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26 relations: Argument (complex analysis), Bilinear time–frequency distribution, Continuous wavelet transform, Convex set, Eugene Wigner, Fourier transform, Fractional Fourier transform, Frequency, Function (mathematics), Harmonic wavelet transform, Linear canonical transformation, Linear map, Magnitude (mathematics), Quadratic function, Quantum mechanics, Reassignment method, Root mean square, Scaleogram, Short-time Fourier transform, Signal processing, Spectrogram, Stationary phase approximation, Symplectic vector space, Time–frequency analysis, Time–frequency analysis for music signals, Wigner quasiprobability distribution.
Argument (complex analysis)
In mathematics, the argument is a multi-valued function operating on the nonzero complex numbers.
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Bilinear time–frequency distribution
Bilinear time–frequency distributions, or quadratic time–frequency distributions, arise in a sub-field of signal analysis and signal processing called time–frequency signal processing, and, in the statistical analysis of time series data.
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Continuous wavelet transform
In mathematics, a continuous wavelet transform (CWT) is used to divide a continuous-time function into wavelets.
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Convex set
In convex geometry, a convex set is a subset of an affine space that is closed under convex combinations.
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Eugene Wigner
Eugene Paul "E.
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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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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
Frequency is the number of occurrences of a repeating event per unit of time.
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Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
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Harmonic wavelet transform
In the mathematics of signal processing, the harmonic wavelet transform, introduced by David Edward Newland in 1993, is a wavelet-based linear transformation of a given function into a time-frequency representation.
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Linear canonical transformation
In Hamiltonian mechanics, the linear canonical transformation (LCT) is a family of integral transforms that generalizes many classical transforms.
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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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Magnitude (mathematics)
In mathematics, magnitude is the size of a mathematical object, a property which determines whether the object is larger or smaller than other objects of the same kind.
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Quadratic function
In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function in one or more variables in which the highest-degree term is of the second degree.
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Quantum mechanics
Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.
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Reassignment method
The method of reassignment is a technique for sharpening a time-frequency representation by mapping the data to time-frequency coordinates that are nearer to the true region of support of the analyzed signal.
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Root mean square
In statistics and its applications, the root mean square (abbreviated RMS or rms) is defined as the square root of the mean square (the arithmetic mean of the squares of a set of numbers).
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Scaleogram
In signal processing, a scaleogram or scalogram is a visual method of displaying a wavelet transform.
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Short-time Fourier transform
The short-time Fourier transform (STFT), is a Fourier-related transform used to determine the sinusoidal frequency and phase content of local sections of a signal as it changes over time.
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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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Spectrogram
A spectrogram is a visual representation of the spectrum of frequencies of sound or other signal as they vary with time.
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Stationary phase approximation
In mathematics, the stationary phase approximation is a basic principle of asymptotic analysis, applying to oscillatory integrals taken over n-dimensional space ℝn where i is the imaginary unit.
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Symplectic vector space
In mathematics, a symplectic vector space is a vector space V over a field F (for example the real numbers R) equipped with a symplectic bilinear form.
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Time–frequency analysis
In signal processing, time–frequency analysis comprises those techniques that study a signal in both the time and frequency domains simultaneously, using various time–frequency representations.
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Time–frequency analysis for music signals
Time–frequency analysis for music signals is one of the applications of time–frequency analysis.
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Wigner quasiprobability distribution
The Wigner quasiprobability distribution (also called the Wigner function or the Wigner–Ville distribution after Eugene Wigner and Jean-André Ville) is a quasiprobability distribution.
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References
[1] https://en.wikipedia.org/wiki/Time–frequency_representation
