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Time-domain approximations to the Grünwald-Letnikov difference with application to modeling of fractional-order state space systems
2015 Edition, August 1, 2015 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper presents a general, modified framework for various time-domain approximations to the Grünwald-Letnikov fractional difference, namely finite fractional and Laguerre-based differences. The approximations...

Fourier Series Time Domain Approximation
1960 Edition, Volume 7, August 1, 1960 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper presents a new method of approximation to the time domain function corresponding to a given completely stable system function. An approximate Fourier series is found for the time doma3n function such that the...

Time-domain Oustaloup approximation
2015 Edition, August 1, 2015 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

Paper presents a new method for implementing Oustaloup approximation of non-integer order systems in digital environment. Classical method and its limitations are presented and discussed. Method of realization is formulated and schemes for discretization are...

Time-Domain Approximation by Iterative Methods
1966 Edition, Volume 13, December 1, 1966 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

An iterative procedure is presented which permits the determination of a rational transfer function in the Laplace transform variable s which is optimal with respect to given input and output time-functions. The optimal system of a...

On Time-Domain Approximation using Multilayer RC Distributed Networks
1973 Edition, Volume 20, January 1, 1973 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

An optimal method is proposed for approximating any square integrable time function by the impulse response of a multilayer RC distributed network. The performance index to be minimized is the square integral error. The method results in achieving,...

A simultaneous frequency and time-domain approximation method for discrete-time filters
1984 Edition, Volume 31, December 1, 1984 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

A simultaneous frequency- and time-domain approximation method for discrete-time filters is proposed in this paper. In the proposed method, transfer function coefficients are divided into two subsets, X_{1} and X_{2} , which are employed for optimizing a...

All-Pole Delay Networks-A Time Domain Approximation
1964 Edition, Volume 11, September 1, 1964 - IEEE - Institute of Electrical and Electronics Engineers, Inc.
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A Time Domain Approximation Method and Its Application to Lumped Delay Lines
1962 Edition, Volume 9, September 1, 1962 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper presents a method of time domain approximation employing trigonometric polynomials. The result is in the form of a realizable rational function of the complex frequency variable. A simple procedure is given to...

Time Domain Approximations and an Active Network Realization of Transfer Functions Derived from Ideal Filters
1968 Edition, Volume 15, September 1, 1968 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

Rational polynomial Laplace transform approximations for truncated versions of \sin (kt + b)/(kt + b) are produced by use of a nonlinear programming technique designed to help avoid the usual false minimum problems. An economical network synthesis technique for...

Cyclic time domain successive approximation time-to-digital converter (TDC) with sub-ps-level resolution
2011 Edition, May 1, 2011 - IEEE - Institute of Electrical and Electronics Engineers, Inc.

This paper describes a cyclic time domain successive approximation (CTDSA) architecture that can be used as an interpolator in a time-to-digital converter (TDC). The new architecture of the CTDSA achieves adjustable sub-ps-level resolution...

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