Some software libraries add special entry points to enable both the sine and cosine to be evaluated with one call for performance purposes. This paper proposes another method which does not involve new function names. By having the compiler front end recognize trigonometric function invocations, and replace them with a call to a common function which executes the code common to all the function...

Abstract. The modified discrete cosine transform (MDCT) and modified discrete sine transform (MDST) both for the evenly and oddly stacked systems are perfect reconstruction cosine/sine–modulated filter banks based on time domain aliasing cancellation (TDAC) employed in the current international audio coding standards and commercial audio compression products. Based on the matrix representation ...

Coarse-grained phase distributions are introduced that approximate to the Susskind–Glogower cosine and sine phase distributions. The integral relations between the phase distributions and the phase-parametrized fieldstrength distributions observable in balanced homodyning are derived and the integral kernels are analyzed. It is shown that the phase distributions can be directly sampled from the...

We present measurements of the electron ejection direction in the ionization of high (n=90) Rydberg states of rubidium subjected to few-cycle radio-frequency (RF) pulses. For weak pulses we find a strong asymmetry for even (cosine) pulses and no asymmetry for odd (sine) pulses. This asymmetry disappears for pulses longer than four RF cycles. For strong pulses, very large asymmetry is found for ...

This article is concerned with a new method for the approximate evaluation of Fourier sine and cosine transforms. We develope and analyse a new quadrature rule for Fourier sine and cosine transforms involving transforming the integral to one over the entire real line and then using the trapezoidal rule in order to approximate the transformed integral. This method follows on from the work of Oou...

In this article, a novel methodology is proposed by utilizing technique which, in light of the change African vulture optimization known as Sine Cosine, adopted an algorithm (SCaAVOA)-based tilt integral derivative (TID) regulator for load frequency control (LFC) five-area power system with multi-type generations. At first, execution Cosine-adopted calculation tried contrasting it standard AVOA...