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68 relations: Aliasing, Amplitude, Analog-to-digital converter, Applied mathematics, Boxcar function, Capacitor, Causal system, Circulant matrix, Classical field theory, Complex number, Continuum (set theory), Control theory, Convolution, Cutoff frequency, Derivative, Differential equation, Digital image processing, Dirac delta function, Discrete time and continuous time, Discrete-time Fourier transform, Eigenfunction, Eigenvalues and eigenvectors, Electrical network, Exponential function, Filter bank, Finite impulse response, Fourier transform, Frequency domain, Frequency response, Green's function, Impulse response, Inductor, Infinite impulse response, Kronecker delta, Laplace transform, Linear map, Linear system, Linearity, Locus (mathematics), Low-pass filter, Lp space, Matrix (mathematics), MIMO, Nonlinear system, Nuclear magnetic resonance spectroscopy, Nyquist–Shannon sampling theorem, Phase (waves), Quadrature filter, Radius of convergence, Real number, ..., Resistor, Sampling (signal processing), Scalar (mathematics), Seismology, Signal processing, Signal-flow graph, Sinc function, Sine wave, Square-integrable function, System analysis, Time domain, Time-invariant system, Transfer function, Two-sided Laplace transform, Uniform norm, Unit circle, Wiener–Khinchin theorem, Z-transform. Expand index (18 more) »
Aliasing
In signal processing and related disciplines, aliasing is an effect that causes different signals to become indistinguishable (or aliases of one another) when sampled.
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Amplitude
The amplitude of a periodic variable is a measure of its change over a single period (such as time or spatial period).
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Analog-to-digital converter
In electronics, an analog-to-digital converter (ADC, A/D, or A-to-D) is a system that converts an analog signal, such as a sound picked up by a microphone or light entering a digital camera, into a digital signal.
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Applied mathematics
Applied mathematics is the application of mathematical methods by different fields such as science, engineering, business, computer science, and industry.
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Boxcar function
In mathematics, a boxcar function is any function which is zero over the entire real line except for a single interval where it is equal to a constant, A. The boxcar function can be expressed in terms of the uniform distribution as where f(a,b;x) is the uniform distribution of x for the interval and H(x) is the Heaviside step function.
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Capacitor
A capacitor is a passive two-terminal electrical component that stores potential energy in an electric field.
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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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Circulant matrix
In linear algebra, a circulant matrix is a special kind of Toeplitz matrix where each row vector is rotated one element to the right relative to the preceding row vector.
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Classical field theory
A classical field theory is a physical theory that predicts how one or more physical fields interact with matter through field equations.
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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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Continuum (set theory)
In the mathematical field of set theory, the continuum means the real numbers, or the corresponding (infinite) cardinal number, \mathfrak.
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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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Cutoff frequency
In physics and electrical engineering, a cutoff frequency, corner frequency, or break frequency is a boundary in a system's frequency response at which energy flowing through the system begins to be reduced (attenuated or reflected) rather than passing through.
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Derivative
The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
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Differential equation
A differential equation is a mathematical equation that relates some function with its derivatives.
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Digital image processing
In computer science, Digital image processing is the use of computer algorithms to perform image processing on digital images.
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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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Eigenfunction
In mathematics, an eigenfunction of a linear operator D defined on some function space is any non-zero function f in that space that, when acted upon by D, is only multiplied by some scaling factor called an eigenvalue.
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Eigenvalues and eigenvectors
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.
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Electrical network
An electrical network is an interconnection of electrical components (e.g. batteries, resistors, inductors, capacitors, switches) or a model of such an interconnection, consisting of electrical elements (e.g. voltage sources, current sources, resistances, inductances, capacitances).
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Exponential function
In mathematics, an exponential function is a function of the form in which the argument occurs as an exponent.
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Filter bank
In signal processing, a filter bank is an array of band-pass filters that separates the input signal into multiple components, each one carrying a single frequency sub-band of the original signal.
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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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Green's function
In mathematics, a Green's function is the impulse response of an inhomogeneous linear differential equation defined on a domain, with specified initial conditions or boundary conditions.
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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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Inductor
An inductor, also called a coil, choke or reactor, is a passive two-terminal electrical component that stores energy in a magnetic field when electric current flows through it.
