Title :
The discrete Laguerre transform: derivation and applications
Author :
Mandyam, Giridhar ; Ahmed, Nasir
Author_Institution :
Texas Instrum. Inc., Dallas, TX, USA
fDate :
12/1/1996 12:00:00 AM
Abstract :
The discrete Laguerre transform (DLT) belongs to the family of unitary transforms known as Gauss-Jacobi transforms. Using classical methodology, the DLT is derived from the orthonormal set of Laguerre functions. By examining the basis vectors of the transform matrix, the types of signals that can be best represented by the DLT are determined. Simulation results are used to compare the DLT´s effectiveness in representing such signals to that of other available transforms in applications such as data compression and transform-domain adaptive filters
Keywords :
adaptive filters; adaptive signal processing; data compression; matrix algebra; signal representation; transforms; Gauss-Jacobi transforms; basis vectors; data compression; discrete Laguerre transform; orthonormal Laguerre functions; polynomials; signal representation; simulation results; transform matrix; transform-domain adaptive filters; unitary transforms; Adaptive filters; Adaptive signal processing; Data compression; Discrete Fourier transforms; Discrete cosine transforms; Discrete transforms; Fourier transforms; Gaussian processes; Polynomials; Signal restoration;
Journal_Title :
Signal Processing, IEEE Transactions on