System functions with minimum time-bandwidth product based on the higher order moments

Author

Babic, Hrvoje ; Vucic, Mladen

Author_Institution

Fac. of Electr. Eng. & Comput., Zagreb, Croatia

fYear

2001

fDate

2001

Firstpage

479

Lastpage

484

Abstract

Systems of finite order with minimum time-bandwidth products are considered. The time and frequency response spreads are defined by moments of the higher order in both domains. Minimizing the product of the moments, causal systems with the largest energy concentration in the time and frequency domain are obtained. The optimization is carried out for transfer functions up to the eighth order with two and four complex zeros. The moment orders are chosen from two to eight. The influence of the zeros and the moment order on system properties are considered. The complete data suitable for filter design are given

Keywords

filtering theory; frequency response; minimisation; poles and zeros; time-frequency analysis; transfer functions; causal systems; complex zeros; filter design; frequency response spread; higher order moments; minimum time-bandwidth product; time response spread; transfer functions; Bandwidth; Filters; Frequency domain analysis; Frequency measurement; Frequency response; Gaussian processes; Poles and zeros; Time factors; Time measurement; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Image and Signal Processing and Analysis, 2001. ISPA 2001. Proceedings of the 2nd International Symposium on

Conference_Location

Pula

Print_ISBN

953-96769-4-0

Type

conf

DOI

10.1109/ISPA.2001.938677

Filename

938677