A novel design for conflict free address generation mechanism is provided for reading data from Block RAM (BRAM) into a Fast Fourier Transform (FFT) module and writing back the processed data back to the BRAM. Also, a novel way of reducing a memory footprint by reducing a twiddle factor table size by taking an advantage of the symmetry property of twiddle factors is presented. Further, additional architecture-specific optimizations are provided, which involve a design of deeply pipelined butterfly modules and the BRAM accesses, parallel butterfly modules for a single FFT block and parallel FFT lane implementation.