UG Colloquium
Topic: Unlimited Sampling and Modulo Analog to Digital Converters
Speaker: Ahmad Kaleem
Date: February 27, 2025
Location: BA6183 (seminar room)
Abstract
Analog to Digital Converters (ADC's) are widespread in modern technology and act as the interface between analog signals in the real world and their digital representations in devices. The Shannon sampling theorem underlies the functionality of ADC's and determines the sampling rate required as a function of the signal bandwidth. Finite dynamic range in practical ADC's prevents this theorem from being realized. To deal with these limitations, the concept of Unlimited Sampling has been proposed. Here the modulo operation is applied on the input to obtain a finite dynamic range signal after which samples of this signal are taken and a reconstruction algorithm is used to recover the original samples. My talk will go over the Unlimited Sampling framework including the main theorems on the sufficiency of modulo samples for recovering the input signal and the reconstruction algorithm. Relevant concepts from signal processing will be reviewed during the talk.
