Method of and arrangement for calculating the discrete...

Details Method of and arrangement for calculating the discrete... Method of and arrangement for calculating the discrete...

G - Physics

06

F

354/138

G06F 17/14 (2006.01)

Patent

CA 1159570

PHN 9708 26 ABSTRACT: Method of a N-point discrete Fourier transform The original set, consisting of N input data elements {a(k)} k=0,1,2, ...N-1 is converted into two sets of data elements {b1(q)} q=1,2, ...M and {b2(q)} q=1,2, ...M, which each comprise M=(N-1)/2 data elements, each element being a linear combination of two of the iginal input data elements a(k). These sequences are circularly con- volved with the impulse response H1(v)=.alpha. cos Image and h2(v) = j.beta. sin Image , respectively, for generating a set of third data elements y1(p) and a set of fourth data elements y2(p). Herein N is a prime and .alpha., .beta. and g represent constants and it holds that p, v=1,2, ...M, whereas Image . The desired output data elements can be obtained by means of a linear combination of the data ele- ments y1(p), y2(p) and a(0).

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