Fractional Fourier transforms of hypercomplex signals
نویسندگان
چکیده
منابع مشابه
Fractional Fourier transforms of hypercomplex signals
An overview is given to a new approach for obtaining generalized Fourier transforms in the context of hypercomplex analysis (or Clifford analysis). These transforms are applicable to higher-dimensional signals with several components and are different from the classical Fourier transform in that they mix the components of the signal. Subsequently, attention is focused on the special case of the...
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In multi-dimensional signal processing the Cliiord Fourier transform (CFT or in the 2-D case: quater-nionic Fourier transform/QFT) is a consequent extension of the complex valued Fourier transform. Hence, we need a fast algorithm in order to compute the transform in practical applications. Since the CFT is based on a corresponding Cliiord algebra (CA) and CAs are not commutative in general, we ...
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ژورنال
عنوان ژورنال: Signal, Image and Video Processing
سال: 2012
ISSN: 1863-1703,1863-1711
DOI: 10.1007/s11760-012-0315-3