Evaluation of integrals Meijer G-function Bessel functions Cosine and sine functions a b s t r a c t This paper is devoted to the study of the special function Z ν ρ (z) of z ∈ C with two parameters ρ ∈ R and ν ∈ C. In a special case such a function coincides with the McDonald function. Using the representations of Z ν ρ (z) in terms of the H-function, being different for ρ > 0 and ρ < 0, we de...

In this paper we design a CORDIC architecture for variable–precision, and a new algorithm is proposed to perform the interval sine and cosine functions. This system allows us to specify the precision to perform the sine and cosine functions, and control the accuracy of the result, in such a way that recomputation of inaccurate results can be carried out with higher precision. An important reduc...

Information processing in the visual cortex of the mammalian brain allows compact image coding and representation. Receptive ®eld structures found in the visual cortex of the mammalian brain resemble Gabor ®lters. There has been recent interest in the use of such receptive ®eld pro®les for image coding and texture processing. Systems employing such Gabor ®lters have been implemented in software...

This paper presents simple wavelet based image compression method where wavelet transform is generated from orthogonal component transforms. Wavelets of DCT, DST and Real-DFT and Discrete Hartley Transform (DHT) are generated. Each generated wavelet transform is applied separately on R, G, and B plane of 256x256x3 colour image. Performance of these wavelet transforms is evaluated using two para...

This paper presents a technique for finding the optimal initial weight for adaptive filter by using difference equation. The obtained analytical response of the system identifies the appropriate weights for the system and shows that the MSE depends on the initial weight. The proposed technique is applied to eliminate the known frequency power line interference (PLI) signal in the electrocardiog...

Students who have grown up with computers and calculators may take their capabilities for granted, but I find something magical about entering arbitrary values and computing transcendental functions such as the sine and cosine with the punch of a button. While the calculation seems like "white magic", the calculator operates like a "black box" we don’t teach our trigonometry students what happe...

Many of the real life problems are modelled as Matrix Second Order Systems, (refer Wu and Duan [19], Hughes and Skelton [10]). Necessary and sufficient condition for controllability of Matrix Second Order Linear (MSOL) Systems has been established by Hughes and Skelton [10]. However, no scheme for computation of control was proposed. In this paper we first obtain another necessary and sufficien...

In this paper we compare implementations of Duprat and Muller’s Branching CORDIC and Phatak’s Double Step Branching (DSB)–CORDIC algorithms for Sine and Cosine evaluation. For reference we also report on classical CORDIC implementations for the same wordlengths. We have also implemented Double Stepping in the classical algorithm and report on the performance of this method. CORDIC evaluation of...

Many hardware algorithms exist to handle the hardware intensive signal processing problems. Among these algorithms is a set of shift-add algorithms collectively known as CORDIC for computing a wide range of functions including certain trigonometric, hyperbolic, linear and logarithmic functions. While there are numerous articles covering various aspects of CORDIC algorithms, very few survey more...

Dimensionality reduction, clustering and visualisation methods proposed in recent years have afforded new possibilities for the analysis of gene expression data. However, efficient, novel techniques for processing and representing microarray data are still required. We propose the use of the discrete cosine and sine transformations for dimensionality reduction of microarray data. These techniqu...