VHSIC DESIGN FOR COMPUTING THE DISCRETE FOURIER TRANSFORM USING RESIDUE FERMAT NUMBER SYSTEM

THE DEVELOPMENT OF VHSIC DEVICES PRESENTS MANY NEW AND CHALLENGING AREAS OF RESEARCH. BY USING THE RESIDUE FERMAT NUMBER SYSTEM TO IMPLEMENT A VHSIC DISCRETE FOURIER TRANSORM (DFT) IN CMOS CHIP, REQUIRED ONLY A SMALL NUMBER OF MULTIPLICATIONS. THE TRADITIONAL DFT DESIGN REQUIRED VERY LARGE NUMBER OF MULTIPLICATIONS, VERY COMPLICATED CIRCUIT, AND LARGE AREAS. THE PROPOSED NEW DESIGN DFT WOULD -RESULT IN A VERY COMPACT VLSI CHIP, VERY HIGH PERFORMANCE, AND VERY LOW POWER CONSUMPTION. THE OBJECTIVE OF THIS PROPOSAL IS TO DESIGN, DEVELOP, AND IMPLEMENT A STATE-OF-THE-ART DFT CHIP FOR ANY APPLICATIONS RELATED TO DIGITAL SIGNAL PROCESSING. THE FIRST PHASE OF THIS PROPOSAL, ATTENTION IS FOCUSED ON THE THEORETICAL BACKGROUND OF USING RESIDUE FERMAT NUMBER SYSTEM TO IMPLEMENT A DFT, AND THEN FOCUSED ON THE POSSIBLE CONFIGURATION OF LOGIC STRUCTURES. THE PHYSICAL IMPLEMENTATION OF THE DFT WILL BE A 16-POINT DFT.