In this paper we use Python to implement two efficient modular exponentiation methods: the adaptive m-ary method and the adaptive sliding-window method of window size k, where both m’s are adaptively chosen based on the length of exponent. We also conduct the benchmark for both methods. Evaluation results show that compared to the industry-standard efficient implementations of modular power fun...

The peak of the polynomial Wigner-Ville distribution is known to be a consistent estimator of the instantaneous frequency for polynomial FM signals. In this paper, we present an algorithm for the design of an optimal time-varying window length for this estimator when noisy non-linear, not necessarily polynomial, FM signals are considered. The results obtained show that the estimator is accurate...

Objective: To study the variations in the course of the facial nerve by studying the second genu angle (S.G.A.) aiming to provide a more detailed description of the anatomy of the nerve, thus avoiding its injury during middle ear surgery. Material and Methods: 35 adult temporal bones were studied by dissecting them at the temporal bone laboratory in Ain Shams University Specialized Hospital (AS...

BACKGROUND AND PURPOSE A preoperative prediction of the 360 degrees point insertion depth would aid the planning of electric acoustic stimulation (EAS) implantation. The purpose of this study was to establish whether the distance between the round window and the opposite cochlear wall on CT or MR imaging may be used to predict the length of a cochlear implant electrode array required to be inse...

Type–token ratio (TTR), or vocabulary size divided by text length (V/N), is a timehonoured but unsatisfactory measure of lexical diversity. The problem is that the TTR of a text sample is affected by its length. We present an algorithm for rapidly computing TTR through a moving window that is independent of text length, and we demonstrate that this measurement can detect changes within a text a...

Window functions are used to reduce Gibbs’ oscillations resulting from the truncation of a Fourier series and they are employed in a variety of signal processing applications including power spectral estimation, beamforming, and digital filter design. In this dissertation, the application of window functions based on the ultraspherical window is explored. First, two methods for evaluating the c...

AlzGa1−zAs layers of various compositions were grown using metalorganic chemical vapor deposition on a GaAs substrate with pattern alternating SiO2 mask/window stripes, each 100 µm wide. Microphotoluminescence maps and thickness profiles that demonstrated the distribution growth rate z in window experimentally studied. It was shown layer AlAs mole fraction increased continuously from center to ...

s is a time-frequency transform based on the concept of short-time fourier transform and wavelet transform. the main property of this transform that separate it from the discrete short-time fourier transform is variable frequency resolution. but in this transform the change of resolution of high frequencies to low frequencies is very high. so another transform as a modified s transform is intro...