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Wigner Distribution Function
The Wigner distribution function (WDF) is used in signal processing as a transform in time-frequency analysis. The WDF was first proposed in physics to account for quantum corrections to classical statistical mechanics in 1932 by Eugene Wigner, and it is of importance in quantum mechanics in phase space (see, by way of comparison: ''Wigner quasi-probability distribution'', also called the ''Wigner function'' or the ''Wigner–Ville distribution''). Given the shared algebraic structure between position-momentum and time-frequency conjugate pairs, it also usefully serves in signal processing, as a transform in time-frequency analysis, the subject of this article. Compared to a short-time Fourier transform, such as the Gabor transform, the Wigner distribution function provides the highest possible temporal vs frequency resolution which is mathematically possible within the limitations of the uncertainty principle. The downside is the introduction of large cross terms between every ...
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Winger Ville Vs FIR Bank Sonogram
Winger may refer to: * Winger (surname), a list of people so named * Winger (band), an American hard rock band ** Winger (album), ''Winger'' (album), the band's self-titled debut album * Winger (novel), ''Winger'' (novel), a 2013 book by Andrew Smith * Winger (sports), a position on the extreme left and right sides in many sports ** Winger (association football) ** Winger (ice hockey) ** Rugby league positions#Wing, Winger (rugby league) ** Rugby union positions#Wing, Winger (rugby union) * Winger (webcomic), ''Winger'' (webcomic) * Winger, Minnesota, a city in the United States * Winger Township, Polk County, Minnesota * Tata Winger, a van produced by Tata Motors * a recurring character in the Garrett P.I. fantasy book series {{Disambiguation ...
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Modified Wigner Distribution Function
:''Note: the Wigner distribution function is abbreviated here as WD rather than WDF as used at Wigner distribution function'' A Modified Wigner distribution function is a variation of the Wigner distribution function (WD) with reduced or removed cross-terms. The Wigner distribution (WD) was first proposed for corrections to classical statistical mechanics in 1932 by Eugene Wigner. The Wigner distribution function, or Wigner–Ville distribution (WVD) for analytic signals, also has applications in time frequency analysis. The Wigner distribution gives better auto term localisation compared to the smeared out spectrogram (SP). However, when applied to a signal with multi frequency components, cross terms appear due to its quadratic nature. Several methods have been proposed to reduce the cross terms. For example, in 1994 L. Stankovic proposed a novel technique, now mostly referred to as S-method, resulting in the reduction or removal of cross terms. The concept of the S-method i ...
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Autocorrelation
Autocorrelation, sometimes known as serial correlation in the discrete time case, is the correlation of a signal with a delayed copy of itself as a function of delay. Informally, it is the similarity between observations of a random variable as a function of the time lag between them. The analysis of autocorrelation is a mathematical tool for finding repeating patterns, such as the presence of a periodic signal obscured by noise, or identifying the missing fundamental frequency in a signal implied by its harmonic frequencies. It is often used in signal processing for analyzing functions or series of values, such as time domain signals. Different fields of study define autocorrelation differently, and not all of these definitions are equivalent. In some fields, the term is used interchangeably with autocovariance. Unit root processes, trend-stationary processes, autoregressive processes, and moving average processes are specific forms of processes with autocorrelation. A ...
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Spectrogram
A spectrogram is a visual representation of the spectrum of frequencies of a signal as it varies with time. When applied to an audio signal, spectrograms are sometimes called sonographs, voiceprints, or voicegrams. When the data are represented in a 3D plot they may be called ''waterfall displays''. Spectrograms are used extensively in the fields of music, linguistics, sonar, radar, speech processing, seismology, and others. Spectrograms of audio can be used to identify spoken words phonetically, and to analyse the various calls of animals. A spectrogram can be generated by an optical spectrometer, a bank of band-pass filters, by Fourier transform or by a wavelet transform (in which case it is also known as a scaleogram or scalogram). A spectrogram is usually depicted as a heat map, i.e., as an image with the intensity shown by varying the colour or brightness. Format A common format is a graph with two geometric dimensions: one axis represents time, and the other axis r ...
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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. In practice, the procedure for computing STFTs is to divide a longer time signal into shorter segments of equal length and then compute the Fourier transform separately on each shorter segment. This reveals the Fourier spectrum on each shorter segment. One then usually plots the changing spectra as a function of time, known as a spectrogram or waterfall plot, such as commonly used in software defined radio (SDR) based spectrum displays. Full bandwidth displays covering the whole range of an SDR commonly use fast Fourier transforms (FFTs) with 2^24 points on desktop computers. Forward STFT Continuous-time STFT Simply, in the continuous-time case, the function to be transformed is multiplied by a window function which is nonzero for only a short period of time. The Fourier transform (a o ...
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CCT 2
CCT may refer to: Computation * Computational complexity theory * Computer-Controlled Teletext, an electronic circuit, see Teletext * Internet Computer Chess Tournament Economics * Compulsory Competitive Tendering, see Best value * Conditional cash transfer * Currency Carry Trade, see Carry (investment) Education * Center for Computation and Technology at Louisiana State University, USA * Clarkson College of Technology, the original name of Clarkson University * Communication, Culture & Technology, M.A. program at Georgetown University * College of Ceramic Technology at Kolkata, India * Centre for Converging Technologies, University of Rajasthan at Jaipur, India * Cisco Certified Technician, an IT certification from Cisco Systems Government * Congo Chine Télécoms, now Orange RDC, a company of the Democratic Republic of the Congo * Constitutional Court of Thailand * United States Air Force Combat Control Team Medicine and psychology * Caring Cancer Trust * Certificate ...
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CCT 1
CCT may refer to: Computation * Computational complexity theory * Computer-Controlled Teletext, an electronic circuit, see Teletext * Internet Computer Chess Tournament Economics * Compulsory Competitive Tendering, see Best value * Conditional cash transfer * Currency Carry Trade, see Carry (investment) Education * Center for Computation and Technology at Louisiana State University, USA * Clarkson College of Technology, the original name of Clarkson University * Communication, Culture & Technology, M.A. program at Georgetown University * College of Ceramic Technology at Kolkata, India * Centre for Converging Technologies, University of Rajasthan at Jaipur, India * Cisco Certified Technician, an IT certification from Cisco Systems Government * Congo Chine Télécoms, now Orange RDC, a company of the Democratic Republic of the Congo * Constitutional Court of Thailand * United States Air Force Combat Control Team Medicine and psychology * Caring Cancer Trust * Certificate ...
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CCT 3
CCT may refer to: Computation * Computational complexity theory * Computer-Controlled Teletext, an electronic circuit, see Teletext * Internet Computer Chess Tournament Economics * Compulsory Competitive Tendering, see Best value * Conditional cash transfer * Currency Carry Trade, see Carry (investment) Education * Center for Computation and Technology at Louisiana State University, USA * Clarkson College of Technology, the original name of Clarkson University * Communication, Culture & Technology, M.A. program at Georgetown University * College of Ceramic Technology at Kolkata, India * Centre for Converging Technologies, University of Rajasthan at Jaipur, India * Cisco Certified Technician, an IT certification from Cisco Systems Government * Congo Chine Télécoms, now Orange RDC, a company of the Democratic Republic of the Congo * Constitutional Court of Thailand * United States Air Force Combat Control Team Medicine and psychology * Caring Cancer Trust * Certificate ...
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