Title :
A Sequential Constrained Least-Square Method for Minimax Design of Linear-phase FIR filters with Time-domain Constraints
Author_Institution :
Sch. of Inf. Eng., Shandong Univ., Weihai
Abstract :
This paper presents a sequential constrained least-square (SCLS) method for the minimax design of FIR filters with time-domain constraints. The method converts the minimax design into a series of constrained least-square (CLS) problems that positively converge to the minimax design. The SCLS method has been implemented by using a binary search to produce a sequence of error bounds converging to the minimax error, and then solving the CLS filters whose magnitude error are constrained within the error bounds with a projected least-square algorithm. Design examples are provided to demonstrate the effectiveness of the SCLS method and the numerical stability of the PLS based implementation.
Keywords :
FIR filters; least mean squares methods; linear phase filters; minimax techniques; time-domain synthesis; linear-phase FIR filters; minimax design; sequential constrained least-square method; time-domain constraints; Approximation algorithms; Approximation error; Constraint theory; Design engineering; Design methodology; Finite impulse response filter; Frequency; Minimax techniques; Numerical stability; Time domain analysis;
Conference_Titel :
Circuits and Systems, 2007. ISCAS 2007. IEEE International Symposium on
Conference_Location :
New Orleans, LA
Print_ISBN :
1-4244-0920-9
Electronic_ISBN :
1-4244-0921-7
DOI :
10.1109/ISCAS.2007.378504
