Window Design and Enhancement using Chebyshev

Document type: Conference Papers
Peer reviewed: Yes
Full text:
Author(s): To Tran, Mattias Dahl, Ingvar Claesson, Thomas L Lagö
Title: Window Design and Enhancement using Chebyshev
Translated title: Fönster design och förbättring med Chebyshev optimering
Conference name: 1st International Conference "From Scientific Computing to Computational Engineering" (1st IC-SCCE)
Year: 2004
City: Athens
Organization: Blekinge Institute of Technology
Department: School of Engineering - Dept. of Signal Processing (Sektionen för teknik – avd. för signalbehandling)
School of Engineering S- 372 25 Ronneby
+46 455 38 50 00
Authors e-mail:
Language: English
Abstract: This paper presents a new and versatile framework to
window design based on a semi-infinite linear programming
approach by using the Dual Nestled Complex Approximation (DNCA)
algorithm. The paper considers a practical problem formulation,
the general window design specification and the corresponding
optimum solution. The DNCA linear programming algorithm is
presented and several highly optimized window design examples
included. Furthermore, the capability of the design method by
enhancing the sidelobe attenuation of existing windows such as
Flattop windows is illustrated as well. Flattop windows are
commonly available in frequency analyzers for accurate amplitude
measurements of harmonic tones in presence of noise. However, the
design method can be directly applied to any other existing
window, in purpose to enhance its performance. With the proposed
method it is possible to design windows with more than 150dB
sidelobe attenuation. A relevant application where such high
precision windows is needed are in today's 24bit equivalent
1bit-Sigma-Delta ADC:s, where high frequency noise is generated.
Subject: Signal Processing\Filter Design
Keywords: Frequency Analysis, Window, Flattop, Optimization, DNCA