Hybrid architecture for multiple transforms for signal processing applications

Abstract

A hybrid architecture for transforms such as N-point Discrete Fourier Transform (DFT), Discrete Cosine Transform (DCT), Discrete Sine Transform (DST) and Discrete Wavelet Transform (DWT) has been proposed and implemented using triple matrix product method. There is limited work reported on efficient single architecture that can perform multiple transforms simultaneously or serially depending on the application requirement. The Hybrid architecture implemented, can compute various transforms efficiently. A controller is designed which can perform different transforms using the hybrid architecture based on the input provided. The implemented systolic array can be used for computing the diagonal elements of triple-matrix product. The designed architecture produces the output of transform sequence in order, which avoids reordering at output. The implemented architecture can be used to handle large sized transforms by repeatedly using fixed size architecture for a large number of points without increasing the number of Processing Elements (PEs). The proposed architecture has been validated with a watermarking algorithm that uses DCT and DWT transforms and its performance analyzed. The proposed hybrid architecture is implemented on Spartan-7 xc7s100fgga676-1. The simulation results are given and analyzed against standalone architecture.