The Experts below are selected from a list of 294 Experts worldwide ranked by ideXlab platform
P.s.r. Diniz - One of the best experts on this subject based on the ideXlab platform.
-
On the time-frequency content of Weyl-Heisenberg frames generated from odd and Even Functions [signal representation applications]
2005 IEEE International Symposium on Circuits and Systems, 2005Co-Authors: L. Lovisolo, M.g. De Pinho, E.a.b. Da Silva, P.s.r. DinizAbstract:This work discusses the time-frequency content of frames, especially of Weyl-Heisenberg frames. We begin by showing that the sum of the time-frequency contents of all the Functions in a set being always positive is a sufficient condition for this set of Functions to generate a frame. It is then derived that for Weyl-Heisenberg frames {E/sub mb/T/sub na/g(t)}/sub n,m//spl epsiv/z of an Even Function g(t) the maxima are placed at (na, mb) in the time-frequency domain and the minima at (na+a/2, mb+b/2); whereas for an odd Function g(t) the maxima are placed at (na, mb+b/2) and the minima at (na+a/2, mb). This indicates effective ways to, for a given increase in the cardinality of the frame, obtain "tighter" frame bounds.
-
ISCAS (3) - On the time-frequency content of Weyl-Heisenberg frames generated from odd and Even Functions [signal representation applications]
2005 IEEE International Symposium on Circuits and Systems, 1Co-Authors: L. Lovisolo, M.g. De Pinho, E.a.b. Da Silva, P.s.r. DinizAbstract:This work discusses the time-frequency content of frames, especially of Weyl-Heisenberg frames. We begin by showing that the sum of the time-frequency contents of all the Functions in a set being always positive is a sufficient condition for this set of Functions to generate a frame. It is then derived that for Weyl-Heisenberg frames {E/sub mb/T/sub na/g(t)}/sub n,m//spl epsiv/z of an Even Function g(t) the maxima are placed at (na, mb) in the time-frequency domain and the minima at (na+a/2, mb+b/2); whereas for an odd Function g(t) the maxima are placed at (na, mb+b/2) and the minima at (na+a/2, mb). This indicates effective ways to, for a given increase in the cardinality of the frame, obtain "tighter" frame bounds.
Vincent Laurain - One of the best experts on this subject based on the ideXlab platform.
-
Wiener system identification by weighted principal component analysis
2014Co-Authors: Qinghua Zhang, Vincent LaurainAbstract:Wiener system identification is investigated in this paper with a finite impulse response (FIR) model of the linear subsystem. Under the assumption of Gaussian input distribution, this paper mainly aims at addressing a deficiency of the well-known correlation-based method for Wiener system identification: it fails when the nonlinearity of the Wiener system is an Even Function. This method is, in the considered Gaussian input case, equivalent to the best linear approximation (BLA), which exhibits the same deficiency. The method proposed in this paper is based on a weighted principal component analysis (wPCA). Its consistency is proved in this paper for Wiener systems with either Even or non Even nonlinearities. Its computational cost is almost the same as that of a standard PCA. Numerical examples are presented to compare the proposed wPCA-based method with the correlation-based method for different Wiener systems with nonlinearities more or less close to an Even Function.
-
ECC - Wiener system identification by weighted principal component analysis
2014 European Control Conference (ECC), 2014Co-Authors: Qinghua Zhang, Vincent LaurainAbstract:Wiener system identification is investigated in this paper with a finite impulse response (FIR) model of the linear subsystem. Under the assumption of Gaussian input distribution, this paper mainly aims at addressing a deficiency of the well-known correlation-based method for Wiener system identification: it fails when the nonlinearity of the Wiener system is an Even Function. This method is, in the considered Gaussian input case, equivalent to the best linear approximation (BLA), which exhibits the same deficiency. The method proposed in this paper is based on a weighted principal component analysis (wPCA). Its consistency is proved in this paper for Wiener systems with either Even or non Even nonlinearities. Its computational cost is almost the same as that of a standard PCA. Numerical examples are presented to compare the proposed wPCA-based method with the correlation-based method for different Wiener systems with nonlinearities more or less close to an Even Function.
L. Lovisolo - One of the best experts on this subject based on the ideXlab platform.
-
On the time-frequency content of Weyl-Heisenberg frames generated from odd and Even Functions [signal representation applications]
2005 IEEE International Symposium on Circuits and Systems, 2005Co-Authors: L. Lovisolo, M.g. De Pinho, E.a.b. Da Silva, P.s.r. DinizAbstract:This work discusses the time-frequency content of frames, especially of Weyl-Heisenberg frames. We begin by showing that the sum of the time-frequency contents of all the Functions in a set being always positive is a sufficient condition for this set of Functions to generate a frame. It is then derived that for Weyl-Heisenberg frames {E/sub mb/T/sub na/g(t)}/sub n,m//spl epsiv/z of an Even Function g(t) the maxima are placed at (na, mb) in the time-frequency domain and the minima at (na+a/2, mb+b/2); whereas for an odd Function g(t) the maxima are placed at (na, mb+b/2) and the minima at (na+a/2, mb). This indicates effective ways to, for a given increase in the cardinality of the frame, obtain "tighter" frame bounds.
