Abstract: Since the invention of the radix-2 structure for the computation of the discrete Fourier transform (DFT) by Cooley and Tukey in 1965, the DFT has been widely used for the frequency-domain analysis and design of signals and systems in communications, digital signal processing, and in other areas of science and engineering. While the Cooley-Tukey structure is simpler, regular, and efficient, it has some drawbacks such as more complex multiplications than required by higher-radix structures, and the overhead operations of bit-reversal and data-swapping. The present invention provides a large family of radix-2 structures for the computation of the DFT of a discrete signal of N samples. A member of this set of structures is characterized by two parameters, u and v, where u (u=2.sup.r, r=1,2, . . . , (log.sub.