Exact recovery of higher order moments

L. Cheded

doi:10.1109/18.661534

Exact recovery of higher order moments

L. Cheded^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

This correspondence addresses the problem of exact recovery of higher order moments of unquantized signals from those of their quantized counterparts, in the context of nonsubtractive dithered quantization. It introduces a new statistical characterization of the dithered quantizer in the form of a pth-order moment-sense input/ouput function h_p (x). A class of signals for which the solution to the exact moment recovery problem is guaranteed is defined, and some of its key properties are stated and proved. Two approaches to this problem are discussed and the practical gains accruing from the 1-bit implementation of the second approach are highlighted. Finally, a fruitful extension of this work to the exact recovery of cumulants is briefly pointed out.

Original language	English
Pages (from-to)	851-858
Number of pages	8
Journal	IEEE Transactions on Information Theory
Volume	44
Issue number	2
DOIs	https://doi.org/10.1109/18.661534
State	Published - 1998

Bibliographical note

Funding Information:
Manuscript received December 7, 1995; revised June 1, 1997. This work was supported by the King Fahd University of Petroleum and Minerals. The author is with the Department of Systems Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia. Publisher Item Identifier S 0018-9448(98)01306-6.

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

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10.1109/18.661534

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note = "Funding Information: Manuscript received December 7, 1995; revised June 1, 1997. This work was supported by the King Fahd University of Petroleum and Minerals. The author is with the Department of Systems Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia. Publisher Item Identifier S 0018-9448(98)01306-6.",

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Exact recovery of higher order moments

Abstract

Bibliographical note

ASJC Scopus subject areas

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