document: Design of 1-D and 2-D variable fractional delay allpass filters using weighted least-squares method In this paper , a weighted least-squares method is presented to design one-dimensional and two-dimensional variable fractional delay allpass filters . First , each coefficient of the variable allpass filter is expressed as the polynomial of the fractional delay parameter . Then , the nonlinear phase error is approximated by a weighted equation error such that the cost function can be converted into a quadratic form . Next , by minimizing the weighted equation error , the optimal polynomial coefficients can be obtained iteratively by solving a set of linear simultaneous equations at each iteration . Finally , the design examples are demonstrated to illustrate the effectiveness of the proposed approach
doc_bio_tags: O O O O O B I I I I O O O O O O O O O O O O O O O O O O O B I I I I O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O B I I O O O B I O O O O O O O O O O O O O B I I O O B I I O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O
extractive_keyphrases: variable fractional delay allpass filters fractional delay parameter weighted equation error cost function optimal polynomial coefficients linear simultaneous equations
abstractive_keyphrases: weighted least-squares method 1d allpass filters 2d allpass filters nonlinear phase error approximation