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        Increasing the quality of reconstructed signal in compressive sensing utilizing Kronecker technique

        H. Zanddizari,S. Rajan,Houman Zarrabi 대한의용생체공학회 2018 Biomedical Engineering Letters (BMEL) Vol.8 No.2

        Quality of reconstruction of signals sampled using compressive sensing (CS) algorithm depends on the compression factorand the length of the measurement. A simple method to pre-process data before reconstruction of compressively sampledsignals using Kronecker technique that improves the quality of recovery is proposed. This technique reduces the mutualcoherence between the projection matrix and the sparsifying basis, leading to improved reconstruction of the compressedsignal. This pre-processing method changes the dimension of the sensing matrix via the Kronecker product and sparsitybasis accordingly. A theoretical proof for decrease in mutual coherence using the proposed technique is also presented. Thedecrease of mutual coherence has been tested with different projection matrices and the proposed recovery technique hasbeen tested on an ECG signal from MIT Arrhythmia database. Traditional CS recovery algorithms has been applied withand without the proposed technique on the ECG signal to demonstrate increase in quality of reconstruction technique usingthe new recovery technique. In order to reduce the computational burden for devices with limited capabilities, sensing iscarried out with limited samples to obtain a measurement vector. As recovery is generally outsourced, limitations due tocomputations do not exist and recovery can be done using multiple measurement vectors, thereby increasing the dimensionof the projection matrix via the Kronecker product. The proposed technique can be used with any CS recovery algorithmand be regarded as simple pre-processing technique during reconstruction process.

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