Freedom through Imperfection: Exploiting the flexibility offered by redundancy in signal processing

TL;DR

This thesis explores how redundancy in signal processing can be exploited to enhance analog-to-digital conversion stability and improve compressive sensing techniques, offering new methods for more robust signal representation.

Contribution

It introduces novel stable quantization methods and advances in compressive sensing, leveraging redundancy for improved performance.

Findings

Developed stable quantization algorithms for ADCs

Enhanced compressive sensing recovery techniques

Demonstrated robustness of methods through theoretical analysis

Abstract

This thesis consists of four chapters. The first two chapters pertain to the design of stable quantization methods for analog to digital conversion, while the third and fourth chapters concern problems related to compressive sensing.