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Open Access Research Article

Design of Ultraspherical Window Functions with Prescribed Spectral Characteristics

Stuart WA Bergen* and Andreas Antoniou

Author Affiliations

Department of Electrical and Computer Engineering, University of Victoria, P.O. Box 3055 STN CSC, Victoria, BC V8W 3P6, Canada

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EURASIP Journal on Advances in Signal Processing 2004, 2004:196503  doi:10.1155/S1110865704403114

The electronic version of this article is the complete one and can be found online at: http://asp.eurasipjournals.com/content/2004/13/196503

Received:7 April 2003
Revisions received:17 January 2004
Published:5 October 2004

© 2004 Bergen and Antoniou

A method for the design of ultraspherical window functions that achieves prescribed spectral characteristics is proposed. The method comprises a collection of techniques that can be used to determine the three independent parameters of the ultraspherical window such that a specified ripple ratio and main-lobe width or null-to-null width along with a user-defined side-lobe pattern can be achieved. Other known two-parameter windows can achieve a specified ripple ratio and main-lobe width; however, their side-lobe pattern cannot be controlled as in the proposed method. A comparison with other windows has shown that a difference in performance exists between the ultraspherical and Kaiser windows, which depends critically on the required specifications. The paper also highlights some applications of the proposed method in the areas of digital beamforming and image processing.

window functions; ultraspherical window; beamforming; image processing; digital filters

Research Article