Martin Morf

TL;DR: In this paper, the concept of displacement ranks is introduced to measure how close a given matrix is to Toeplitz matrices, and it is shown that these non-Toeplitzer matrices should be invertible with a complexity between O(N2 and O(3).

TL;DR: In this article, a comparison between the different state-space models is presented and proper definitions of state, controllability and observability and their relations to minimality of 2D systems are discussed.

TL;DR: A Hilbert space approach to the derivations of magnitude normalized signal and gain recursions is presented and normalized forms are expected to have even better numerical properties than the unnormalized versions.

TL;DR: In this paper, the authors presented a method of calculating these vectors with proportional-to-Np operations and memory locations, in contrast to the conventional way which requires proportional-top-N 2 operations and Np memory locations.

TL;DR: In this article, the authors describe several interconnections between the topics mentioned in the title and show how some previously known formulas for inverting Toeplitz operators in both discrete and contirected setting can be used to obtain the same result.