Fractionalization of Fourier transform
References (9)
- et al.
Optics Comm.
(1993) J. Inst. Math. Appl.
(1980)- et al.
Inst. Math. J. Appl. Math.
(1987) - et al.
J. Opt. Soc. Am. A
(1993)
Cited by (147)
Color image encryption system using combination of robust chaos and chaotic order fractional Hartley transformation
2022, Journal of King Saud University - Computer and Information SciencesCitation Excerpt :The discrete version of multiparameter transform was presented by Pei and Hsue (2006) and generalized thereafter by Hsue and Chang (2015). Thus, instead of using a single transform order, multiple parameters are used (Lang et al., 2010; Sui et al., 2015; Carnicer et al., 2005; Li et al., 2008; Shih, 1995; Pei and Hsue, 2006; Hsue and Chang, 2015; Shan et al., 2012; Lang, 2012, 2015; Liu and Nan, 2013; Kaur et al., 2020). The multiparameter scheme, although provides an enlarged keyspace, but has some security issues such as having more than one set of decryption keys due to periodicity and its vulnerability to blind decryption (Ran et al., 2009; Zhao et al., 2016).
Image encryption using linear weighted fractional-order transform
2021, Journal of Visual Communication and Image RepresentationChaos based multiple order optical transform for 2D image encryption
2020, Engineering Science and Technology, an International JournalCitation Excerpt :Pei et al. [24] extended their own work on discrete fractional transform [10] to a multiparameter discrete fractional transform where the basic idea is to take different fractional powers for different eigen values to achieve multiparameter property of an eigen value decomposition based fractional transform. Lang et al. [25] proposed a new source of multiplicity of weight type FRFT coined as Weighted fractional Fourier transform (WFRFT) which could generalize the weight coefficients of WFRFT to contain 2 vector parameters ([M,N] ∈ Z) and followed the concept of generalizing periodicity given in [22]. The multifractional Fourier transform thus generated is proved as the linear combination of FRFTs with different orders.
A reformulation of weighted fractional Fourier transform
2020, Digital Signal Processing: A Review JournalCitation Excerpt :Fractional Fourier transform (FRFT), as a generalized form of Fourier transform, has been applied in many fields, resulting in a diverse range of its definitions [1]. In this paper, we study a class of WFRFT that was first proposed as a combination of the integer-order Fourier transform [2]. With the rapid development of information technology, people have attached great importance to information security, which has led to the rapid development of WFRFT.
A Robust Extended Hybrid Carrier System for the Next Generation Wireless Communications
2024, IEEE Transactions on Vehicular Technologydouble-component combined generalized weighted fractional fourier transform based waveform design for massive MIMo
2023, Tongxin Xuebao/Journal on Communications