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  2. Innovation (signal processing) - Wikipedia

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

    If the forecasting method is working correctly, successive innovations are uncorrelated with each other, i.e., constitute a white noise time series. Thus it can be said that the innovation time series is obtained from the measurement time series by a process of 'whitening', or removing the predictable component.

  3. Colors of noise - Wikipedia

    en.wikipedia.org/wiki/Colors_of_noise

    Identifying the dominant noise type in a time series has many applications including clock stability analysis and market forecasting. There are two algorithms based on autocorrelation functions that can identify the dominant noise type in a data set provided the noise type has a power law spectral density.

  4. Noisy data - Wikipedia

    en.wikipedia.org/wiki/Noisy_data

    Noisy data are data with a large amount of additional meaningless information in it called noise. [1] This includes data corruption and the term is often used as a synonym for corrupt data. [1] It also includes any data that a user system cannot understand and interpret correctly. Many systems, for example, cannot use unstructured text. Noisy ...

  5. White noise - Wikipedia

    en.wikipedia.org/wiki/White_noise

    In music and acoustics, the term white noise may be used for any signal that has a similar hissing sound. In the context of phylogenetically based statistical methods, the term white noise can refer to a lack of phylogenetic pattern in comparative data. [5] In nontechnical contexts, it is sometimes used to mean "random talk without meaningful ...

  6. Spectral density estimation - Wikipedia

    en.wikipedia.org/wiki/Spectral_density_estimation

    Critical filter is a nonparametric method based on information field theory that can deal with noise, incomplete data, and instrumental response functions Parametric techniques (an incomplete list): Autoregressive model (AR) estimation, which assumes that the n th sample is correlated with the previous p samples.

  7. Time series - Wikipedia

    en.wikipedia.org/wiki/Time_series

    Time series analysis comprises methods for analyzing time series data in order to extract meaningful statistics and other characteristics of the data. Time series forecasting is the use of a model to predict future values based on previously observed values. Generally, time series data is modelled as a stochastic process.

  8. Additive white Gaussian noise - Wikipedia

    en.wikipedia.org/wiki/Additive_white_Gaussian_noise

    The instantaneous response of the noise vector cannot be precisely predicted, however, its time-averaged response can be statistically predicted. As shown in the graph, we confidently predict that the noise phasor will reside about 38% of the time inside the 1 σ circle, about 86% of the time inside the 2 σ circle, and about 98% of the time ...

  9. Signal averaging - Wikipedia

    en.wikipedia.org/wiki/Signal_averaging

    Signal averaging is a signal processing technique applied in the time domain, intended to increase the strength of a signal relative to noise that is obscuring it. By averaging a set of replicate measurements, the signal-to-noise ratio (SNR) will be increased, ideally in proportion to the square root of the number of measurements.