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The Discrete Laguerre Transform: Derivation and Applications
- IEEE Transactions on Signal Processing
, 1995
"... 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 ..."
Abstract
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Cited by 10 (2 self)
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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
A Unifying Construction of Orthonormal Bases for System Identification
- IEEE TRANSACTIONS ON AUTOMATIC CONTROL
, 1994
"... In this paper we develop a general and very simple construction for complete orthonormal bases for system identification. This construction provides a unifying formulation of all known orthonormal bases since the common FIR and recently popular Laguerre and Kautz model structures are restrictive spe ..."
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Cited by 78 (20 self)
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In this paper we develop a general and very simple construction for complete orthonormal bases for system identification. This construction provides a unifying formulation of all known orthonormal bases since the common FIR and recently popular Laguerre and Kautz model structures are restrictive
ANALYSIS OF LAGUERRE’S METHOD APPLIED TO FIND THE ROOTS OF UNITY
"... Abstract. Previous analyses of Laguerre’s method have provided results on the convergence and properties of this popular method when applied to the polynomials pn(z) = zn−1, n ∈ N [2,3,13]. While these analyses appear to provide a fairly complete picture, careful study of the results reveals that m ..."
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Abstract. Previous analyses of Laguerre’s method have provided results on the convergence and properties of this popular method when applied to the polynomials pn(z) = zn−1, n ∈ N [2,3,13]. While these analyses appear to provide a fairly complete picture, careful study of the results reveals
Hemodynamic transfer function estimation with Laguerre polynomials and confidence interval construction, from functional magnetic resonance imaging data
- In Proc. IEEE Intl. Conf. on Acoustics, Speech, and Signal Processing
, 2004
"... In order to construct spatial activation plots from functional magnetic resonance imaging (fMRI) data, a complex spatio-temporal modeling problem must be solved. A crucial part of this process is the estimation of the hemodynamic response (HR) function, an impulse response relating the stimulus sign ..."
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Cited by 1 (0 self)
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contributions here. Firstly we pursue a nonparametric approach using orthonormal causal Laguerre polynomials which have become popular in the system identification literature. It also happens that the shape of the basis elements is similar to that of a typical HR. We thus expect to achieve a compact and so bias
Orthonormal Bases for System Identification
"... In this paper we present a general and very simple construction for generating complete orthonormal bases for system identification. This construction provides a unifying formulation of orthonormal bases since the common FIR and recently popular Laguerre and Kautz model structures are restrictive sp ..."
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In this paper we present a general and very simple construction for generating complete orthonormal bases for system identification. This construction provides a unifying formulation of orthonormal bases since the common FIR and recently popular Laguerre and Kautz model structures are restrictive
Modelling of Random Processes using Orthonormal Bases
"... In this paper autoregressive (AR) modelling of stationary processes is generalised so that it becomes a special case of modelling using orthonormal bases. Given this interpretation, a general construction of orthonormal basis functions is presented. This construction is such that the AR expansion, a ..."
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, and the more recently popular Laguerre expansion emerge as special cases. However, in contrast to these special cases, the bases employed in this paper possess poles that may be arbitrarily set according to prior knowledge of the zeros of the stable spectral factor of the spectral density of interest
Analog VLSI Implementations of Continuous-Time Memory Structures
, 1996
"... The continuous-time implementation of the popular transversal #lter is problematic since it is impossible to implement an ideal time delay in continuoustime hardware. We believe that building an ideal time delay would not be worthwhile anyway since the ideal time delay has shown to be inferior to lo ..."
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Cited by 5 (4 self)
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The continuous-time implementation of the popular transversal #lter is problematic since it is impossible to implement an ideal time delay in continuoustime hardware. We believe that building an ideal time delay would not be worthwhile anyway since the ideal time delay has shown to be inferior
Analog VLSI Implement at ions of Continuous-Time Memory Structures
"... Abstract- The continuous-time implementation of the popular transversal filter is problematic since it is impossible to implement an ideal time delay in continuous-time hardware. We believe that building an ideal time delay would not be worthwhile anyway since the ideal time delay has shown to be in ..."
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Abstract- The continuous-time implementation of the popular transversal filter is problematic since it is impossible to implement an ideal time delay in continuous-time hardware. We believe that building an ideal time delay would not be worthwhile anyway since the ideal time delay has shown
Model of heterogeneous microscale in SOFI for Monte Carlo simulations
, 2007
"... We present a methodology for creating a simulated foam microstructure for use in forward simulations of wave equations to quantitatively analyze the expected scattering phenomenon primarily responsible for the attenuation of interrogating signals in Sprayed-On Foam Insulation (SOFI). Our approach bu ..."
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builds off of the popular use of Voronoi Tessalations for crystal growth modeling by using the Laguerre variant (Apollonius Graph) applied to close-packed spheres. A filled-in random raindrop algorithm is used to generate the packing configuration. Lastly, variation of diameter mean values is used
A comparison of marching-on in time method with marching-on in degree method for the TDIE solver
- Progress In In Electromagnetics Research, PIER 79, 2008 351 Electromagnetics Research, PIER
"... Abstract—One of the most popular methods to solve a time-domain integral equation (TDIE) is the marching-on in time (MOT) method. Recently, a new method called marching-on in degree (MOD) that uses Laguerre polynomials as temporal basis functions has been developed to eliminate the late time instabi ..."
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Cited by 3 (2 self)
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Abstract—One of the most popular methods to solve a time-domain integral equation (TDIE) is the marching-on in time (MOT) method. Recently, a new method called marching-on in degree (MOD) that uses Laguerre polynomials as temporal basis functions has been developed to eliminate the late time
Results 1 - 10
of
12
