Filter families with minimum time-bandwidth products

Babic, H.; Vučić, Mladen

doi:10.1109/iscas.2001.921950

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ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196)

DOI: 10.1109/iscas.2001.921950

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Filter families with minimum time-bandwidth products

H. Babic

Mladen Vučić²

Abstract: A filter family with minimum product of the impulse response duration and the frequency bandwidth is considered. The impulse response spread is characterized by the higher order moments. For the frequency spread measure, the second order moment is used. Minimizing products of the moments, causal systems with the largest energy concentration in time for a given bandwidth are obtained. The resulting impulse response is quasi Gaussian with small and short ringing. The transfer function poles suitable for the filt… Show more

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

Babic

Vučić

ISPA 2001. Proceedings of the 2nd International Symposium on Image and Signal Processing and Analysis. In Conjunction With 23rd

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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 to system properties are considered. The complete data suitable for filter design are given.

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

Babic

Vučić

ISPA 2001. Proceedings of the 2nd International Symposium on Image and Signal Processing and Analysis. In Conjunction With 23rd

Self Cite

View full text Add to dashboard Cite

show abstract

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Filter families with minimum time-bandwidth products

Cited by 1 publication

References 2 publications

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

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

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