This paper investigates modelling of NTC thermistors using Steinhart-Hart equation for generic model generation and then parsing the same through the linearization algorithm based on Levenberg–Marquart back propagation technique with sigmoid activation function. The entire modelling and scripting of the linearization algorithm has been accomplished in the MATLAB paradigm. The results showcase s...

We present a new parallel algorithm for the fast generation of discrete Chebyshev polynomials. By fast we mean that the time complexity of the obtained parallel algorithm is of order O(logn), where n is the degree of the (n+1)st polynomial to be generated, and the number of available processors is assumed to be equal to a polynomial order of the input size. The parallel algorithm makes extensiv...

This paper is concerned with a formal linearization problem for a general class of nonlinear time-varying dynamic systems. To a given system, a linearization function is made up of Chebyshev polynomials about its state variables. The nonlinear time-varying system is transformed into a linear time-varying system in terms of the linearization function using Chebyshev interpolation to state variab...

We present five theorems concerning the asymptotic convergence rates of Chebyshev interpolation applied to functions transplanted to either a semi-infinite or an infinite interval under exponential or double-exponential transformations. This strategy is useful for approximating and computing with functions that are analytic apart from endpoint singularities. The use of Chebyshev polynomials ins...

The Lagrangian dispersion of fluid particles in inhomogeneous turbulence is investigated by a direct numerical simulation of turbulent channel flow. Lagrangian velocity and acceleration along a particle trajectory are computed by employing several interpolation schemes. Among the schemes tested, the four-point Hermite interpolation in the homogeneous directions combined with Chebyshev polynomia...

For a self-adjoint linear operator with discrete spectrum or a Hermitian matrix the “extreme” eigenvalues define the boundaries of clusters in the spectrum of real eigenvalues. The outer extreme ones are the largest and the smallest eigenvalues. If there are extended intervals in the spectrum in which no eigenvalues are present, the eigenvalues bounding these gaps are the inner extreme eigenval...

This paper presents an FPGA face detection embedded system. In order achieve acceleration in the face detection process a hardware-software codesign technique is proposed. The paper describes the face detection acceleration mechanism. It also describes the implementation of an IP module that allows hardware acceleration.