Efficient one-dimensional systolic array realization of the discrete Fourier transform

A one-dimensional systolic array realizing the discrete Fourier transform (DFT) of nonstop input sequences is presented. Two arrays having different output schemes, i.e. pipelined and bus-oriented output paths, are introduced. Both arrays require N cells and take N clock cycles to produce a complete N-point DFT. The latency time for the pipeline scheme is twice that of the bus-oriented scheme. For both arrays, a continuous flow of input vectors is allowed and no idle period is required between successive vectors. The array coefficients are static and thus stored-product ROMs (read-only memories) can be used in place of multipliers to limit cost as well as eliminate errors due to coefficient quantization.<>