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Linear time-invariant theory and Z-transform

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Linear time-invariant theory and Z-transform

Linear time-invariant theory vs. Z-transform

Linear time-invariant theory, commonly known as LTI system theory, comes from applied mathematics and has direct applications in NMR spectroscopy, seismology, circuits, signal processing, control theory, and other technical areas. In mathematics and signal processing, the Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex frequency domain representation.

Similarities between Linear time-invariant theory and Z-transform

Linear time-invariant theory and Z-transform have 19 things in common (in Unionpedia): Causal system, Complex number, Convolution, Dirac delta function, Discrete time and continuous time, Discrete-time Fourier transform, Finite impulse response, Fourier transform, Frequency domain, Frequency response, Impulse response, Laplace transform, Linearity, Radius of convergence, Real number, Signal processing, Transfer function, Two-sided Laplace transform, Unit circle.

Causal system

In control theory, a causal system (also known as a physical or nonanticipative system) is a system where the output depends on past and current inputs but not future inputs—i.e., the output y(t_) depends on only the input x(t) for values of t \le t_.

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Complex number

A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.

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Convolution

In mathematics (and, in particular, functional analysis) convolution is a mathematical operation on two functions (f and g) to produce a third function, that is typically viewed as a modified version of one of the original functions, giving the integral of the pointwise multiplication of the two functions as a function of the amount that one of the original functions is translated.

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Dirac delta function

In mathematics, the Dirac delta function (function) is a generalized function or distribution introduced by the physicist Paul Dirac.

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Discrete time and continuous time

In mathematics and in particular mathematical dynamics, discrete time and continuous time are two alternative frameworks within which to model variables that evolve over time.

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Discrete-time Fourier transform

In mathematics, the discrete-time Fourier transform (DTFT) is a form of Fourier analysis that is applicable to the uniformly-spaced samples of a continuous function.

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Finite impulse response

In signal processing, a finite impulse response (FIR) filter is a filter whose impulse response (or response to any finite length input) is of finite duration, because it settles to zero in finite time.

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Fourier transform

The Fourier transform (FT) decomposes a function of time (a signal) into the frequencies that make it up, in a way similar to how a musical chord can be expressed as the frequencies (or pitches) of its constituent notes.

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Frequency domain

In electronics, control systems engineering, and statistics, the frequency domain refers to the analysis of mathematical functions or signals with respect to frequency, rather than time.

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Frequency response

Frequency response is the quantitative measure of the output spectrum of a system or device in response to a stimulus, and is used to characterize the dynamics of the system.

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Impulse response

In signal processing, the impulse response, or impulse response function (IRF), of a dynamic system is its output when presented with a brief input signal, called an impulse.

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Laplace transform

In mathematics, the Laplace transform is an integral transform named after its discoverer Pierre-Simon Laplace.

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Linearity

Linearity is the property of a mathematical relationship or function which means that it can be graphically represented as a straight line.

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Radius of convergence

In mathematics, the radius of convergence of a power series is the radius of the largest disk in which the series converges.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Signal processing

Signal processing concerns the analysis, synthesis, and modification of signals, which are broadly defined as functions conveying "information about the behavior or attributes of some phenomenon", such as sound, images, and biological measurements.

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Transfer function

In engineering, a transfer function (also known as system function or network function) of an electronic or control system component is a mathematical function giving the corresponding output value for each possible value of the input to the device.

Linear time-invariant theory and Transfer function · Transfer function and Z-transform · See more »

Two-sided Laplace transform

In mathematics, the two-sided Laplace transform or bilateral Laplace transform is an integral transform equivalent to probability's moment generating function.

Linear time-invariant theory and Two-sided Laplace transform · Two-sided Laplace transform and Z-transform · See more »

Unit circle

In mathematics, a unit circle is a circle with a radius of one.

Linear time-invariant theory and Unit circle · Unit circle and Z-transform · See more »

The list above answers the following questions

Linear time-invariant theory and Z-transform Comparison

Linear time-invariant theory has 68 relations, while Z-transform has 67. As they have in common 19, the Jaccard index is 14.07% = 19 / (68 + 67).

References

This article shows the relationship between Linear time-invariant theory and Z-transform. To access each article from which the information was extracted, please visit:

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