Identification of two dimensional harmonics via 1-D polynomial root finding

Yibin Zheng; Shuming Tseng

Identification of two dimensional harmonics via 1-D polynomial root finding

Yibin Zheng^*
, Shuming Tseng

^*Corresponding author for this work

University of Virginia
Unknown

Research output: Contribution to conference › Conference Paper › peer-review

Abstract

A novel parametric algorithm that can identify roughly N² / 4 exponentials (harmonics) via 1-D polynomial rooting technique is presented. This compares favorably with most existing algorithms which can identify only order N harmonics. The algorithm is not Fourier resolution limited, and requires neither searching in 2-D space nor 2-D polynomial rooting. A specific example of identifying 4 harmonics from a 3×3 array is developed in detail and numerical performance is demonstrated.

Original language	English
Pages	III254-III257
State	Published - 2002
Externally published	Yes
Event	2002 45th Midwest Symposium on Circuits and Systems - Tulsa, OK, United States Duration: 04 08 2002 → 07 08 2002

Conference

Conference	2002 45th Midwest Symposium on Circuits and Systems
Country/Territory	United States
City	Tulsa, OK
Period	04/08/02 → 07/08/02

Cite this

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title = "Identification of two dimensional harmonics via 1-D polynomial root finding",

abstract = "A novel parametric algorithm that can identify roughly N2 / 4 exponentials (harmonics) via 1-D polynomial rooting technique is presented. This compares favorably with most existing algorithms which can identify only order N harmonics. The algorithm is not Fourier resolution limited, and requires neither searching in 2-D space nor 2-D polynomial rooting. A specific example of identifying 4 harmonics from a 3×3 array is developed in detail and numerical performance is demonstrated.",

author = "Yibin Zheng and Shuming Tseng",

year = "2002",

language = "英语",

pages = "III254--III257",

note = "2002 45th Midwest Symposium on Circuits and Systems ; Conference date: 04-08-2002 Through 07-08-2002",

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TY - CONF

T1 - Identification of two dimensional harmonics via 1-D polynomial root finding

AU - Zheng, Yibin

AU - Tseng, Shuming

PY - 2002

Y1 - 2002

N2 - A novel parametric algorithm that can identify roughly N2 / 4 exponentials (harmonics) via 1-D polynomial rooting technique is presented. This compares favorably with most existing algorithms which can identify only order N harmonics. The algorithm is not Fourier resolution limited, and requires neither searching in 2-D space nor 2-D polynomial rooting. A specific example of identifying 4 harmonics from a 3×3 array is developed in detail and numerical performance is demonstrated.

AB - A novel parametric algorithm that can identify roughly N2 / 4 exponentials (harmonics) via 1-D polynomial rooting technique is presented. This compares favorably with most existing algorithms which can identify only order N harmonics. The algorithm is not Fourier resolution limited, and requires neither searching in 2-D space nor 2-D polynomial rooting. A specific example of identifying 4 harmonics from a 3×3 array is developed in detail and numerical performance is demonstrated.

UR - https://www.scopus.com/pages/publications/17044449648

M3 - 论文

AN - SCOPUS:17044449648

SP - III254-III257

T2 - 2002 45th Midwest Symposium on Circuits and Systems

Y2 - 4 August 2002 through 7 August 2002

ER -

Identification of two dimensional harmonics via 1-D polynomial root finding

Abstract

Conference

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