Vol.5 No.1 (February 2015)
Research on Fast Reconstruction of Frequency Hopping Using Compressive Sampling
Limited by the Nyquist sampling theorem, for traditional frequency hopping signals acquisition which needs very high sampling rate and high processing cost, compression sampling theory breaks through the limitation of the Nyquist sampling theorem, and the sampling rate can be significantly reduced. The paper proposes an iteration that takes three continuous atomic bases, which have got the nearest hopping point, as the sparse representation block of this hopping point. This algorithm weakens instantaneous frequency bandwidth caused by the adjacent signal frequency mutation and the modulated data symbol brings frequency deviation effect, and makes it more suitable for the actual frequency hopping signal. The simulation results verify the correction of the effectiveness of the sparse degree of adaptive matching pursuit algorithm, which improves the performance of reconstruction algorithm. Moreover, the paper compares the correction algorithm’s reconstruction probability with the original algorithm under different M value.
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