P
P. Kraniauskas
Publications - 6
Citations - 464
P. Kraniauskas is an academic researcher. The author has contributed to research in topics: Fractional Fourier transform & Fourier transform. The author has an hindex of 6, co-authored 6 publications receiving 440 citations.
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Unified fractional Fourier transform and sampling theorem
TL;DR: This work applies the language of the unified FT to develop FRT expressions for discrete and continuous signals, introducing a particular form of periodicity: chirp-periodicity.
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A unified framework for the fractional Fourier transform
TL;DR: A general definition of the fractional Fourier transform (FRT) for all signal classes and the multiplicity (which is intrinsic in a fractional operator) is clearly developed.
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Multiplicity of fractional Fourier transforms and their relationships
TL;DR: A general FRT definition is generated, based on eigenfunctions and eigenvalues of the ordinary Fourier transform, which allows us to generate all possible definitions and gives explicit relationships between the different FRTs.
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The fractional discrete cosine transform
TL;DR: The paper introduces and develops the fractional discrete cosine transform (DCT) on the same lines, discussing multiplicity and computational aspects.
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Method for defining a class of fractional operations
TL;DR: This correspondence proposes a systematic method, based on the structure of the FRT, which not only provides unambiguous extensions of ordinary operations but permits writing the applicable expressions simply by inspection.