[Authors]
 A. V. Korovkin and S. M. Masharsky

[Title]
 On the fast Ahmed-Rao transform with subsampling in frequency

[AMS Subj-class]
 42C10 Fourier series in special orthogonal functions

[Abstract]
 Basing on the modified discrete Ahmed-Rao transform,
 a parametric family of recurrent sequences of orthogonal bases
 in a space of discrete periodic signals is constructed.
 The implicit formulas for the basic signals are presented.
 It is shown how to form generalized wavelet packets using these
 bases. The fast algorithm for evaluating the expansion coefficients
 for each presented basis is offered.

[Keywords]
 Ahmed-Rao transform, fast algorithms, wavelet packets

[Comments]
 LaTeX, Russian, 17 pp.

[Contact e-mail]
 smash@scientist.com