Efficient Scaling of Window Function Expressed as Sum of Exponentials

Yong Ching Lim; Qinglai Liu; Paulo S.R. Diniz; Tapio Saramäki

doi:10.1109/LSP.2022.3198822

Efficient Scaling of Window Function Expressed as Sum of Exponentials

Yong Ching Lim, Qinglai Liu, Paulo S.R. Diniz, Tapio Saramäki

Computing Sciences

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

2 Citations (Scopus)

Abstract

A technique for trading off the main lobe width against sidelobe magnitude for any arbitrary window was reported in Lim et al. and subsequently, a fast convergence method for its implementation was proposed by the same authors. These methods require the computation of derivatives involving the evaluation of trigonometric and hyperbolic functions. In this paper, we show that the derivatives can be computed without evaluating trigonometric and hyperbolic functions if the window function is a sum of exponentials such as a Fourier series.

Original language	English
Pages (from-to)	1814-1817
Number of pages	4
Journal	IEEE Signal Processing Letters
Volume	29
DOIs	https://doi.org/10.1109/LSP.2022.3198822
Publication status	Published - 2022
Publication type	A1 Journal article-refereed

Keywords

Main lobe sidelobe tradeoff
main lobe width
scaling window function
sidelobe magnitude

Publication forum classification

Publication forum level 2

ASJC Scopus subject areas

Signal Processing
Applied Mathematics
Electrical and Electronic Engineering

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10.1109/LSP.2022.3198822

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abstract = "A technique for trading off the main lobe width against sidelobe magnitude for any arbitrary window was reported in Lim et al. and subsequently, a fast convergence method for its implementation was proposed by the same authors. These methods require the computation of derivatives involving the evaluation of trigonometric and hyperbolic functions. In this paper, we show that the derivatives can be computed without evaluating trigonometric and hyperbolic functions if the window function is a sum of exponentials such as a Fourier series.",

keywords = "Main lobe sidelobe tradeoff, main lobe width, scaling window function, sidelobe magnitude",

author = "Lim, {Yong Ching} and Qinglai Liu and Diniz, {Paulo S.R.} and Tapio Saram{\"a}ki",

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AU - Lim, Yong Ching

AU - Liu, Qinglai

AU - Diniz, Paulo S.R.

AU - Saramäki, Tapio

PY - 2022

Y1 - 2022

N2 - A technique for trading off the main lobe width against sidelobe magnitude for any arbitrary window was reported in Lim et al. and subsequently, a fast convergence method for its implementation was proposed by the same authors. These methods require the computation of derivatives involving the evaluation of trigonometric and hyperbolic functions. In this paper, we show that the derivatives can be computed without evaluating trigonometric and hyperbolic functions if the window function is a sum of exponentials such as a Fourier series.

AB - A technique for trading off the main lobe width against sidelobe magnitude for any arbitrary window was reported in Lim et al. and subsequently, a fast convergence method for its implementation was proposed by the same authors. These methods require the computation of derivatives involving the evaluation of trigonometric and hyperbolic functions. In this paper, we show that the derivatives can be computed without evaluating trigonometric and hyperbolic functions if the window function is a sum of exponentials such as a Fourier series.

KW - Main lobe sidelobe tradeoff

KW - main lobe width

KW - scaling window function

KW - sidelobe magnitude

U2 - 10.1109/LSP.2022.3198822

DO - 10.1109/LSP.2022.3198822

M3 - Article

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JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

ER -

Efficient Scaling of Window Function Expressed as Sum of Exponentials

Abstract

Keywords

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