Quantization optimized with respect to the Haar basis
Signal Processing
2021-01-12 v1 Information Theory
math.IT
Abstract
We propose a method of data quantization of finite discrete-time signals which optimizes the error estimate of low frequency Haar coefficients. We also discuss the error/noise bounds of this quantization in the Fourier space. Our result shows one can quantize any discrete-time analog signal with high precision at low frequencies. Our method is deterministic, and it employs no statistical arguments, nor any probabilistic assumptions.
Cite
@article{arxiv.2101.03304,
title = {Quantization optimized with respect to the Haar basis},
author = {Shu Nakamura},
journal= {arXiv preprint arXiv:2101.03304},
year = {2021}
}