Title :
Nonlinear phase FIR filter design with minimum LS error and additional constraints
Author :
Lang, Markus ; Bamberger, Joachim
Author_Institution :
Univ. of Erlangen, Germany
Abstract :
The problem of approximating a complex frequency response by a real-valued FIR (finite impulse response) filter according to the L/sub 2/ norm subject to additional inequality constraints for the complex error function is examined. Starting with the Kuhn-Tucker optimality conditions which specialize to a system of nonlinear equations, an iterative algorithm is derived. These equations are solved by Newton´s method in every iteration step. The algorithm allows arbitrary compromises between an L/sub 2/ and an L/sub infinity / design. The L/sub 2/ and the L/sub infinity / solutions result as special cases.<>
Keywords :
constraint theory; digital filters; frequency response; iterative methods; least squares approximations; nonlinear network synthesis; Kuhn-Tucker optimality conditions; Newton´s method; complex error function; complex frequency response; finite impulse response; inequality constraints; iterative algorithm; minimum least squares error; nonlinear equations; real-valued FIR filter design;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1993. ICASSP-93., 1993 IEEE International Conference on
Conference_Location :
Minneapolis, MN, USA
Print_ISBN :
0-7803-7402-9
DOI :
10.1109/ICASSP.1993.319434
