DeepAI

# Restricted Structural Random Matrix for Compressive Sensing

Compressive sensing (CS) is well-known for its unique functionalities of sensing, compressing, and security (i.e. CS measurements are equally important). However, there is a tradeoff. Improving sensing and compressing efficiency with prior signal information tends to favor particular measurements, thus decrease the security. This work aimed to improve the sensing and compressing efficiency without compromise the security with a novel sampling matrix, named Restricted Structural Random Matrix (RSRM). RSRM unified the advantages of frame-based and block-based sensing together with the global smoothness prior (i.e. low-resolution signals are highly correlated). RSRM acquired compressive measurements with random projection (equally important) of multiple randomly sub-sampled signals, which was restricted to be the low-resolution signals (equal in energy), thereby, its observations are equally important. RSRM was proven to satisfies the Restricted Isometry Property and shows comparable reconstruction performance with recent state-of-the-art compressive sensing and deep learning-based methods.

• 5 publications
• 7 publications
08/17/2020

### One Bit to Rule Them All : Binarizing the Reconstruction in 1-bit Compressive Sensing

This work focuses on the reconstruction of sparse signals from their 1-b...
11/28/2019

### Error Resilient Deep Compressive Sensing

Compressive sensing (CS) is an emerging sampling technology that enables...
01/19/2017

### Block-wise Lensless Compressive Camera

The existing lensless compressive camera (L^2C^2) Huang13ICIP suffers fr...
01/03/2014

### Adaptive-Rate Compressive Sensing Using Side Information

We provide two novel adaptive-rate compressive sensing (CS) strategies f...
07/21/2014

### Multichannel Compressive Sensing MRI Using Noiselet Encoding

The incoherence between measurement and sparsifying transform matrices a...
05/05/2012

### Rakeness in the design of Analog-to-Information Conversion of Sparse and Localized Signals

Design of Random Modulation Pre-Integration systems based on the restric...
03/26/2019

### An Intuitive Derivation of the Coherence Index Relation in Compressive Sensing

The existence and uniqueness conditions are a prerequisite for reliable ...