Efficient Scaling of Window Function Expressed as Sum of Exponentials

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

Research output: Contribution to journalArticleScientificpeer-review


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 languageEnglish
Pages (from-to)1814-1817
Number of pages4
JournalIEEE Signal Processing Letters
Publication statusPublished - 2022
Publication typeA1 Journal article-refereed


  • 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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