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Considerable theoretical advances have been made in the application of Computational Complexity theory (CCT) to some very basic digital signal processing calculations such as the computation of multilinear forms, convolutions, and the Discrete Fourier Transform (DFT). These are particularly useful in digital signal processing where typically, the amount of data is large and, in some cases, must be...
The advent of the fast Fourier transform method has greatly extended our ability to implement Fourier methods on digital computers. A description of the alogorithm and its programming is given here and followed by a theorem relating its operands, the finite sample sequences, to the continuous functions they often are intended to approximate. An analysis of the error due to discrete sampling over finite...
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