Iterative Design Methods for Filter Banks and Transceivers
Date Issued
2005
Date
2005
Author(s)
Chiang, Han-Ting
DOI
en-US
Abstract
Multirate filter banks have recently drawn a lot of attention. Filter banks can decompose signals into separate frequency subbands. Separate operations can be applied to those subband signals to obtain very good results. The theory and design methods of uniform filter bank have been well studied and developed. In many applications, however, uniform filter banks do not provide appropriate frequency decomposition, and it is sometimes more desirable to decompose a signal into nonuniform frequency subbands. System which are closely related to filter banks are filter bank transceivers. It is well known that when transmission channels are one tap channels, we can obtain transceivers that achieve ISI-free by interchanging the analysis with the synthesis parts of perfect reconstruction (PR) maximally decimated filter banks, even in the case of nonuniform subbands. For multipath channels, however, these transceivers are no longer ISI-free.
In the first part of this thesis, we propose a direct and simple design method suitable for designing any filter bank (uniform or nonuniform) with a set of sampling factors that can achieve PR. Also, we show that we can easily incorporate the method with some constraints, such as linear phase, frequency constraints, paraunitariness, the IFIR structure, and low delay condition. In addition, we generalize some necessary or sufficient conditions developed in the past for the case of integer decimation factors to the case of rational sampling factors. In many applications, some statistical information of the input signals may be known. If the information is incorporated into the design of filter banks, we can often obtain better results such as smaller reconstruction error or better frequency response. We modify the proposed filter bank design method to take into consideration the input statistics as well as the quatization noise effect.
In the second part of this thesis, we consider generalized design methods for filter bank transceivers, which can be either uniform or nonuniform, to combat against multipath channels. Furthermore, the proposed methods can be modified by adding frequency constraints to improve the frequency characteristics of the filters.
Subjects
濾波器組
收發機
疊代
非均勻
filter bank
transceiver
iterative
nonuniform
Type
thesis
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