Browsing by Keywords "Fractional Fourier domains"
Now showing items 1-10 of 10
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Condition number in recovery of signals from partial fractional fourier domain information
(Optical Society of America, 2013-06)The problem of estimating unknown signal samples from partial measurements in fractional Fourier domains arises in wave propagation. By using the condition number of the inverse problem as a measure of redundant information, ... -
Cost-efficient approximation of linear systems with repeated and multi-channel filtering configurations
(IEEE, 1998-05)It is possible to obtain either exact realizations or useful approximations of linear systems or matrix-vector products arising in many different applications, by synthesizing them in the form of repeated or multi-channel ... -
Equivalence of linear canonical transform domains to fractional Fourier domains and the bicanonical width product: a generalization of the space-bandwidth product
(Optical Society of America, 2010-07-30)Linear canonical transforms (LCTs) form a three-parameter family of integral transforms with wide application in optics. We show that LCT domains correspond to scaled fractional Fourier domains and thus to scaled oblique ... -
Feature extraction with the fractional Fourier transform
(Bilkent University, 1998)In this work, alternative design and implementation techniques for feature extraction applications are proposed. The proposed techniques amount to decomposing the overall feature extraction problem into a global linear ... -
Filtering in fractional Fourier domains and their relation to chirp transforms
(IEEE, 1994-04)Fractional Fourier transforms, which are related to chirp and wavelet transforms, lead to the notion of fractional Fourier domains. The concept of filtering of signals in fractional domains is developed, revealing that ... -
The fractional fourier transform
(IEEE, 2001)A brief introduction to the fractional Fourier transform and its properties is given. Its relation to phase-space representations (time- or space-frequency representations) and the concept of fractional Fourier domains are ... -
Generalization of time-frequency signal representations to joint fractional Fourier domains
(IEEE, 2005-09)The 2-D signal representations of variables rather than time and frequency have been proposed based on either Hermitian or unitary operators. As an alternative to the theoretical derivations based on operators, we propose ... -
Linear algebraic analysis of fractional Fourier domain interpolation
(IEEE, 2009)In this work, we present a novel linear algebraic approach to certain signal interpolation problems involving the fractional Fourier transform. These problems arise in wave propagation, but the proposed approach to these ... -
Optimal filtering in fractional Fourier domains
(IEEE, 1995)The ordinary Fourier transform is suited best for analysis and processing of time-invariant signals and systems. When we are dealing with time-varying signals and systems, filtering in fractional Fourier domains might allow ... -
Signal processing with repeated filtering in fractional Fourier domains
(Board of Optronics Lasers, Tian-Jin City, China, 1998)
