Abstract: A pipelined Fast Fourier Transform (FFT) processor is described for proceng continuous sets of N samples in a highly efficient manner. Within a single set of N inputs, the samples arrive in pairs (sample 0, and 1, 2 and 3, 4 and 5, etc.). This input sequence can be obtained from a sequential stream of inputs (sample 0 followed by smples 1, 2, 3, 4, etc.) by delaying the even numbered sample by one time unit. Alternately, the device could be made to operate on sequential samples within a set of N samples by internal pipelining of the arithmetic units. The device achieves high arithmetic unit efficiency while minimizing the memory required by allowing each arithmetic unit in the pipeline, with the exception of the last, to operate on the even or odd numbered samples first, after which it will operate on the remaining samples, which have been appropriately delayed and switched through shift registers and switches.