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A Novel Approximate Lloyd-Max Quantizer and Its Analysis

Abstract: 

Several distributed real-time signal sensing/monitoring systems require quantization for efficient signal representation. These distributed sensors often have computational and energy limitations. Motivated by this concern, we propose a novel quantization scheme called Approximate Lloyd-Max (ALM) that is nearly-optimal. Assuming a continuous and finite support probability distribution of the source, we show that our ALM quantizer converges to the classical Lloyd-Max quantizer with increasing bitrate. Our ALM quantizer, which is recursive, converges exponentially fast with the number of iteration. We illustrate our results using simulations for the Beta(4,2) distribution on the source.

(Full paper available at https://ieeexplore.ieee.org/document/8682396 )

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Paper Details

Authors:
Vijay Anavangot, Animesh Kumar
Submitted On:
8 May 2019 - 1:25am
Short Link:
Type:
Poster
Event:
Presenter's Name:
Vijay Anavangot
Paper Code:
4765
Document Year:
2019
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Poster for ICASSP 2019

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[1] Vijay Anavangot, Animesh Kumar, "A Novel Approximate Lloyd-Max Quantizer and Its Analysis", IEEE SigPort, 2019. [Online]. Available: http://sigport.org/3921. Accessed: May. 23, 2019.
@article{3921-19,
url = {http://sigport.org/3921},
author = {Vijay Anavangot; Animesh Kumar },
publisher = {IEEE SigPort},
title = {A Novel Approximate Lloyd-Max Quantizer and Its Analysis},
year = {2019} }
TY - EJOUR
T1 - A Novel Approximate Lloyd-Max Quantizer and Its Analysis
AU - Vijay Anavangot; Animesh Kumar
PY - 2019
PB - IEEE SigPort
UR - http://sigport.org/3921
ER -
Vijay Anavangot, Animesh Kumar. (2019). A Novel Approximate Lloyd-Max Quantizer and Its Analysis. IEEE SigPort. http://sigport.org/3921
Vijay Anavangot, Animesh Kumar, 2019. A Novel Approximate Lloyd-Max Quantizer and Its Analysis. Available at: http://sigport.org/3921.
Vijay Anavangot, Animesh Kumar. (2019). "A Novel Approximate Lloyd-Max Quantizer and Its Analysis." Web.
1. Vijay Anavangot, Animesh Kumar. A Novel Approximate Lloyd-Max Quantizer and Its Analysis [Internet]. IEEE SigPort; 2019. Available from : http://sigport.org/3921