Computationally efficient FIR digital filters

Abstract

In this thesis, new techniques and methods are developed to design computationally efficient FIR digital filters. First, a modified frequency-response masking (FRM) structure is proposed to decouple the masking filters from the bandedge shaping filter, which adds more flexibility in selection of the interpolation factors for the bandedge shaping filter and the masking filters. Second, two methods are presented to reduce the arithmetic complexity of FRM based filters. One of the methods utilizes a novel prefilter-equalizer to replace one masking filter in an FRM based filter. The other method incorporates the single filter frequency masking technique into the FRM approach. The proposed structures can be used to design FIR filters with varying specifications. Third, new masking filter structures are developed to design narrowband and wideband interpolated FIR filters. Finally, new non-uniform linear-phase digital filter banks are proposed for digital audio system applications.