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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Bibliographic Details
Published in:IEEE signal processing letters 2022, Vol.29, p.1814-1817
Main Authors: Lim, Yong Ching, Liu, Qinglai, Diniz, Paulo S. R., Saramaki, Tapio
Format: Article
Language:English
Subjects:
Chebyshev approximation
Computational efficiency
Derivatives
Fourier series
Frequency response
Hyperbolic functions
Indexes
Iterative methods
Laboratories
Main lobe sidelobe tradeoff
main lobe width
scaling window function
sidelobe magnitude
Sidelobes
Window functions
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Summary: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.
ISSN:1070-9908
1558-2361
DOI:10.1109/LSP.2022.3198822