Title :
Filter families with minimum time-bandwidth products
Author :
Babic, Hrvoje ; Vucic, Mladen
Author_Institution :
Fac. of Electr. Eng. & Comput., Zagreb, Croatia
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 filter design up to the eighth order are given
Keywords :
active filters; circuit optimisation; digital filters; passive filters; poles and zeros; transfer functions; transient response; causal systems; energy concentration; filter design; frequency bandwidth; higher order moments; impulse response duration; minimum time-bandwidth products; quasi Gaussian response; second order moment; transfer function poles; Bandwidth; Delay effects; Energy measurement; Filters; Frequency domain analysis; Frequency measurement; Frequency response; Poles and zeros; Shape; Transfer functions;
Conference_Titel :
Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6685-9
DOI :
10.1109/ISCAS.2001.921950
