【摘 要】
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One-bit compressed sensing (CS) technology reconstructs the sparse signal when the available measurements are reduced to only their sign-bit.It is well known that CS reconstruction should know the measurement matrix exactly to obtain a correct result.Howe
【机 构】
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Key Laboratory of Universal Wireless Communication, Beijing University of Posts and Telecommunicatio
论文部分内容阅读
One-bit compressed sensing (CS) technology reconstructs the sparse signal when the available measurements are reduced to only their sign-bit.It is well known that CS reconstruction should know the measurement matrix exactly to obtain a correct result.However,the measurement matrix is probably perturbed in many practical scenarios.An iterative algorithm called perturbed binary iterative hard thresholding (PBIHT) is proposed to reconstruct the sparse signal from the binary measurements (sign measurements) where the measurement matrix experiences a general perturbation.The proposed algorithm can reconstruct the original data without any prior knowledge about the perturbation.Specifically,using the ideas of the gradient descent,PBIHT iteratively estimates signal and perturbation until the estimation converges.Simulation results demonstrate that,under certain conditions,PBIHT improves the performance of signal reconstruction in the perturbation scenario.
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