Digital sine and cosine waves have been used in countless applications in the field of vector rotated Digital Signal Processing (DSP). The COordinate Rotation DIgital Computer (CORDIC) algorithm has become very popular due to its simplicity in catering to almost perfect digital sine and cosine waveforms during modulation and demodulation processes in DSP modules. In this paper, we have presente...

Engineering design optimization problems are difficult to solve because the objective function is often complex, with a mix of continuous and discrete variables various constraints. Our research presents novel hybrid algorithm that integrates benefits sine cosine (SCA) artificial bee colony (ABC) address engineering problems. The SCA recently developed metaheuristic many advantages, such as goo...

In this paper we obtain the conditions for L-convergence of the r-th derivatives of the cosine and sine trigonometric series. These results are extensions of corresponding Sidon’s and Telyakovskii’s theorems for trigonometric series (case: r = 0).

This paper describes architecture of DCT and DWT standard of an image compression. It is used specially for the compression of images where tolerable degradation is required. The discrete cosine transform is a fast transform and has fixed basis images which gives good compromise between information packing ability and computational complexity. DWT can be used to reduce the image size without lo...

A control problem for delay partial differential equations is considered. The Fourier method and special functions, called the delayed sine and delayed cosine functions, are used for solving. AMS Subject Classifications: 35Q93, 34K35, 35L20.

A general approach to arithmetic Fourier transforms is developed. The implementation is based on sine and cosine killer procedures pertaining to a generalized Möbius transform involving reduced periodic multiplicative arithmetical functions. It is shown that cosine killer procedures exist whenever one half of Euler’s totient function of the order of the transform is odd. Primitive roots and ind...

The Sine Cosine Algorithm (SCA) is a well-known optimization technique that utilizes sine and cosine functions to identify optimal solutions. Despite its popularity, the SCA has limitations in terms of low diversity, stagnation local optima, difficulty achieving global optimization, particularly complex large-scale problems. In response, we propose novel approach named Improved Weight Strategy ...

The discrete Fourier-cosine transform (cos-DFT), the discrete Fourier-sine transform (sin-DFT) and the discrete cosine transform (DCT) are closely related to the discrete Fourier transform (DFT) of real-valued sequences. This paper describes a general method for constructing fast algorithms for the cos-DFT, the sin-DFT and the DCT, which is based on polynomial arithmetic with Chebyshev polynomi...