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Fractional Fourier transform
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===Related transforms=== There also exist related fractional generalizations of similar transforms such as the [[discrete Fourier transform]]. * The '''discrete fractional Fourier transform''' is defined by [[Zeev zalevsky|Zeev Zalevsky]].{{sfn|Candan|Kutay|Ozaktas|2000}}{{sfn|Ozaktas|Zalevsky|Kutay|2001|loc=Chapter 6}} A quantum algorithm to implement a version of the discrete fractional Fourier transform in sub-polynomial time is described by Somma.<ref>{{cite journal |last= Somma |first= Rolando D. |date= 2016 |title= Quantum simulations of one dimensional quantum systems |journal= Quantum Information and Computation |volume= 16 |pages= 1125β1168 |arxiv= 1503.06319v2}}</ref> * The [[Fractional wavelet transform]] (FRWT) is a generalization of the classical [[wavelet transform]] in the fractional Fourier transform domains.<ref>{{cite journal |last1= Shi |first1= Jun |last2= Zhang |first2= NaiTong |last3= Liu |first3= Xiaoping |date= June 2012 |title= A novel fractional wavelet transform and its applications |journal= Sci. China Inf. Sci. |volume= 55 |number= 6 |pages= 1270β1279 |doi= 10.1007/s11432-011-4320-x|s2cid= 3772011 }}</ref> * The [[chirplet transform]] for a related generalization of the [[wavelet transform]].
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