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  2. Additive white Gaussian noise - Wikipedia

    en.wikipedia.org/wiki/Additive_white_Gaussian_noise

    Additive white Gaussian noise (AWGN) is a basic noise model used in information theory to mimic the effect of many random processes that occur in nature. The modifiers denote specific characteristics: Additive because it is added to any noise that might be intrinsic to the information system.

  3. Linear–quadratic–Gaussian control - Wikipedia

    en.wikipedia.org/wiki/Linear–quadratic...

    It concerns linear systems driven by additive white Gaussian noise. The problem is to determine an output feedback law that is optimal in the sense of minimizing the expected value of a quadratic cost criterion. Output measurements are assumed to be corrupted by Gaussian noise and the initial state, likewise, is assumed to be a Gaussian random ...

  4. White noise - Wikipedia

    en.wikipedia.org/wiki/White_noise

    This model is called a Gaussian white noise signal (or process). In the mathematical field known as white noise analysis, a Gaussian white noise is defined as a stochastic tempered distribution, i.e. a random variable with values in the space ′ of tempered distributions.

  5. List of unsolved problems in information theory - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Capacity is known in approximate sense or within a range for: injective-semi-deterministic, additive white Gaussian noise with per block power constraint. Capacity of the two-way channel : The capacity of the two-way channel (a channel in which information is sent in both directions simultaneously) is unknown.

  6. Noise (signal processing) - Wikipedia

    en.wikipedia.org/wiki/Noise_(signal_processing)

    Additive noise, gets added to the intended signal White noise. Additive white Gaussian noise; Black noise; Gaussian noise; Pink noise or flicker noise, with 1/f power spectrum; Brownian noise, with 1/f 2 power spectrum; Contaminated Gaussian noise, whose PDF is a linear mixture of Gaussian PDFs; Power-law noise; Cauchy noise

  7. Maximal-ratio combining - Wikipedia

    en.wikipedia.org/wiki/Maximal-ratio_combining

    Maximum-ratio combining is the optimum combiner for independent additive white Gaussian noise channels. MRC can restore a signal to its original shape. The technique was invented by American engineer Leonard R. Kahn [1] in 1954.

  8. Gaussian noise - Wikipedia

    en.wikipedia.org/wiki/Gaussian_noise

    A special case is white Gaussian noise, in which the values at any pair of times are identically distributed and statistically independent (and hence uncorrelated). In communication channel testing and modelling, Gaussian noise is used as additive white noise to generate additive white Gaussian noise.

  9. Channel capacity - Wikipedia

    en.wikipedia.org/wiki/Channel_capacity

    An application of the channel capacity concept to an additive white Gaussian noise (AWGN) channel with B Hz bandwidth and signal-to-noise ratio S/N is the Shannon–Hartley theorem: C = B log 2 ⁡ ( 1 + S N ) {\displaystyle C=B\log _{2}\left(1+{\frac {S}{N}}\right)\ }