正交對濾波器組設計以及其應用於通訊

BIORTHOGONAL PARTNERS FILTERS AND THEIR APPLICATIONS IN COMMUNICATIONS

洪佃玖(Tien-Chiu Hung)

指導教授 ： 馮世邁

國立臺灣大學/電機資訊學院/電信工程學研究所/碩士(2006年)

https://doi.org/10.6342/NTU.2006.00402

摘要

無資料

關鍵字

正交對濾波器組設計

並列摘要

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.

並列關鍵字

biorthogonal partners

參考文獻

[2] P.P.Vaidyanathan and Bojan Vrcelj, "Biorthogonal Partners and Applications," IEEE Trans. Signal Processing, Vol.49, pp.1013-1028, May 2001.

[3] Bojan Vrcelj and P.P.Vaidyanathan, "Theory of MIMO Biorthogonal Partners and Their Apllication in Channel Equalization," in Proc. ICC, Helsinki, Finland, June 2001.

[4] Bojan Vrcelj and P.P.Vaidyanathan, "MIMO Biorthogonal Partners and Applications," IEEE Trans. Signal Processing, Vol.50, pp528-542, March 2002.

[5] P.P.Vaidyanathan and T. Nguyen, "Eigenfilters: A New Approach to Least Square FIR Filter Design and Applications Including Nyquist Filters," Circuits and sys-

[6] Y. Wisutmethangoon and T.Q. Nguyen, "A Method for Dsign of Mth-Band Filters," IEEE Trans. Signal Processing, Vol.47, pp.1669-1678, June 1999.