BIORTHOGONAL PARTNERS FILTERS AND THEIR APPLICATIONS IN COMMUNICATIONS
Date Issued
2006
Date
2006
Author(s)
Hung, Tien-Chiu
DOI
en-US
Abstract
Two digital filters H(z) and F(z) are called biorthogonal partners of each other if their cascade H(z)F(z) satisfies the Nyquist property. Biorthogonal partners arise in many different contexts such as filter bank theory, exact and least squares digital interpolation. And they also can play a role in the theory of equalization in digital
communications. When we want to find a biorthogonal partner, we have to know the exact channel and the biorthogonal partner would change while channel changing.
In this thesis, we first introduce depth-P biorthogonal partners . Then they are applied to communication systems. For any order L (L is not more than P ) channel, the depth-P biorthogonal partners can give inter-symbol interference (ISI) free transmission. We will first introduce some methods to design depth-P Nyquist(M) filters, which can
be decomposed two filters, and we can assure that they are depth-P biorthogonal partners. Then we introduce to how to find depth-P biorthogonal partners directly. In the second part, we introduce multi-band depth-P biorthogonal partners. In designing multi-band depth-P biorthogonal partners, we want not only to have ISI free, but also inter-carrier interference (ICI) free. If we use this kind of method, we don't have to design the equalizer with different channels. In this method, we just need to
know the total channel gains, then we can equalize the received signal.
Subjects
正交對濾波器組設計
biorthogonal partners
Type
thesis
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