In view of the usefulness and great importance of fractional kinetic equations due to their occurrence in certain astrophysical problems, we have further investigated the generalized fractional kinetic equations; solutions of which contain the Rand Gfunctions of Lorenzo and Hartley (the generalized functions for the fractional calculus). The aim of this paper is to investigate the solutions of ...

The Hartley transform based feature extraction method is proposed for fingerprint matching. Hartley transform is applied on a smaller region that has been cropped around the core point. The performance of this proposed method is evaluated based on the standard database of Bologna University and the database of the FVC2002. We used the city block distance to compute the similarity between the te...

A higher order scheme is presented for the optimal correction method of Kanatani [5] for triangulation from two views and is compared with the method of Hartley and Sturm [3]. It is pointed out that the epipole is a singularity of the Hartley-Sturm method, while the proposed method has no singularity. Numerical simulation confirms that both compute identical solutions at other points. However, ...

Length The structured abstracts were, as expected, longer than the traditional ones. Indeed, they were approximately 30 percent longer, which is 10 percent more than the average 20 percent increase in length reported by Hartley (2002) for nine studies. It is interesting to note, however, that the average Hartley / CLARITY OF JOURNAL ABSTRACTS IN PSYCHOLOGY 371 TABLE 2 The Average Scores and Sta...

Optical interferometers are commonly used for a variety of applications, including spectral analysis, displacement measurements, and gyroscopes. They were also proposed, in a more limited sense, for applications involving image processing.' In what follows we describe three new interferometers that implement mathematical operations on images borne by coherent input laser beams. Each interferome...

The discrete cosine and sine transforms are generalized to a triangular fragment of the honeycomb lattice. The two-variable orbit functions of the Weyl group A2, discretized simultaneously on the weight and root lattices, induce the family of the extended Weyl orbit functions. The periodicity and von Neumann and Dirichlet boundary properties of the extended Weyl orbit functions are detailed. Th...

This paper highlights the possible tradeoffs between arithmetic and structural complexity when computing cyclic convolution of real data in the transform domain. Both Fourier and Hartley-based schemes are first explained in their usual form and then improved, either from the structural point of view or in the number of operations involved. Namely, we first present an algorithm for the in-place ...

The report presents a novel approach for image compression using the Hartley transform (HT). The Hartley transform has the advantage of solving the problem of phase wrapping from which the Fourier transform suffers. The magnitude and phase compression using this transformation (HT) have proved better performance than those of the Fourier Transform. Magnitude and phase were processed separately....

Arithmetic complexity has a main role in the performance of algorithms for spectrum evaluation. Arithmetic transform theory offers a method for computing trigonometrical transforms with minimal number of multiplications. In this paper, the proposed algorithms for the arithmetic Fourier transform are surveyed. A new arithmetic transform for computing the discrete Hartley transform is introduced:...

In this paper, we propose Speaker Identification using the frequency distribution of various transforms like DFT (Discrete Fourier Transform), DCT (Discrete Cosine Transform), DST (Discrete Sine Transform), Hartley, Walsh, Haar and Kekre transforms. The speech signal spoken by a particular speaker is converted into frequency domain by applying the different transform techniques. The distributio...