Digital Discrete Fractional Signal Transforms and Its Applications (1/3)
Date Issued
2004-07-31
Date
2004-07-31
Author(s)
DOI
922213E002089
Abstract
Different images always have different amplitude
spectrums. However, in this paper, we show that, with the
appending of proper imaginary parts, we can make a series
of natural images have the same amplitude spectrum
but different phase key in the frequency domain. Since the
only difference among the spectra is phase, we can use the
phase spectrum to represent each of the images. Different
images correspond to different phase keys. It is useful for
image encryption and data compression. Our algorithm
can be applied for not only the FT but also the fractional
Fourier transform (FRFT) and many other operators.
Since many parts of the algorithm can be treated as keys,
we can effectively encrypt an image. Moreover, we can
also reverse the direction of the algorithm, i.e., make a
series of images have the same phase spectrum and use
the amplitude spectra as the keys to distinguish different
images.
Subjects
phase key and amplitude key algorithms
discrete
fractional Fourier transform
fractional Fourier transform
discrete linear canonical transform
Publisher
臺北市：國立臺灣大學電機工程學系暨研究所
Type
report
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