An Optimization Method of Deterministic Measurement Matrix in Distributed Compressed Video Sensing

Abstract

Abstract-This electronic Compressed Sensing (CS) is a new theoretical framework for information acquisition and processing, which provides a new way for signal sampling. In order to solve the problem of the constraints of traditional Nyquist sampling theorem, CS based on the sparsity of signal, randomness of the measurement matrix and nonlinear optimization algorithm can achieve the compression and reconstruction of the signal. In the process of compressive sensing, the measurement matrix plays an important role in signal sampling and reconstruction. This construction is based on the orthogonal symmetric Toeplitz matrix in this paper. The pseudorandom feature of the deterministic measurement matrix is improved by pseudorandom loop construction method to ensure the random performance of the measurement matrix and optimize the compression measurement effect.