. 2009

机译：模拟非线性编码可提高压缩感测的性能。
6. Block Sparse Compressed Sensing of Electroencephalogram (EEG) Signals by Exploiting Linear and Non-Linear Dependencies [O] . Hesham Mahrous, Rabab Ward 2016

机译：通过利用线性和非线性相关性来块化脑电图（EEG）信号的稀疏压缩感知
7. An Improved Compressive Sensing Reconstruction Algorithm Using Linear/Non-Linear Mapping [O] . Xinyu Zhang, Jiangtao Wen, Yuxing Han, 2015

机译：一种改进的线性/非线性映射压缩感知重建算法
8. Distributed Compressive Sensing vs. Dynamic Compressive Sensing: Improving the Compressive Line Sensing Imaging System through Their Integration. [R] . Ouyang, B., Hou, W., Caimi, F. M., 2015

机译：分布式压缩感知与动态压缩感知：通过集成改进压缩线感应成像系统。

Non-linear coding for improved performance in compressive sensing

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