The frequency transfer functions are defined for sinusoidal inputs having all possible frequencies. They are obtained from (9.1) by simply setting , that is (9.1) Typical diagrams for the magnitude and phase of the open-loop frequency transfer function are presented in Figure 9.1. 1 0 (a) (b) ω cg ω cg ω cp ω ω ω cp-180 o 0 ¡ o 1/Gm G(jω)H(jω) arg ¢ G(jω)H(jω) Pm Figure 9.1: Magnitude (a) and p...

We consider a transmission wave equation in two embedded domains in R, where the speed is a1 > 0 in the inner domain and a2 > 0 in the outer domain. We prove a global Carleman inequality for this problem under the hypothesis that the inner domain is strictly convex and a1 > a2. As a consequence of this inequality, uniqueness and Lipschitz stability are obtained for the inverse problem of retrie...

In the always expanding field of biometrics the choice of which biometric modality or modalities to use, is a difficult one. While a particular biometric modality might offer superior discriminative properties (or be more stable over a longer period of time) when compared to another modality, the ease of its acquisition might be quite difficult in comparison. As such, the use of the human face ...

It is shown that a complex tone can be •nalyzed into its harmonics by adding to it a series of N -1 similar complex tones with uniformly spaced fundamental frequencies. The harmonics appear in a time-ordered sequence, and this is the basis of a computer music effect employed by composer Jean-Claude Risset. The mathematical derivation involves the summing of a geometric progression to form a slo...

rthogonal frequency division multiplexing (OFDM) has been recently adopted by major manufacturers and by standardization bodies for a wide range of wireless and wireline applications ranging from digital video/audio broadcasting to power-line communications. The major virtues of OFDM are 1) its resilience to multipath propagation providing a viable low-complexity and optimal (in the maximum lik...

In the present study, a spectral finite element method is developed for free and forced transverse vibration of Levy-type moderately thick rectangular orthotropic plates based on first-order shear deformation theory. Levy solution assumption was used to convert the two-dimensional problem into a one-dimensional problem. In the first step, the governing out-of-plane differential equations are tr...

It is well known that a capacity C is countably subadditive, i.e. We shall prove that the reverse inequality, up to a multiplicative constant, holds for some decomposition of E , provided there is a measure comparable to C. Such a property will be referred to as quasiadditivity. As an application, we shall show that the Green energy for a uniformly-regular domain is quasiadditive with respect t...

In this article, we define the notion of stable input–output negative imaginary (IONI) systems. This new class captures and unifies all existing subclasses (NI) systems is capable distinguishing between strict (e.g., strongly strictly imaginary, output (OSNI), input etc.) in literature. addition to a frequency-domain definition, proposed IONI has been characterized time-domain dissipative frame...

This paper presents a new method for evaluation and simulation of inrush current in various transformers using operational matrices and Hartley transform. Unlike most of the previous works, time and frequency domain calculations are conducted simultaneously. Mathematical equations are first represented to compute the inrush current based on reiteration and then Hartley transform is used to stud...