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Novel time-frequency analysis techniques are proposed for deterministic signals. We show that among all linear time-frequency representations only the short-time Fourier transformation (STFT) family satisfies both the shift-invariance and rotation-invariance properties in time, frequency and all fractional Fourier domains. The time-frequency domain localization by STFT is characterized by introducing a novel generalized time-bandwidth product (GTBP) definition, which is an extension of the time-bandwidth product on the fractional Fourier domains. GTBP provides a rotation-independent measure of…mehr

Produktbeschreibung
Novel time-frequency analysis techniques are proposed
for deterministic signals. We show that among all
linear time-frequency representations only the
short-time Fourier transformation (STFT) family
satisfies both the shift-invariance and
rotation-invariance properties in time,
frequency and all fractional Fourier domains. The
time-frequency domain localization by STFT is
characterized by introducing a novel generalized
time-bandwidth product (GTBP) definition, which is an
extension of the time-bandwidth product on the
fractional Fourier domains. GTBP provides a
rotation-independent measure of compactness for
mono-component signals. The GTBP optimal STFT is a
well-localized and high resolution time-frequency
representation providing optimal results for
chirp-like signals that are encountered
in a variety of application areas including radar,
sonar, seismic, and biological signal processing. An
improved GTBP optimal STFT analysis is obtained for
signals with non-convex time-frequency support and
its computationally efficient form is presented.
Finally, we extend these ideas from time-frequency
distributions to joint fractional Fourier domain
representations.
Autorenporträt
Lutfiye Durak, PhD: Studied EE at Bilkent University, Turkey. She
has been at KAIST in Korea and at University of Pittsburgh in
USA. Assistant professor in the ECE Dept of Yildiz Technical
University, Istanbul. Research interests are in time-frequency
signal processing, adaptive and statistical signal processing,
and communications theory.