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  2. Autocorrelation - Wikipedia

    en.wikipedia.org/wiki/Autocorrelation

    Autocorrelation of white noise [ edit ] The autocorrelation of a continuous-time white noise signal will have a strong peak (represented by a Dirac delta function ) at τ = 0 {\displaystyle \tau =0} and will be exactly 0 {\displaystyle 0} for all other τ {\displaystyle \tau } .

  3. Pisarenko harmonic decomposition - Wikipedia

    en.wikipedia.org/wiki/Pisarenko_harmonic...

    Pisarenko's method also assumes that + values of the autocorrelation matrix are either known or estimated. Hence, given the ( p + 1 ) × ( p + 1 ) {\displaystyle (p+1)\times (p+1)} autocorrelation matrix, the dimension of the noise subspace is equal to one and is spanned by the eigenvector corresponding to the minimum eigenvalue.

  4. Pseudorandom noise - Wikipedia

    en.wikipedia.org/wiki/Pseudorandom_noise

    A pseudo-noise code (PN code) or pseudo-random-noise code (PRN code) is one that has a spectrum similar to a random sequence of bits but is deterministically generated. The most commonly used sequences in direct-sequence spread spectrum systems are maximal length sequences, Gold codes, Kasami codes, and Barker codes. [4]

  5. Barker code - Wikipedia

    en.wikipedia.org/wiki/Barker_code

    A Barker code resembles a discrete version of a continuous chirp, another low-autocorrelation signal used in other pulse compression radars. The positive and negative amplitudes of the pulses forming the Barker codes imply the use of biphase modulation or binary phase-shift keying ; that is, the change of phase in the carrier wave is 180 degrees.

  6. Whitening transformation - Wikipedia

    en.wikipedia.org/wiki/Whitening_transformation

    The transformation is called "whitening" because it changes the input vector into a white noise vector. Several other transformations are closely related to whitening: the decorrelation transform removes only the correlations but leaves variances intact, the standardization transform sets variances to 1 but leaves correlations intact,

  7. White noise - Wikipedia

    en.wikipedia.org/wiki/White_noise

    White noise draws its name from white light, [2] although light that appears white generally does not have a flat power spectral density over the visible band. An image of salt-and-pepper noise In discrete time , white noise is a discrete signal whose samples are regarded as a sequence of serially uncorrelated random variables with zero mean ...

  8. MUSIC (algorithm) - Wikipedia

    en.wikipedia.org/wiki/MUSIC_(algorithm)

    MUSIC outperforms simple methods such as picking peaks of DFT spectra in the presence of noise, when the number of components is known in advance, because it exploits knowledge of this number to ignore the noise in its final report.

  9. Decorrelation - Wikipedia

    en.wikipedia.org/wiki/Decorrelation

    Decorrelation is a general term for any process that is used to reduce autocorrelation within a signal, or cross-correlation within a set of signals, while preserving other aspects of the signal. [citation needed] A frequently used method of decorrelation is the use of a matched linear filter to reduce the autocorrelation of