Inverse trigonometric functions

About: Inverse trigonometric functions is a research topic. Over the lifetime, 854 publications have been published within this topic receiving 11141 citations. The topic is also known as: arcus function & antitrigonometric function.

A new model of an inverse sine phase detector to design ISPD PLL demodulator without using any filters

Abstract: This paper describes the design of the Inverse Sine Phase Detector (ISPD) by utilizing a new model more effective than the existing model in precision, simplicity, robustness, for use in the ISPD PLL Demodulator without using any filters. As the high frequency, the large bandwidth, the wide capture range and seizure range, the faster lockup time, and the perfect reconstruction of an input signal in the output demodulator, are of primary concern in the whole design. The development and the synthesis of the ISPD cell, based on the new model, show that a class of circuits in the voltage domain such as a multiplier, a square rooter, and adder, which can be used to realize an inverse sine function circuit. The circuit was simulated in a CMOS 0.35 μ m process technology. The ISPD PLL demodulator without using any filters was used to cover the UMTS/IMT2000.

On the Inequalities for the Generalized Trigonometric Functions

Abstract: This paper deals with Huygens-type and Wilker-type inequalities for the generalized trigonometric functions of P Lindqvist A major mathematical tool used in this work is a generalized version of the Schwab-Borchardt mean introduced recently by the author of this work

Two-dimensional inverse discrete cosine transform circuit and microprocessor realizing the same and method of implementing 8×8 two-dimensional inverse discrete cosine transform

Abstract: An 8×8 two-dimensional discrete inverse cosine transform circuit includes two row arithmetic sections each of which implement an 8-point one-dimensional inverse discrete cosine transform in a row direction, a replacement section which replaces the arithmetic results of the row arithmetic sections with replacement data, and two column arithmetic sections each of which receive parts of the replacement data from the replacement section and implement an 8-point one-dimensional inverse discrete cosine transform in a column direction. Each of the arithmetic sections include a 16-bit four parallel adder and subtracter and a 16-bit four parallel multiply-accumulate unit with polarity symmetric rounding function.

Radio direction finding beam angle determn. - uses measurement of sine and cosine of strongest signal to determine incidence angle

Abstract: The method automatically determines the angle of incidence of a radio direction finding beam. It determines the angle of two beam with the largest signal amplitude from more than one beam of quasi-coherent or incoherent light. The angle is derived from several measurement of sine and cosine which are summed to produce total sine or cosine values. The sine value is divided by the cosin value to produce an average tangent value and the arc tangent of this value is computed to produce the angle value.

Convex Meshfree Solutions for Arbitrary Waveguide Analysis in Electromagnetic Problems

Abstract: This paper presents a convex meshfree framework for solving the scalar Helmholtz equation in the waveguide analysis of electromagnetic problems. The generalized meshfree approximation (GMF) method using inverse tangent basis functions and cubic spline weight functions is employed to construct the flrst-order convex approximation which exhibits a weak Kronecker-delta property at the waveguide boundary and allows a direct enforcement of homogenous Dirichlet boundary conditions for the transverse magnetic (TM) mode analyses. Four arbitrary waveguide examples are analyzed to demonstrate the accuracy of the presented formulation, and comparison is made with the analytical, flnite element and meshfree solutions.