Discrete analogs of the Lebedev–Skalskaya transforms are introduced and investigated. It involves series integrals with respect to kernels Re Kα+in(x),Im Kα+in(x),x>0,n∈N,|α|<1, i is imaginary unit Kν(z) modified Bessel function. The corresponding inversion formulas for suitable functions sequences in terms these established when α=±1/2. case α=0 reduces Kontorovich–Lebedev transform.

Any set of two legs in a Gough–Stewart platform sharing an attachment is defined as a ∆component. This component links a point in the platform (base) to a line in the base (platform). Thus, if the two legs, which are involved in a ∆ component, are rearranged without altering the location of the line and the point in their base and platform local reference frames, the singularity locus of the Go...

Emotional expressivity in singing is examined by comparing neutral and expressive performances of a set of music excerpts as performed by a professional baritone singer. Both the neutral and the expressive versions showed considerable deviations from the nominal description represented by the score. Much of these differences can be accounted for in terms of the application of two basic principl...

This paper presents a method of detecting periodicities in data that exploits a series of projections onto “periodic subspaces.” The algorithm finds its own set of nonorthogonal basis elements (based on the data), rather than assuming a fixed predetermined basis as in the Fourier, Gabor, and wavelet transforms. A major strength of the approach is that it is linearin-period rather than linear-in...

In this paper, we develop new fast algorithms for 2-D integer circular convolutions and 2-D number theoretic transforms (NTT). These new algorithms, which offer improved computational complexity, are constructed based on polynomial transforms over 2, ; these transforms are Fourier-like transforms over Z1,[.r], which is the integral domain of polynomial forms over Z,. Having defined such polynom...

Image transforms are used extensively in image processing to convert one image form into another form. These transforms are either point-operation transforms or neighborhood-operation transforms. Injective transforms, also known as reversible or one-to-one transforms, are a subset of point-operation transforms where each intensity value maps to a distinct intensity value. In this paper we prese...