PURPOSE: A method and apparatus for transmitting a sparse signal, and a method and apparatus for recovering the sparse signal are provided to form a simple structure of hardware by compressing a target signal based on a sparse binary matrix.;CONSTITUTION: An apparatus for recovering a sparse signal receives a measurement signal with a noise signal from a sparse signal transmitting device(S310). The measurement signal is a signal in which the noise signal is added to a target signal which is measured in a binary measurement matrix. The sparse signal recovering apparatus calculates a likelihood probability of the target signal by using posterior probability based on a relation of the target signal and the measurement signal. The sparse signal recovering apparatus performs a mutual update process for updating the posterior probability using the calculated likelihood probability(S320). The sparse signal recovering apparatus recovers the target signal by maximally estimating maximum posterior probability which is output from the mutual update process(S330).;COPYRIGHT KIPO 2013;[Reference numerals] (S310) Receiving a measurement signal having a noise signal from a sparse signal transmitting device; (S320) Performing a mutual update process for updating posterior probability using a calculated likelihood probability after calculating the likelihood probability of a target signal using the posterior probability based on the relation of the target signal and the measurement signal; (S330) Recovering the target signal by estimating maximum posterior probability which is outputted from the mutual update process
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