Fast Convolution Algorithms
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The main objective of this chapter is to focus attention on fast algorithms for the summation of lagged products. Such problems are very common in physics and are usually related to the computation of digital filtering processes, convolutions, and correlations. Correlations differ from convolutions only by virtue of a simple inversion of one of the input sequences. Thus, although the developments in this chapter refer to convolutions, they apply equally well to correlations.
KeywordsDigital Filter Chinese Remainder Theorem Cyclotomic Polynomial Fast Fourier Transform Method Circular Convolution
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