Title :
Design of fractional delay filters using convex optimization
Author :
Putnam, William ; Smith, Julius
Author_Institution :
Dept. of Electr. Eng., Stanford Univ., CA, USA
Abstract :
Fractional sample delay (FD) filters are useful and necessary in many applications, such as the accurate steering of acoustic arrays, delay lines for physical models of musical instruments, and time delay estimation. This paper addresses the design of finite impulse response (FIR) FD filters. The problem is posed as a convex optimization problem in which the maximum modulus of the complex error is minimized. Several design examples are presented, along with an empirical formula for the filter order required to meet a given worst case group delay error specification
Keywords :
FIR filters; circuit optimisation; delays; digital filters; filtering theory; signal sampling; FIR filters; acoustic arrays steering; complex error; convex optimization; delay lines; empirical formula; filter order; finite impulse response FD filters; fractional delay filters design; fractional sample delay filters; group delay error specification; maximum modulus; musical instruments; physical models; time delay estimation; Acoustic applications; Acoustic arrays; Delay effects; Delay estimation; Design optimization; Filtering; Finite impulse response filter; Frequency response; Lagrangian functions; Music;
Conference_Titel :
Applications of Signal Processing to Audio and Acoustics, 1997. 1997 IEEE ASSP Workshop on
Conference_Location :
New Paltz, NY
Print_ISBN :
0-7803-3908-8
DOI :
10.1109/ASPAA.1997.625616
