Complex digital signal processing using quadratic residue number systems

Complex digital signal processing using quadratic residue number systems

Reverse Conversion for Residue Number System Realizations of Digital Signal Processing Hardware

One of the fundamental problems with residue arithmetic is the difficulty associated with residue-to-binary conversion. In recently published papers, a hardware implementation of the Mixed-Radix system was proposed for the translation of residue coded outputs into binary number for a digital filter realization. These methods are presented as a block diagram or data flow chart and require integr...

Embedded Digital Signal Processing Systems

With continuing progress in VLSI and ASIC technologies, digital signal processing (DSP) algorithms have continued to find great use in increasingly wide application areas. DSP has gained popularity also in embedded systems although these systems set challenging constraints for implementations. Embedded systems contain limited resources, thus embedded DSP systems must balance tradeoffs between t...

Power Reduction of Digital Signal Processing Systems using Subthreshold Operation

Over the past couple decades, the capabilities of battery-powered electronics has expanded dramatically. What started out as large bulky 2-way radios, wristwatches, and simple pacemakers, has evolved into pocket sized smart-phones, digital cameras, person digital assistants, and implantable biomedical chips that can restore hearing and prevent heart attacks. With this increase in complexity com...

High Speed Convolution Using Residue Number Systems

This thesis investigates architectures for high speed signal convolution using residue number system techniques. The focus is on VLSI implementations, a choice that gives two parameters by which judge different architectures: speed and hardware size. Although the focus is on the standard residue number system, the same concepts can be directly applied to quadratic residue number system architec...