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92 relations: Advanced z-transform, Algebraic signal processing, All-pass filter, Autocorrelation, BIBO stability, Bilinear transform, Chirp Z-transform, Comb filter, Complementary sequences, Complex plane, Control engineering, Control theory, Convolution, Convolutional code, Dead-beat control, Decimation (signal processing), Digital biquad filter, Digital control, Digital delay line, Digital filter, Digital signal processing, Discrete Fourier transform, Discrete Laplace operator, Discrete system, Discrete transform, Discrete-time Fourier transform, Distributed parameter system, Electronic engineering, Fast wavelet transform, Final value theorem, Finite impulse response, Fourier series, Fractional Fourier transform, Frequency domain, Fu Foundation School of Engineering and Applied Science, Generating function, Glossary of electrical and electronics engineering, Goertzel algorithm, Gradshteyn and Ryzhik, Index of electrical engineering articles, Index of electronics articles, Infinite impulse response, John R. Ragazzini, Karplus–Strong string synthesis, Lag operator, Laplace transform, Laurent series, Linear filter, Linear system, Linear time-invariant theory, ..., List of Fourier-related transforms, List of people in systems and control, List of statistics articles, List of transforms, Lotfi A. Zadeh, Low-pass filter, Matched Z-transform method, Mathematical methods in electronics, Minimum phase, Multidimensional filter design and implementation, Network synthesis filters, Non-uniform discrete Fourier transform, Nonlinear control, Orthogonal wavelet, Outline of control engineering, Outline of electrical engineering, Pole–zero plot, Polyphase matrix, Power series, Probability-generating function, Pulse-density modulation, Quantitative feedback theory, Rankings of universities in the United Kingdom, Rational function, Recurrence relation, Root locus, S-plane, Scrambler, Spline wavelet, Starred transform, State-space representation, System analysis, Time-scale calculus, Transfer function, Transfer function matrix, Transform theory, Unit circle, Upsampling, Z-plane, Zeta function regularization, 2D Filters, 2D Z-transform. Expand index (42 more) »
Advanced z-transform
In mathematics and signal processing, the advanced z-transform is an extension of the z-transform, to incorporate ideal delays that are not multiples of the sampling time.
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Algebraic signal processing
In the algebraic theory of linear signal processing, a set of filters is treated as an algebra and a set of signals is treated as a module and the z-transform is generalized to linear maps.
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All-pass filter
An all-pass filter is a signal processing filter that passes all frequencies equally in gain, but changes the phase relationship among various frequencies.
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Autocorrelation
Autocorrelation, also known as serial correlation, is the correlation of a signal with a delayed copy of itself as a function of delay.
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BIBO stability
In signal processing, specifically control theory, bounded-input, bounded-output (BIBO) stability is a form of stability for linear signals and systems that take inputs.
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Bilinear transform
The bilinear transform (also known as Tustin's method) is used in digital signal processing and discrete-time control theory to transform continuous-time system representations to discrete-time and vice versa.
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Chirp Z-transform
The Chirp Z-transform (CZT) is a generalization of the discrete Fourier transform.
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Comb filter
In signal processing, a comb filter is a filter implemented by adding a delayed version of a signal to itself, causing constructive and destructive interference.
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Complementary sequences
In applied mathematics, complementary sequences (CS) are pairs of sequences with the useful property that their out-of-phase aperiodic autocorrelation coefficients sum to zero.
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Complex plane
In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the perpendicular imaginary axis.
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Control engineering
Control engineering or control systems engineering is an engineering discipline that applies automatic control theory to design systems with desired behaviors in control environments.
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Control theory
Control theory in control systems engineering deals with the control of continuously operating dynamical systems in engineered processes and machines.
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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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Convolutional code
In telecommunication, a convolutional code is a type of error-correcting code that generates parity symbols via the sliding application of a boolean polynomial function to a data stream.
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Dead-beat control
In discrete-time control theory, the dead-beat control problem consists of finding what input signal must be applied to a system in order to bring the output to the steady state in the smallest number of time steps.
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Decimation (signal processing)
In digital signal processing, decimation is the process of reducing the sampling rate of a signal.
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Digital biquad filter
In signal processing, a digital biquad filter is a second-order recursive linear filter, containing two poles and two zeros.
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Digital control
Digital control is a branch of control theory that uses digital computers to act as system controllers.
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Digital delay line
A digital delay line is a discrete element in digital filter theory, which allows a signal to be delayed by a number of samples.
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Digital filter
In signal processing, a digital filter is a system that performs mathematical operations on a sampled, discrete-time signal to reduce or enhance certain aspects of that signal.
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Digital signal processing
Digital signal processing (DSP) is the use of digital processing, such as by computers or more specialized digital signal processors, to perform a wide variety of signal processing operations.
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Discrete Fourier transform
In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency.
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Discrete Laplace operator
In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid.
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Discrete system
A discrete system is a system with a countable number of states.
