Efficient scaling of window function expressed as sum of exponentials

Efficient scaling of window function expressed as sum of exponentials

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 evalu...

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Main Authors: Lim, Yong Ching, Liu, Qinglai, Diniz, Paulo S. R., Saramäki, Tapio
Format: Article
Language:English
Published: 2022
Subjects:
Engineering::Electrical and electronic engineering
Fourier Series
Chebyshev Approximation
Online Access:https://hdl.handle.net/10356/163466
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1634662022-12-07T03:33:35Z Efficient scaling of window function expressed as sum of exponentials Lim, Yong Ching Liu, Qinglai Diniz, Paulo S. R. Saramäki, Tapio Engineering::Electrical and electronic engineering Fourier Series Chebyshev Approximation 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. This work was supported in part by the Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior -Brasil (CAPES) -Finance Code 001, in part by CNPQ, and in part by FAPERJ. 2022-12-07T03:33:35Z 2022-12-07T03:33:35Z 2022 Journal Article Lim, Y. C., Liu, Q., Diniz, P. S. R. & Saramäki, T. (2022). Efficient scaling of window function expressed as sum of exponentials. IEEE Signal Processing Letters, 29, 1814-1817. https://dx.doi.org/10.1109/LSP.2022.3198822 1070-9908 https://hdl.handle.net/10356/163466 10.1109/LSP.2022.3198822 2-s2.0-85136849850 29 1814 1817 en IEEE Signal Processing Letters © 2022 IEEE. All rights reserved.
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Electrical and electronic engineering
Fourier Series
Chebyshev Approximation
spellingShingle Engineering::Electrical and electronic engineering
Fourier Series
Chebyshev Approximation
Lim, Yong Ching
Liu, Qinglai
Diniz, Paulo S. R.
Saramäki, Tapio
Efficient scaling of window function expressed as sum of exponentials
description 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.
format Article
author Lim, Yong Ching
Liu, Qinglai
Diniz, Paulo S. R.
Saramäki, Tapio
author_facet Lim, Yong Ching
Liu, Qinglai
Diniz, Paulo S. R.
Saramäki, Tapio
author_sort Lim, Yong Ching
title Efficient scaling of window function expressed as sum of exponentials
title_short Efficient scaling of window function expressed as sum of exponentials
title_full Efficient scaling of window function expressed as sum of exponentials
title_fullStr Efficient scaling of window function expressed as sum of exponentials
title_full_unstemmed Efficient scaling of window function expressed as sum of exponentials
title_sort efficient scaling of window function expressed as sum of exponentials
publishDate 2022
url https://hdl.handle.net/10356/163466
_version_ 1753801152523141120

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