For Full-Text PDF, please login, if you are a member of IEICE,|
or go to Pay Per View on menu list, if you are a nonmember of IEICE.
An Overall Analysis of Periodically Time Varying Digital Filters
Xiong Wei MIN Rokuya ISHII
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1993/03/25
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Digital Signal Processing
recursive PTV, GTF, digital filter, analysis, polyphase model,
Full Text: PDF(804.9KB)>>
The main interest of this paper is the theoretical analysis of a recursive periodically time varying digital filter. The generalized transfer function of a recursive periodically time varying digital filter was obtained from its difference equation. It was proved that by making use of the generalized transfer function, we can not only derive the input and output relationship of a recursive periodically time varying digital filter easily but also obtain its equivalent structure effectively. An interesting property of a recursive periodically time varying digital filter was also derived by making use of its generalized transfer function. Moreover, it was completed in this paper the investigation of the generalized transfer functions and impulse responses of other periodically time varying models, including an input sampling polyphase model and an output sampling polyphase model. Meanwhile, the multirate Quadrature Mirror Filter bank system was proved by the authors to be a periodically time varying system. Several examples were also provided to illustrate the effectiveness of using the generalized transfer function to obtain the equivalent structure of a recursive periodically time varying digital filter.