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Discrete transform
In signal processing, discrete transforms are mathematical transforms, often linear transforms, of signals between discrete domains, such as between discrete time and discrete frequency.
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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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Distributed parameter system
A distributed parameter system (as opposed to a lumped parameter system) is a system whose state space is infinite-dimensional.
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Electronic engineering
Electronic engineering (also called electronics and communications engineering) is an electrical engineering discipline which utilizes nonlinear and active electrical components (such as semiconductor devices, especially transistors, diodes and integrated circuits) to design electronic circuits, devices, VLSI devices and their systems.
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Fast wavelet transform
The Fast Wavelet Transform is a mathematical algorithm designed to turn a waveform or signal in the time domain into a sequence of coefficients based on an orthogonal basis of small finite waves, or wavelets.
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Final value theorem
In mathematical analysis, the final value theorem (FVT) is one of several similar theorems used to relate frequency domain expressions to the time domain behavior as time approaches infinity.
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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 series
In mathematics, a Fourier series is a way to represent a function as the sum of simple sine waves.
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Fractional Fourier transform
In mathematics, in the area of harmonic analysis, the fractional Fourier transform (FRFT) is a family of linear transformations generalizing the Fourier transform.
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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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Fu Foundation School of Engineering and Applied Science
The Fu Foundation School of Engineering and Applied Science (popularly known as SEAS or Columbia Engineering) is the engineering and applied science school of Columbia University.
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Generating function
In mathematics, a generating function is a way of encoding an infinite sequence of numbers (an) by treating them as the coefficients of a power series.
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Glossary of electrical and electronics engineering
Most of the terms listed in Wikipedia glossaries are already defined and explained within Wikipedia itself.
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Goertzel algorithm
The Goertzel algorithm is a technique in digital signal processing (DSP) that provides a means for efficient evaluation of individual terms of the discrete Fourier transform (DFT), thus making it useful in certain practical applications, such as recognition of DTMF tones produced by the buttons pushed on a telephone keypad.
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Gradshteyn and Ryzhik
Gradshteyn and Ryzhik (GR) is the informal name of a comprehensive table of integrals originally compiled by the Russian mathematicians I. S. Gradshteyn and I. M. Ryzhik.
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Index of electrical engineering articles
This is an alphabetical list of articles pertaining specifically to electrical and electronics engineering.
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Index of electronics articles
This is an index of articles relating to electronics and electricity or natural electricity and things that run on electricity and things that use or conduct electricity.
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Infinite impulse response
Infinite impulse response (IIR) is a property applying to many linear time-invariant systems.
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John R. Ragazzini
John Ralph Ragazzini (January 3, 1912 – November 22, 1988) was an American electrical engineer and a professor of Electrical Engineering.
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Karplus–Strong string synthesis
Karplus–Strong string synthesis is a method of physical modelling synthesis that loops a short waveform through a filtered delay line to simulate the sound of a hammered or plucked string or some types of percussion.
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Lag operator
In time series analysis, the lag operator (L) or backshift operator (B) operates on an element of a time series to produce the previous element.
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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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Laurent series
In mathematics, the Laurent series of a complex function f(z) is a representation of that function as a power series which includes terms of negative degree.
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Linear filter
Linear filters process time-varying input signals to produce output signals, subject to the constraint of linearity.
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Linear system
A linear system is a mathematical model of a system based on the use of a linear operator.
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Linear time-invariant theory
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.
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List of Fourier-related transforms
This is a list of linear transformations of functions related to Fourier analysis.
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List of people in systems and control
This is an alphabetical list of people who have made significant contributions in the fields of system analysis and control theory.
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List of statistics articles
No description.
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List of transforms
This is a list of transforms in mathematics.
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Lotfi A. Zadeh
Lotfi Aliasker Zadeh (Lütfəli Rəhim oğlu Ələsgərzadə; لطفی علیعسگرزاده; February 4, 1921 – September 6, 2017) was a mathematician, computer scientist, electrical engineer, artificial intelligence researcher and professor emeritus of computer science at the University of California, Berkeley.
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Low-pass filter
A low-pass filter (LPF) is a filter that passes signals with a frequency lower than a certain cutoff frequency and attenuates signals with frequencies higher than the cutoff frequency.
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Matched Z-transform method
The matched Z-transform method, also called the pole–zero mapping or pole–zero matching method, and abbreviated MPZ or MZT, is a technique for converting a continuous-time filter design to a discrete-time filter (digital filter) design.
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Mathematical methods in electronics
Mathematical methods are integral to the study of electronics.
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Minimum phase
In control theory and signal processing, a linear, time-invariant system is said to be minimum-phase if the system and its inverse are causal and stable.
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Multidimensional filter design and implementation
Many concepts in one–dimensional signal processing are similar to concepts in multidimensional signal processing.
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Network synthesis filters
Network synthesis is a method of designing signal processing filters.
