BIORTHOGONAL PARTNERS FILTERS AND THEIRAPPLICATIONS IN COMMUNICATIONS

• Main Authors: Tien-Chiu Hung, 洪佃玖
• Other Authors: See-May Phoong
• Format: Others
• Language: en_US
• Published: 2006
• Online Access: http://ndltd.ncl.edu.tw/handle/20652024918302375707

碩士 === 國立臺灣大學 === 電信工程學研究所 === 94 === 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.