Variable digital filter design with least square criterion subject to peak gain constraints
Hai Huyen Dam, Antonio Cantoni, Kok Lay Teo, Sven Erik Nordholm · UWA Profiles and Research Repository (University of Western Australia) · 2006
Variable digital filters (VDFs) are useful for various sig-nal processing and communication applications where the frequency characteristics, such as fractional delays and cutoff frequencies, can be varied online. In this paper, we present a formulation that allows the trade-off between the integral squared error and the maximum deviation from the desired response in the passband and stopband. With this formula-tion, the maximum deviation can be reduced below the least square solution with a slight change in the performance of the integral squared error. Similarly, the total square error can be reduced below the minmax solution with a minor change in the maximum deviation from the minmax solution. Numeri-cal schemes with adaptive grid size are presented for solving the optimization problems. 1.