Electrical Department, V.J.T.I. Mumbai Abstract In recent researches, there are countless applications where sine and cosine wave are used, like in Physics, Digital Signal Processing for various transforms, several modulation and demodulation techniques etc. There are numerous ways to generate digital sine and cosine waves, the use of previously calculated tables is one of the choices, but it r...

CORDIC algorithm is used for calculation of complex functions in signal processing and wireless communication applications. These functions are the combination of sine and cosine terms that are linked to complex analysis. Pipeline architectures are used in CORDIC algorithm to reduce the critical path, increases the clock speed. An angle recoding method is used to reduce the latency and obtain t...

This paper studies the heat transfer analysis caused due to free convection in a vertically oscillating cylinder. Exact solutions are determined by applying the Laplace and finite Hankel transforms. Expressions for temperature distribution and velocity field corresponding to cosine and sine oscillations are obtained. The solutions that have been obtained for velocity are presented in the forms ...

The paper presents the implementation and an analysis of the Jordan's nonparametric curve generator algorithm in H/W acceleration solutions like sine/cosine generation. It is shown that the x and y coordinate sequences generated by the algorithm as the curve representation are really approximated nonuniform sampled cosine/sine functions sequences of values with useful properties. The nonuniform...

We introduce two sine and cosine types of generating functions in a general case apply them to the classical hypergeometric orthogonal polynomials as well some widely investigated combinatorial numbers such Bernoulli, Euler Genocchi numbers. This approach can also be applied other celebrated sequences.

Abstract In many real-world situations, we have to deal with multiple objectives simultaneously in order make appropriate decisions. The presence of an optimization problem makes the challenging because most time these are conflicting nature. For example, may want maximize return on investment a portfolio and, other hand, minimize risk associated assets portfolio. We cost product while maximizi...

This paper argues in favor of a specific type of confidence for use in computer-aided diagnosis and disease classification, namely, sine/cosine values of angles represented by points on the unit circle. The paper shows how this confidence is motivated by Chinese medicine and how sine/cosine values are directly related with the two forces Yin and Yang. The angle for which sine and cosine are equ...

Abstract The primary object of study is the “cosine-sine” functional equation f ( xy ) = x g y )+ h for unknown functions f, g, : S → ℂ, where a semigroup. name refers to fact that it contains both sine and cosine addition laws. This has been solved on groups semigroups generated by their squares. Here we find solutions larger class discuss obstacles finding general solution all semigroups. Exa...

Unlike Fourier basis which constitutes fixed sine and cosine waves; the Wavelet Transform has infinite basis functions. The choice of good basis is application dependent. Statistical parameters of the image are dynamic and differ from image to image. A moment vector of natural image will be different from the moment vector of synthetic image. Similarly the edges in natural image have structural...