277 research outputs found

    Fast Transformations with Walsh-Hadamard Functions

    Full text link
    Title: Fast Transformations with Walsh-Hadamard Functions, Author: Frank Y.Y. Shum, Location: ThodeIn this thesis, various techniques to generate Walsh-Hadamard functions are discussed. Efficient algorithms to compute the discrete Walsh-Hadamard transform have been derived and implemented. The design of a simple, but very fast, digital circuit that can perform the transform or its inverse is presented. These algorithms have been applied to the processing of speech for the investigation of bit rate reduction. Intelligible speech has been reconstructed from 8 or 4 dominant Walsh-Hadamard coefficients out of a field of 64, with a constant update time of 8 milliseconds, on a CDC-1700 computer.ThesisMaster of Engineering (ME

    On fully nonlinear CR invariant equations on the Heisenberg group

    No full text
    AbstractIn this paper we provide a characterization of second order fully nonlinear CR invariant equations on the Heisenberg group, which is the analogue in the CR setting of the result proved in the Euclidean setting by A. Li and the first author in Li and Li (2003) [21]. We also prove a comparison principle for solutions of second order fully nonlinear CR invariant equations defined on bounded domains of the Heisenberg group and a comparison principle for solutions of a family of second order fully nonlinear equations on a punctured ball

    Crystal structure of TREX1 in complex with a Y structured DNA

    No full text
    corecore