Matrix-valued methods and apparatus for signal processing
A matrix, point matrix technology, applied in the field of matrix-valued fast Fourier transform
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[0114] In the following description, for purposes of explanation, specific details are set forth in order to provide a detailed understanding of the present invention. It must be emphasized, however, that the present invention may be practiced without these specific details. In some instances, some algorithms and devices are described in functional block diagram form in order not to obscure the understanding of the present invention.
[0115] 1 Matrix-valued discrete Fourier transform method
[0116] The present disclosure begins with a matrix-valued discrete Fourier transform method (referred to below as matrix DFT). First, consider a set of N samples {x(n), n=0, 1, 2, ..., N-1} of a discrete-time signal, where N is a predetermined integer. This set of samples can be represented as a vector x of the input data:
[0117] x = x ( 0 ...
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