Complex interpolation for rational orthogonal signal approximation with applications

Orthogonal functions play a fundamental role in the representation of signals and are crucial in many forms of analysis and processing. The article is concerned with the discrete time Kautz (1954) extension of Laguerre functions as a basis of signal representation. There is a wealth of properties that follow from such functions that have profound implications in many areas of digital signal processing. The fundamental result is that the linear manifold of the projection of a given signal into the adopted space is obtainable by simple complex interpolation at a well defined set of points on the z-plane