Distributed noise-shaping quantization

II. classical frames

Evan Chou, C. Sinan Gunturk

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This chapter constitutes the second part in a series of papers on distributed noise-shaping quantization. In the first part, the main concept of distributed noise shaping was introduced and the performance of distributed beta encoding coupled with reconstruction via beta duals was analyzed for random frames (Chou and Güntürk, Constr Approx 44(1):1–22, 2016). In this second part, the performance of the same method is analyzed for several classical examples of deterministic frames. Particular consideration is given to Fourier frames and frames used in analog-to-digital conversion. It is shown in all these examples that entropic rate-distortion performance is achievable.

Original languageEnglish (US)
Title of host publicationApplied and Numerical Harmonic Analysis
PublisherSpringer International Publishing
Pages179-198
Number of pages20
Edition9783319547107
DOIs
StatePublished - Jan 1 2017

Publication series

NameApplied and Numerical Harmonic Analysis
Number9783319547107
ISSN (Print)2296-5009
ISSN (Electronic)2296-5017

Fingerprint

Analog to digital conversion
Quantization
Rate-distortion
Encoding
Analogue
Series

Keywords

  • A/D conversion
  • Beta duals
  • Beta encoding
  • Finite frames
  • Noise shaping
  • Quantization

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Chou, E., & Gunturk, C. S. (2017). Distributed noise-shaping quantization: II. classical frames. In Applied and Numerical Harmonic Analysis (9783319547107 ed., pp. 179-198). (Applied and Numerical Harmonic Analysis; No. 9783319547107). Springer International Publishing. https://doi.org/10.1007/978-3-319-54711-4_8

Distributed noise-shaping quantization : II. classical frames. / Chou, Evan; Gunturk, C. Sinan.

Applied and Numerical Harmonic Analysis. 9783319547107. ed. Springer International Publishing, 2017. p. 179-198 (Applied and Numerical Harmonic Analysis; No. 9783319547107).

Research output: Chapter in Book/Report/Conference proceedingChapter

Chou, E & Gunturk, CS 2017, Distributed noise-shaping quantization: II. classical frames. in Applied and Numerical Harmonic Analysis. 9783319547107 edn, Applied and Numerical Harmonic Analysis, no. 9783319547107, Springer International Publishing, pp. 179-198. https://doi.org/10.1007/978-3-319-54711-4_8
Chou E, Gunturk CS. Distributed noise-shaping quantization: II. classical frames. In Applied and Numerical Harmonic Analysis. 9783319547107 ed. Springer International Publishing. 2017. p. 179-198. (Applied and Numerical Harmonic Analysis; 9783319547107). https://doi.org/10.1007/978-3-319-54711-4_8
Chou, Evan ; Gunturk, C. Sinan. / Distributed noise-shaping quantization : II. classical frames. Applied and Numerical Harmonic Analysis. 9783319547107. ed. Springer International Publishing, 2017. pp. 179-198 (Applied and Numerical Harmonic Analysis; 9783319547107).
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