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COMPLEX NONSEPARABLE OVERSAMPLED LAPPED TRANSFORM FOR SPARSE REPRESENTATION OF MILLIMETER WAVE RADAR IMAGE

Abstract: 

This work generalizes an existing framework of nonseparable oversampled lapped transforms (NSOLTs) to effectively represent complex-valued images.
The original NSOLTs are lattice-structure-based redundant transforms, which satisfy the linear-phase, compact-supported and real-valued property. The lattice structure is able to constitute a Parseval tight frame with rational redundancy and to generate a dictionary with directional atomic images.
In this study, a generalized structure of NSOLTs is proposed to cover complex-valued atomic images.
The novel transform is referred to as a complex NSOLT ($\mathbb{C}$NSOLT).
The effectiveness of the structure is verified by evaluating the sparse approximation performance using the iterative hard thresholding (IHT) algorithm for a millimeter wave radar image.

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Paper Details

Authors:
Satoshi Nagayama, Shogo Muramatsu, Hiroyoshi yamada, Yuuichi Sugiyama
Submitted On:
18 September 2017 - 2:05am
Short Link:
Type:
Poster
Event:
Presenter's Name:
Satoshi Nagayama
Paper Code:
MQ-PB.3
Document Year:
2017
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Document Files

cnsolt_icip2017.pdf

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[1] Satoshi Nagayama, Shogo Muramatsu, Hiroyoshi yamada, Yuuichi Sugiyama, "COMPLEX NONSEPARABLE OVERSAMPLED LAPPED TRANSFORM FOR SPARSE REPRESENTATION OF MILLIMETER WAVE RADAR IMAGE", IEEE SigPort, 2017. [Online]. Available: http://sigport.org/2219. Accessed: Sep. 21, 2019.
@article{2219-17,
url = {http://sigport.org/2219},
author = {Satoshi Nagayama; Shogo Muramatsu; Hiroyoshi yamada; Yuuichi Sugiyama },
publisher = {IEEE SigPort},
title = {COMPLEX NONSEPARABLE OVERSAMPLED LAPPED TRANSFORM FOR SPARSE REPRESENTATION OF MILLIMETER WAVE RADAR IMAGE},
year = {2017} }
TY - EJOUR
T1 - COMPLEX NONSEPARABLE OVERSAMPLED LAPPED TRANSFORM FOR SPARSE REPRESENTATION OF MILLIMETER WAVE RADAR IMAGE
AU - Satoshi Nagayama; Shogo Muramatsu; Hiroyoshi yamada; Yuuichi Sugiyama
PY - 2017
PB - IEEE SigPort
UR - http://sigport.org/2219
ER -
Satoshi Nagayama, Shogo Muramatsu, Hiroyoshi yamada, Yuuichi Sugiyama. (2017). COMPLEX NONSEPARABLE OVERSAMPLED LAPPED TRANSFORM FOR SPARSE REPRESENTATION OF MILLIMETER WAVE RADAR IMAGE. IEEE SigPort. http://sigport.org/2219
Satoshi Nagayama, Shogo Muramatsu, Hiroyoshi yamada, Yuuichi Sugiyama, 2017. COMPLEX NONSEPARABLE OVERSAMPLED LAPPED TRANSFORM FOR SPARSE REPRESENTATION OF MILLIMETER WAVE RADAR IMAGE. Available at: http://sigport.org/2219.
Satoshi Nagayama, Shogo Muramatsu, Hiroyoshi yamada, Yuuichi Sugiyama. (2017). "COMPLEX NONSEPARABLE OVERSAMPLED LAPPED TRANSFORM FOR SPARSE REPRESENTATION OF MILLIMETER WAVE RADAR IMAGE." Web.
1. Satoshi Nagayama, Shogo Muramatsu, Hiroyoshi yamada, Yuuichi Sugiyama. COMPLEX NONSEPARABLE OVERSAMPLED LAPPED TRANSFORM FOR SPARSE REPRESENTATION OF MILLIMETER WAVE RADAR IMAGE [Internet]. IEEE SigPort; 2017. Available from : http://sigport.org/2219