Remarks on the convolution algorithm of Agarwal and Cooley

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Remarks on the convolution algorithm of Agarwal and Cooley

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The algorithm of the title naturally computes cyclic convolutions. We discuss some ways in which it can be applied to noncyclic convolutions as required for digital filters; we can sometimes obtain a significant improvement in efficiency over the well-known ‘overlap-add’ method.

Inspec keywords: transforms; digital filters; signal processing

Other keywords: convolution algorithm; cyclic convolutions; digital filters; overlap add method; noncyclic convolutions

Subjects: Integral transforms; Digital filters; Information theory; Digital filters; Signal processing and detection; Integral transforms

References

    1. 1)
      • J.H. McClelland , C.M. Rader . (1970) , Number theory in digital signal processing.
    2. 2)
      • R.C Agarwal , J.W. Cooley . New algorithms for digital convolution. IEEE Trans. , 392 - 410
    3. 3)
      • S. Winograd . On computing the discrete Fourier transform. Math. Comput , 175 - 199
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