Quantization of Bandlimited Functions Using Random Samples

MCML Authors

Felix Krahmer

Prof. Dr.

Principal Investigator

Optimization & Data Analysis

Abstract

We investigate the compatibility of distributed noise-shaping quantization with random samples of bandlimited functions. Let f be a real-valued π-bandlimited function. Suppose R > 1 is a real number, and assume that {xi}mi=1 is a sequence of i.i.d random variables uniformly distributed on [−R~,R~], where R~>R is appropriately chosen. We show that on using a distributed noise-shaping quantizer to quantize the values of f at {xi}mi=1, a function f ♯ can be reconstructed from these quantized values such that ∥∥f−f♯∥∥L2[−R,R] decays with high probability as m and R~ increase.

inproceedings

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SampTA 2023

14th International Conference on Sampling Theory and Applications. Yale, CT, USA, Jul 10-14, 2023.

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Authors

R. Joy • F. Krahmer • A. Lupoli • R. Ramakrishan

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Links

DOI

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Research Area

 A2 | Mathematical Foundations