A Matrix-Oriented Approach for Analysis and Optimisation of Block Digital Filters
Gilles Burel · 2002
Abstract: — Block Digital Filtering (BDF) is a well known method for fast digital �ltering. Indeed, it decomposes the input signal into blocks and takes pro�t ofcomplexityreductionprovidedbytheFastFourierTransform algorithm to considerably reduce the computational cost. In this paper, we propose a simple and ef�cient matrixoriented approach to compute and visualize the frequency response of a BDF, as well as to optimise the BDF coef�cients. This approach can be considered as an interesting alternative to the traditional overlap-save method, because it provides better frequency responses. Key-Words: — Block Digital Filters, Overlap-Save, Optimal �lter, Aliasing, Time-varying response. 1