Hilbert transformer and time delay: statistical comparison in the presence of Gaussian noise

QSpace/Manakin Repository

Hilbert transformer and time delay: statistical comparison in the presence of Gaussian noise

Show simple item record


dc.contributor.author Hussain, Z.M
dc.contributor.author Boashash, Boualem
dc.date.accessioned 2011-04-28T14:19:27Z
dc.date.available 2011-04-28T14:19:27Z
dc.date.issued 2002-03
dc.identifier.citation IEEE Transactions on Signal Processing, Vol. 50, No. 3, pp 501-508 en_US
dc.identifier.issn 1053-587X
dc.identifier.uri http://hdl.handle.net/10576/10674
dc.description A time-delay can be used instead of, or, to implement the Hilbert Transform for quadrature phase shifting. en_US
dc.description.abstract We have shown that in the presence of independent and identically distributed (i.i.d.) additive Gaussian noise, the performance of a time delay as a phase shifter, which produces a signal-dependent phase shift, is comparable with the performance of a Hilbert transformer which produces a signal-independent 90° phase shift, especially for high signal-to-noise ratios (SNRs) and the proper choice of the delay. Sinusoidal signals are considered. It is shown that the time-delay phase process in Gaussian noise can be approximated by the noise-free phase plus a non-Gaussian phase noise. As the SNR increases, the expected value of the time-delay phase estimator approaches the true value of the phase, and its variance substantially decreases and converges to the Cramer-Rao bound for all ranges of the effective parameters: the phase shift, the deterministic phase, and SNR. A symmetric transformation of the phase probability density function (PDF) that improves the performance of the time delay in Gaussian noise is also proposed. en_US
dc.description.sponsorship IEEE Signal Processing Society en_US
dc.language.iso en en_US
dc.publisher IEEE en_US
dc.subject Cramer-Rao Bound en_US
dc.subject Gaussian noise en_US
dc.subject Hilbert Transformer en_US
dc.subject phase shifter en_US
dc.subject statistical performance en_US
dc.subject time delay en_US
dc.subject phase estimation en_US
dc.subject quadrature en_US
dc.title Hilbert transformer and time delay: statistical comparison in the presence of Gaussian noise en_US
dc.type Article en_US

Files in this item

Files Size Format View
Boashash-ZahirH ... ransformer &Time-delay.pdf 195.1Kb PDF View/Open

This item appears in the following Collection(s)

Show simple item record

Search QSpace


Advanced Search

Browse

My Account