Discrete probability density estimation using multirate DSP models
ICME '03 Proceedings of the 2003 International Conference on Multimedia and Expo - Volume 2
On synthesis of asymptotic filter banks based on a generalization of the Tellegen's principle
AEE'05 Proceedings of the 4th WSEAS international conference on Applications of electrical engineering
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Two digital filters H(z) and F(z) are said to be biorthogonal partners of each other if their cascade H(z)F(z) satisfies the Nyquist or zero-crossing property. Biorthogonal partners arise in many different contexts such as filterbank theory, exact and least squares digital interpolation, and multiresolution theory. They also play a central role in the theory of equalization, especially, fractionally spaced equalizers in digital communications. We first develop several theoretical properties of biorthogonal partners. We also develop conditions for the existence of biorthogonal partners and FIR biorthogonal pairs and establish the connections to the Riesz basis property. We then explain how these results play a role in many of the above-mentioned applications