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Non-uniform discrete Fourier transform
In applied mathematics, the nonuniform discrete Fourier transform (NUDFT or NDFT) of a signal is a type of Fourier transform, related to a discrete Fourier transform or discrete-time Fourier transform, but in which the input signal is not sampled at equally spaced points or frequencies (or both).
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Nonlinear control
Nonlinear control theory is the area of control theory which deals with systems that are nonlinear, time-variant, or both.
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Orthogonal wavelet
An orthogonal wavelet is a wavelet whose associated wavelet transform is orthogonal.
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Outline of control engineering
The following outline is provided as an overview of and topical guide to control engineering: Control engineering – engineering discipline that applies control theory to design systems with desired behaviors.
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Outline of electrical engineering
The following outline is provided as an overview of and topical guide to electrical engineering.
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Pole–zero plot
In mathematics, signal processing and control theory, a pole–zero plot is a graphical representation of a rational transfer function in the complex plane which helps to convey certain properties of the system such as.
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Polyphase matrix
In signal processing, a polyphase matrix is a matrix whose elements are filter masks.
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Power series
In mathematics, a power series (in one variable) is an infinite series of the form where an represents the coefficient of the nth term and c is a constant.
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Probability-generating function
In probability theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of the probability mass function of the random variable.
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Pulse-density modulation
Pulse-density modulation, or PDM, is a form of modulation used to represent an analog signal with a binary signal.
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Quantitative feedback theory
In control theory, quantitative feedback theory (QFT), developed by Isaac Horowitz (Horowitz, 1963; Horowitz and Sidi, 1972), is a frequency domain technique utilising the Nichols chart (NC) in order to achieve a desired robust design over a specified region of plant uncertainty.
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Rankings of universities in the United Kingdom
Three national rankings of universities in the United Kingdom are published annually – by The Complete University Guide, The Guardian and jointly by The Times and The Sunday Times.
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Rational function
In mathematics, a rational function is any function which can be defined by a rational fraction, i.e. an algebraic fraction such that both the numerator and the denominator are polynomials.
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Recurrence relation
In mathematics, a recurrence relation is an equation that recursively defines a sequence or multidimensional array of values, once one or more initial terms are given: each further term of the sequence or array is defined as a function of the preceding terms.
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Root locus
In control theory and stability theory, root locus analysis is a graphical method for examining how the roots of a system change with variation of a certain system parameter, commonly a gain within a feedback system.
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S-plane
In mathematics and engineering, the s-plane is the complex plane on which Laplace transforms are graphed.
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Scrambler
In telecommunications, a scrambler is a device that transposes or inverts signals or otherwise encodes a message at the sender's side to make the message unintelligible at a receiver not equipped with an appropriately set descrambling device.
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Spline wavelet
In the mathematical theory of wavelets, a spline wavelet is a wavelet constructed using a spline function.
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Starred transform
In applied mathematics, the starred transform, or star transform, is a discrete-time variation of the Laplace transform, so-named because of the asterisk or "star" in the customary notation of the sampled signals.
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State-space representation
In control engineering, a state-space representation is a mathematical model of a physical system as a set of input, output and state variables related by first-order differential equations or difference equations.
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System analysis
System analysis in the field of electrical engineering that characterizes electrical systems and their properties.
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Time-scale calculus
In mathematics, time-scale calculus is a unification of the theory of difference equations with that of differential equations, unifying integral and differential calculus with the calculus of finite differences, offering a formalism for studying hybrid discrete–continuous dynamical systems.
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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.
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Transfer function matrix
In control system theory, and various branches of engineering, a transfer function matrix, or just transfer matrix is a generalisation of the transfer functions of single-input single-output (SISO) systems to multiple-input and multiple-output (MIMO) systems.
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Transform theory
In mathematics, transform theory is the study of transforms.
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Unit circle
In mathematics, a unit circle is a circle with a radius of one.
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Upsampling
In digital signal processing, upsampling can refer to the entire process of increasing the sampling rate of a signal, or it can refer to just one step of the process, the other step being interpolation.
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Z-plane
Z-plane may refer to.
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Zeta function regularization
In mathematics and theoretical physics, zeta function regularization is a type of regularization or summability method that assigns finite values to divergent sums or products, and in particular can be used to define determinants and traces of some self-adjoint operators.
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2D Filters
Two dimensional filters have seen substantial development effort due to their importance and high applicability across several domains.
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2D Z-transform
The 2D Z-transform, similar to the Z-transform, is used in Multidimensional signal processing to relate a two-dimensional discrete-time signal to the complex frequency domain in which the 2D surface in 4D space that the Fourier Transform lies on is known as the unit surface or unit bicircle.
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Redirects here:
Bilateral Z-transform, Bilateral z-transform, Laurent transform, Z Transform, Z transform, Z-domain, Z-transformation.
References
[1] https://en.wikipedia.org/wiki/Z-transform
