Publication / RCBTR
Published Date: 2010/08/23
Published By: Dr.Bahador Makki Abadi
Published At: 18th European Signal Processing Conference
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Published URL: https://ieeexplore.ieee.org/document/7096434

Vahid Abolghasemi, Saideh Ferdowsi, Bahador Makkiabadi, Saeid Sanei

In this paper the problem of Compressive Sensing (CS) is addressed. The focus is on estimating a proper measurement matrix for compressive sampling of signals. The fact that a small mutual coherence between the measurement matrix and the representing matrix is a requirement for achieving a successful CS is now well known. Therefore, designing measurement matrices with smaller coherence is desired. In this paper a gradient descent method is proposed to optimize the measurement matrix. The proposed algorithm is designed to minimize the mutual coherence which is described as absolute off-diagonal elements of the corresponding Gram matrix. The optimization is mainly applied to random Gaussian matrices which is common in CS. An extended approach is also presented for sparse signals with respect to redundant dictionaries. Our experiments yield promising results and show higher reconstruction