Sparse fast Fourier transform (SFFT) achieves spectrum sensing with sublinear computational and sample complexity, which has raised widely attention in the signal processing community recently. However, SFFT ignores the structure characteristics of spectrum. In this paper, we optimize the SFFT algorithm for band-limited spectrum sensing. The optimized permutation theory is given and proven first. Then, based on the optimized permutation theory, the optimized sparse Fourier transform for band-limited signal (OB-SFT) is designed. OB-SFT is a universal algorithm with deterministic parameters, and the computational and sample complexity are less than SFFT. Finally, numerical simulations verify the effectiveness and advantages of OB-SFT.


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    Title :

    The Optimized Sparse Fourier Transform for Band-Limited Signal


    Contributors:
    Wang, Longhui (author) / Wang, Qiexiang (author) / Wang, Jian (author) / Zhang, Xudong (author)


    Publication date :

    2022-09-01


    Size :

    468810 byte





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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