TY - GEN
T1 - Distortion rate function of cyclo-stationary Gaussian processes
AU - Kipnis, Alon
AU - Goldsmith, Andrea J.
PY - 2014
Y1 - 2014
N2 - An expression for the distortion rate function of cyclostationary Gaussian processes is derived. This expression is given by water-filling over the eigenvalues of a spectral density matrix associated with the source. For processes in continuous time, the distortion rate function is given in terms of a limiting function of the eigenvalues of this matrix. A lower bound on the distortion-rate function, which does not involve eigenvalue computation, is also derived. This distortion rate function is evaluated for the processes obtained by modulating a Gaussian stationary narrowband pulse by a deterministic sine wave, and is shown to be equal to the distortion rate function of the stationary narrowband pulse.
AB - An expression for the distortion rate function of cyclostationary Gaussian processes is derived. This expression is given by water-filling over the eigenvalues of a spectral density matrix associated with the source. For processes in continuous time, the distortion rate function is given in terms of a limiting function of the eigenvalues of this matrix. A lower bound on the distortion-rate function, which does not involve eigenvalue computation, is also derived. This distortion rate function is evaluated for the processes obtained by modulating a Gaussian stationary narrowband pulse by a deterministic sine wave, and is shown to be equal to the distortion rate function of the stationary narrowband pulse.
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U2 - 10.1109/ISIT.2014.6875351
DO - 10.1109/ISIT.2014.6875351
M3 - Conference contribution
AN - SCOPUS:84906544667
SN - 9781479951864
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 2834
EP - 2838
BT - 2014 IEEE International Symposium on Information Theory, ISIT 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2014 IEEE International Symposium on Information Theory, ISIT 2014
Y2 - 29 June 2014 through 4 July 2014
ER -