-
ISCAS (3) - On the time-frequency content of Weyl-Heisenberg frames generated from odd and Even Functions [signal representation applications]
2005 IEEE International Symposium on Circuits and Systems, 1Co-Authors: L. Lovisolo, M.g. De Pinho, E.a.b. Da Silva, P.s.r. DinizAbstract:This work discusses the time-frequency content of frames, especially of Weyl-Heisenberg frames. We begin by showing that the sum of the time-frequency contents of all the Functions in a set being always positive is a sufficient condition for this set of Functions to generate a frame. It is then derived that for Weyl-Heisenberg frames {E/sub mb/T/sub na/g(t)}/sub n,m//spl epsiv/z of an Even Function g(t) the maxima are placed at (na, mb) in the time-frequency domain and the minima at (na+a/2, mb+b/2); whereas for an odd Function g(t) the maxima are placed at (na, mb+b/2) and the minima at (na+a/2, mb). This indicates effective ways to, for a given increase in the cardinality of the frame, obtain "tighter" frame bounds.
M.g. De Pinho - One of the best experts on this subject based on the ideXlab platform.
-
On the time-frequency content of Weyl-Heisenberg frames generated from odd and Even Functions [signal representation applications]
2005 IEEE International Symposium on Circuits and Systems, 2005Co-Authors: L. Lovisolo, M.g. De Pinho, E.a.b. Da Silva, P.s.r. DinizAbstract:This work discusses the time-frequency content of frames, especially of Weyl-Heisenberg frames. We begin by showing that the sum of the time-frequency contents of all the Functions in a set being always positive is a sufficient condition for this set of Functions to generate a frame. It is then derived that for Weyl-Heisenberg frames {E/sub mb/T/sub na/g(t)}/sub n,m//spl epsiv/z of an Even Function g(t) the maxima are placed at (na, mb) in the time-frequency domain and the minima at (na+a/2, mb+b/2); whereas for an odd Function g(t) the maxima are placed at (na, mb+b/2) and the minima at (na+a/2, mb). This indicates effective ways to, for a given increase in the cardinality of the frame, obtain "tighter" frame bounds.
-
ISCAS (3) - On the time-frequency content of Weyl-Heisenberg frames generated from odd and Even Functions [signal representation applications]
2005 IEEE International Symposium on Circuits and Systems, 1Co-Authors: L. Lovisolo, M.g. De Pinho, E.a.b. Da Silva, P.s.r. DinizAbstract:This work discusses the time-frequency content of frames, especially of Weyl-Heisenberg frames. We begin by showing that the sum of the time-frequency contents of all the Functions in a set being always positive is a sufficient condition for this set of Functions to generate a frame. It is then derived that for Weyl-Heisenberg frames {E/sub mb/T/sub na/g(t)}/sub n,m//spl epsiv/z of an Even Function g(t) the maxima are placed at (na, mb) in the time-frequency domain and the minima at (na+a/2, mb+b/2); whereas for an odd Function g(t) the maxima are placed at (na, mb+b/2) and the minima at (na+a/2, mb). This indicates effective ways to, for a given increase in the cardinality of the frame, obtain "tighter" frame bounds.
E.a.b. Da Silva - One of the best experts on this subject based on the ideXlab platform.
-
On the time-frequency content of Weyl-Heisenberg frames generated from odd and Even Functions [signal representation applications]
2005 IEEE International Symposium on Circuits and Systems, 2005Co-Authors: L. Lovisolo, M.g. De Pinho, E.a.b. Da Silva, P.s.r. DinizAbstract:This work discusses the time-frequency content of frames, especially of Weyl-Heisenberg frames. We begin by showing that the sum of the time-frequency contents of all the Functions in a set being always positive is a sufficient condition for this set of Functions to generate a frame. It is then derived that for Weyl-Heisenberg frames {E/sub mb/T/sub na/g(t)}/sub n,m//spl epsiv/z of an Even Function g(t) the maxima are placed at (na, mb) in the time-frequency domain and the minima at (na+a/2, mb+b/2); whereas for an odd Function g(t) the maxima are placed at (na, mb+b/2) and the minima at (na+a/2, mb). This indicates effective ways to, for a given increase in the cardinality of the frame, obtain "tighter" frame bounds.
-
ISCAS (3) - On the time-frequency content of Weyl-Heisenberg frames generated from odd and Even Functions [signal representation applications]
2005 IEEE International Symposium on Circuits and Systems, 1Co-Authors: L. Lovisolo, M.g. De Pinho, E.a.b. Da Silva, P.s.r. DinizAbstract:This work discusses the time-frequency content of frames, especially of Weyl-Heisenberg frames. We begin by showing that the sum of the time-frequency contents of all the Functions in a set being always positive is a sufficient condition for this set of Functions to generate a frame. It is then derived that for Weyl-Heisenberg frames {E/sub mb/T/sub na/g(t)}/sub n,m//spl epsiv/z of an Even Function g(t) the maxima are placed at (na, mb) in the time-frequency domain and the minima at (na+a/2, mb+b/2); whereas for an odd Function g(t) the maxima are placed at (na, mb+b/2) and the minima at (na+a/2, mb). This indicates effective ways to, for a given increase in the cardinality of the frame, obtain "tighter" frame bounds.