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PERFORMANCE ANALYSIS OF DISCRETE-VALUED VECTOR RECONSTRUCTION BASED ON BOX-CONSTRAINED SUM OF L1 REGULARIZERS

Abstract: 

In this paper, we analyze the asymptotic performance of a convex optimization-based discrete-valued vector reconstruction from linear measurements. We firstly propose a box-constrained version of the conventional sum of absolute values (SOAV) optimization, which uses a weighted sum of L1 regularizers as a regularizer for the discrete-valued vector. We then derive the asymptotic symbol error rate (SER) performance of the box-constrained SOAV (Box-SOAV) optimization theoretically by using convex Gaussian min-max theorem. Simulation results show that the empirical SER performances of Box-SOAV and the conventional SOAV are very close to the theoretical result for Box-SOAV when the problem size is sufficiently large.

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Paper Details

Authors:
Ryo Hayakawa, Kazunori Hayashi
Submitted On:
15 May 2019 - 5:52pm
Short Link:
Type:
Presentation Slides
Event:
Presenter's Name:
Ryo Hayakawa
Paper Code:
SPTM-L3.04
Document Year:
2019
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Document Files

ICASSP2019_sigport.pdf

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[1] Ryo Hayakawa, Kazunori Hayashi, "PERFORMANCE ANALYSIS OF DISCRETE-VALUED VECTOR RECONSTRUCTION BASED ON BOX-CONSTRAINED SUM OF L1 REGULARIZERS", IEEE SigPort, 2019. [Online]. Available: http://sigport.org/4532. Accessed: Jul. 19, 2019.
@article{4532-19,
url = {http://sigport.org/4532},
author = {Ryo Hayakawa; Kazunori Hayashi },
publisher = {IEEE SigPort},
title = {PERFORMANCE ANALYSIS OF DISCRETE-VALUED VECTOR RECONSTRUCTION BASED ON BOX-CONSTRAINED SUM OF L1 REGULARIZERS},
year = {2019} }
TY - EJOUR
T1 - PERFORMANCE ANALYSIS OF DISCRETE-VALUED VECTOR RECONSTRUCTION BASED ON BOX-CONSTRAINED SUM OF L1 REGULARIZERS
AU - Ryo Hayakawa; Kazunori Hayashi
PY - 2019
PB - IEEE SigPort
UR - http://sigport.org/4532
ER -
Ryo Hayakawa, Kazunori Hayashi. (2019). PERFORMANCE ANALYSIS OF DISCRETE-VALUED VECTOR RECONSTRUCTION BASED ON BOX-CONSTRAINED SUM OF L1 REGULARIZERS. IEEE SigPort. http://sigport.org/4532
Ryo Hayakawa, Kazunori Hayashi, 2019. PERFORMANCE ANALYSIS OF DISCRETE-VALUED VECTOR RECONSTRUCTION BASED ON BOX-CONSTRAINED SUM OF L1 REGULARIZERS. Available at: http://sigport.org/4532.
Ryo Hayakawa, Kazunori Hayashi. (2019). "PERFORMANCE ANALYSIS OF DISCRETE-VALUED VECTOR RECONSTRUCTION BASED ON BOX-CONSTRAINED SUM OF L1 REGULARIZERS." Web.
1. Ryo Hayakawa, Kazunori Hayashi. PERFORMANCE ANALYSIS OF DISCRETE-VALUED VECTOR RECONSTRUCTION BASED ON BOX-CONSTRAINED SUM OF L1 REGULARIZERS [Internet]. IEEE SigPort; 2019. Available from : http://sigport.org/4532