Geodesic
Several observations on Toeplitz and Hankel circulants
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIX, Tome 334 (2006), pp. 121-127

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An application of the unitary similarity with the discrete Fourier transform to the algebra of diagonal matrices yields the algebra of circulants. It turns out that if, in this construction, the unitary similarity is replaced by the unitary congruence, then the class of the so-called Hankel circulants is obtained. The causes and certain effects of this fact are discussed. 
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     author = {Kh. D. Ikramov and V. N. Chugunov},
     title = {Several observations on {Toeplitz} and {Hankel} circulants},
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Kh. D. Ikramov; V. N. Chugunov. Several observations on Toeplitz and Hankel circulants. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XIX, Tome 334 (2006), pp. 121-127. http://geodesic.mathdoc.fr/item/ZNSL_2006_334_a8/