A unified approach to the fast computation of all discrete trigonometric transforms

A new approach is developed for the fast computation and VLSI implementation of all discrete trigonometric transforms in the least number of operations and pipelining stages. This is achieved in terms of the fast algorithm (FRFT) for the real discrete Fourier transform. FRFT is based upon Givens' plane rotation as the basic unit of computation in contrast to FFT's which are based upon the complex butterfly.