High-performance quantization for spectral super-resolution

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We show that the method of distributed noise-shaping beta-quantization offers superior performance for the problem of spectral super-resolution with quantization whenever there is redundancy in the number of measurements. More precisely, if the (integer) oversampling ratio λ is such that lfloorM/λ rfloor - 1 ≥ 4/Δ, where M denotes the number of Fourier measurements and is the minimum separation distance associated with the atomic measure to be resolved, then for any number K ≥ 2 of quantization levels available for the real and imaginary parts of the measurements, our quantization method guarantees reconstruction accuracy of order O(λ3/2 K-λ/2), up to constants which are independent of K and λ. In contrast, memoryless scalar quantization offers a guarantee of order O(K-1) only.

Original languageEnglish (US)
Title of host publication2019 13th International Conference on Sampling Theory and Applications, SampTA 2019
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728137414
DOIs
StatePublished - Jul 2019
Event13th International Conference on Sampling Theory and Applications, SampTA 2019 - Bordeaux, France
Duration: Jul 8 2019Jul 12 2019

Publication series

Name2019 13th International Conference on Sampling Theory and Applications, SampTA 2019

Conference

Conference13th International Conference on Sampling Theory and Applications, SampTA 2019
CountryFrance
CityBordeaux
Period7/8/197/12/19

ASJC Scopus subject areas

  • Statistics and Probability
  • Signal Processing
  • Analysis
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

Fingerprint Dive into the research topics of 'High-performance quantization for spectral super-resolution'. Together they form a unique fingerprint.

  • Cite this

    Güntürk, C. S., & Li, W. (2019). High-performance quantization for spectral super-resolution. In 2019 13th International Conference on Sampling Theory and Applications, SampTA 2019 [9030941] (2019 13th International Conference on Sampling Theory and Applications, SampTA 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SampTA45681.2019.9030941