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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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Kronecker delta
In mathematics, the Kronecker delta (named after Leopold Kronecker) is a function of two variables, usually just non-negative integers.
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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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Linear map
In mathematics, a linear map (also called a linear mapping, linear transformation or, in some contexts, linear function) is a mapping between two modules (including vector spaces) that preserves (in the sense defined below) the operations of addition and scalar multiplication.
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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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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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Locus (mathematics)
In geometry, a locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.
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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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Lp space
In mathematics, the Lp spaces are function spaces defined using a natural generalization of the ''p''-norm for finite-dimensional vector spaces.
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Matrix (mathematics)
In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
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MIMO
In radio, multiple-input and multiple-output, or MIMO (pronounced or), is a method for multiplying the capacity of a radio link using multiple transmit and receive antennas to exploit multipath propagation.
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Nonlinear system
In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input.
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Nuclear magnetic resonance spectroscopy
Nuclear magnetic resonance spectroscopy, most commonly known as NMR spectroscopy or magnetic resonance spectroscopy (MRS), is a spectroscopic technique to observe local magnetic fields around atomic nuclei.
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Nyquist–Shannon sampling theorem
In the field of digital signal processing, the sampling theorem is a fundamental bridge between continuous-time signals (often called "analog signals") and discrete-time signals (often called "digital signals").
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Phase (waves)
Phase is the position of a point in time (an instant) on a waveform cycle.
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Quadrature filter
In signal processing, a quadrature filter q(t) is the analytic representation of the impulse response f(t) of a real-valued filter: q(t).
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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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Resistor
A resistor is a passive two-terminal electrical component that implements electrical resistance as a circuit element.
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Sampling (signal processing)
In signal processing, sampling is the reduction of a continuous-time signal to a discrete-time signal.
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Scalar (mathematics)
A scalar is an element of a field which is used to define a vector space.
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Seismology
Seismology (from Ancient Greek σεισμός (seismós) meaning "earthquake" and -λογία (-logía) meaning "study of") is the scientific study of earthquakes and the propagation of elastic waves through the Earth or through other planet-like bodies.
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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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Signal-flow graph
A signal-flow graph or signal-flowgraph (SFG), invented by Claude Shannon, but often called a Mason graph after Samuel Jefferson Mason who coined the term, is a specialized flow graph, a directed graph in which nodes represent system variables, and branches (edges, arcs, or arrows) represent functional connections between pairs of nodes.
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Sinc function
In mathematics, physics and engineering, the cardinal sine function or sinc function, denoted by, has two slightly different definitions.
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Sine wave
A sine wave or sinusoid is a mathematical curve that describes a smooth periodic oscillation.
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Square-integrable function
In mathematics, a square-integrable function, also called a quadratically integrable function, is a real- or complex-valued measurable function for which the integral of the square of the absolute value is finite.
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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 domain
Time domain is the analysis of mathematical functions, physical signals or time series of economic or environmental data, with respect to time.
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Time-invariant system
A time-invariant (TIV) system has a time-dependent system function that is not a direct function of time.
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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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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.
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Uniform norm
In mathematical analysis, the uniform norm (or sup norm) assigns to real- or complex-valued bounded functions f defined on a set S the non-negative number This norm is also called the supremum norm, the Chebyshev norm, or the infinity norm. The name "uniform norm" derives from the fact that a sequence of functions \ converges to f under the metric derived from the uniform norm if and only if f_n converges to f uniformly.
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Unit circle
In mathematics, a unit circle is a circle with a radius of one.
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Wiener–Khinchin theorem
In applied mathematics, the Wiener–Khinchin theorem, also known as the Wiener–Khintchine theorem and sometimes as the Wiener–Khinchin–Einstein theorem or the Khinchin–Kolmogorov theorem, states that the autocorrelation function of a wide-sense-stationary random process has a spectral decomposition given by the power spectrum of that process.
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Z-transform
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.
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LTI system, LTI system theory, LTI systems, Linear time invariant, Linear time-invariant, Linear time-invariant system, Lti system theory.
References
[1] https://en.wikipedia.org/wiki/Linear_time-invariant_theory
