The Implementation of Fast Radix 2 Transforms on Array Processors

Methods of implementing fast radix 2 transforms on array processors are considered. The complexity of arithmetic and data routing operations is analyzed for the methods given. It is shown that all methods give an O(P) speed-up in the arithmetic operations for a P processor array. However the methods incur an overhead in data organization. Theorems are presented that prove one method to be superior in minimizing this overhead for transforms of length N > P.