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N-Point P-Parallel Radix-2^K Feed forward FFT Architecture

R. David jerry Steve, M. Mohamed rabik

The appearance of radix-2^2 was a milestone in the design of pipelined FFT hardware architectures. Later, radix-2^2 was extended to radix-2^k. However, radix-2^k was only proposed for singlepath delay feedback (SDF) architectures, but not for feed-forward ones which is also as called multi-path delay commutator (MDC). This paper presents the radix-2^k feedforward (MDC) FFT architectures. In feedforward architectures, radix-2^k can be used for any number of parallel samples which is a power of two. Furthermore, both decimation in frequency (DIF) and decimation in time (DIT) decompositions can be used. In addition to this, the designs can achieve very high throughputs, which make them suitable for the most demanding applications. Indeed, the proposed radix-2^k feed-forward architectures require fewer hardware resources than parallel feedback ones, also called multi-path delay feedback (MDF), when several samples in parallel must be processed. As a result, the proposed radix-2^k feedforward architectures not only offer an attractive solution for current applications, but also open up a new research line on feedforward structures.