High Speed, Numerically Superior Signal Processing Algorithms Using QRD and Delta Operator

Abstract : Several research topics related to the delta operator have been studied. First, our research on the delta operator based efficient stability tests is being wrapped up and concluded. We have revised and published a few papers on various aspects of this topic. Second, we have completed the development of a delta operator based least squares lattice algorithm, which is computationally efficient and numerically better than an existing algorithm. The work is completed during this period and some papers have been submitted/published. Third, we continued to work on the generalized delta operator in the identification of continuous time AR process parameters. We have studied the use of the generalized delta operator in a noisy environment, and have investigated integrated sampling and its effectiveness in coping with noise. Other topics such as blind equalization and wavelet based time varying system modeling have also been studied.