000176303 001__ 176303
000176303 005__ 20180913061229.0
000176303 0247_ $$2doi$$a10.1109/TSP.2011.2177260
000176303 02470 $$2ISI$$a000301355500007
000176303 037__ $$aARTICLE
000176303 245__ $$aShift-Invariant and Sampling Spaces Associated With the Fractional Fourier Transform Domain
000176303 269__ $$a2012
000176303 260__ $$c2012
000176303 336__ $$aJournal Articles
000176303 520__ $$aShift-invariant spaces play an important role in sampling theory, multiresolution analysis, and many other areas of signal and image processing. A special class of the shift-invariant spaces is the class of sampling spaces in which functions are determined by their values on a discrete set of points. One of the vital tools used in the study of sampling spaces is the Zak transform. The Zak transform is also related to the Poisson summation formula and a common thread between all these notions is the Fourier transform.
000176303 6531_ $$aFractional fourier transform
000176303 6531_ $$afractional Zak transform
000176303 6531_ $$aPoisson summation formula
000176303 6531_ $$areproducing kernels
000176303 6531_ $$asampling spaces
000176303 6531_ $$asemi-discrete convolution
000176303 6531_ $$ashift-invariant spaces
000176303 6531_ $$aBand-Limited Signals
000176303 6531_ $$aUnmatched Filter Properties
000176303 6531_ $$aPulse-Shaping Filters
000176303 6531_ $$aWavelet Subspaces
000176303 6531_ $$aTheorem
000176303 6531_ $$aReconstruction
000176303 6531_ $$aFormulas
000176303 6531_ $$aConversion
000176303 6531_ $$aSplines
000176303 6531_ $$aShannon
000176303 700__ $$0244602$$aBhandari, Ayush$$g177196$$uEPFL, Biomed Imaging Grp, CH-1015 Lausanne Vd, Switzerland
000176303 700__ $$aZayed, Ahmed I.$$uDePaul Univ, Schmitt Acad Ctr SAC 524, Dept Math Sci, Chicago, IL 60614 USA
000176303 773__ $$j60$$q1627-1637$$tIeee Transactions On Signal Processing
000176303 909C0 $$0252054$$pLIB$$xU10347
000176303 909CO $$ooai:infoscience.tind.io:176303$$pSTI$$particle
000176303 937__ $$aEPFL-ARTICLE-176303
000176303 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED
000176303 980__ $$aARTICLE