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Constant amplitude zero autocorrelation waveform information


In signal processing, a Constant Amplitude Zero AutoCorrelation waveform (CAZAC) is a periodic complex-valued signal with modulus one and out-of-phase periodic (cyclic) autocorrelations equal to zero. CAZAC sequences find application in wireless communication systems, for example in 3GPP Long Term Evolution for synchronization of mobile phones with base stations. Zadoff–Chu sequences are well-known CAZAC sequences with special properties.

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Constant amplitude zero autocorrelation waveform

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In signal processing, a Constant Amplitude Zero AutoCorrelation waveform (CAZAC) is a periodic complex-valued signal with modulus one and out-of-phase...

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Window function

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Mathematically, when another function or waveform/data-sequence is "multiplied" by a window function, the product is also zero-valued outside the interval: all...

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Rayleigh fading

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modelled by independent and identically distributed zero-mean Gaussian processes so that the amplitude of the response is the sum of two such processes....

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Pulse compression

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amounts to assuming that the autocorrelation peak is centered at zero. This will not change the resolution and the amplitudes but will simplify the math:...

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Cazac

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Cazac may refer to: Constant amplitude zero autocorrelation waveform Cazac, Haute-Garonne, a commune in the arrondissement of Saint-Gaudens in Southern...

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Ambiguity function

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pulse is not a desirable waveform from a pulse compression standpoint, because the autocorrelation function is too short in amplitude, making it difficult...

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Spectral density

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function S ¯ x x ( f ) {\displaystyle {\bar {S}}_{xx}(f)} and the autocorrelation of x ( t ) {\displaystyle x(t)} form a Fourier transform pair, a result...

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Fourier transform

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signals to instead take the Fourier transform of its autocorrelation function. The autocorrelation function R of a function f is defined by R f ( τ ) =...

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White noise

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equal to zero for all n {\displaystyle n} , i.e. E ⁡ [ W ( n ) ] = 0 {\displaystyle \operatorname {E} [W(n)]=0} and if the autocorrelation function R...

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Frequency domain

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both the magnitude and the phase of a set of sinusoids (or other basis waveforms) at the frequency components of the signal. Although it is common to refer...

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Matched filter

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systems if we replace R v {\displaystyle R_{v}} with the continuous-time autocorrelation function of the noise, assuming a continuous signal s ( t ) {\displaystyle...

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Convolution

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frequency components are created. The existing ones are only modified (amplitude and/or phase). In other words, the output transform is the pointwise product...

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