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  2. Sinusoidal model - Wikipedia

    en.wikipedia.org/wiki/Sinusoidal_model

    This sinusoidal model can be fit using nonlinear least squares; to obtain a good fit, routines may require good starting values for the unknown parameters. Fitting a model with a single sinusoid is a special case of spectral density estimation and least-squares spectral analysis.

  3. Higher-order sinusoidal input describing function - Wikipedia

    en.wikipedia.org/wiki/Higher-order_sinusoidal...

    The higher-order sinusoidal input describing functions (HOSIDF) were first introduced [1] by dr. ir. P.W.J.M. Nuij.The HOSIDFs are an extension of the sinusoidal input describing function [2] which describe the response (gain and phase) of a system at harmonics of the base frequency of a sinusoidal input signal.

  4. Sine wave - Wikipedia

    en.wikipedia.org/wiki/Sine_wave

    A sine wave, sinusoidal wave, or sinusoid (symbol: ∿) is a periodic wave whose waveform (shape) is the trigonometric sine function. In mechanics , as a linear motion over time, this is simple harmonic motion ; as rotation , it corresponds to uniform circular motion .

  5. Least-squares spectral analysis - Wikipedia

    en.wikipedia.org/wiki/Least-squares_spectral...

    The standard Lomb–Scargle periodogram is only valid for a model with a zero mean. Commonly, this is approximated — by subtracting the mean of the data before calculating the periodogram. However, this is an inaccurate assumption when the mean of the model (the fitted sinusoids) is non-zero.

  6. Airy wave theory - Wikipedia

    en.wikipedia.org/wiki/Airy_wave_theory

    Airy wave theory is a linear theory for the propagation of waves on the surface of a potential flow and above a horizontal bottom. The free surface elevation η(x,t) of one wave component is sinusoidal, as a function of horizontal position x and time t: (,) = ⁡ where

  7. In-phase and quadrature components - Wikipedia

    en.wikipedia.org/wiki/In-phase_and_quadrature...

    LO is the local oscillator - the carrier sine wave being modulated I(t) and Q(t) are the time-series data for the in-phase and quadrature components. S is the signal . IQ data has extensive use in many signal processing contexts, including for radio modulation, software-defined radio, audio signal processing and electrical engineering.

  8. Dying To Be Free - The Huffington Post

    projects.huffingtonpost.com/dying-to-be-free...

    “The model that is geared toward alcoholism doesn’t effectively address heroin addiction,” Merrick said. “In a perfect world, we would have a 12-step model integrated with medically assisted therapy.” At least some of the top officials overseeing Kentucky’s response to the opioid epidemic are as open to medications as Merrick is.

  9. Wave nonlinearity - Wikipedia

    en.wikipedia.org/wiki/Wave_nonlinearity

    a) sinusoidal, b) skewed and c) asymmetric wave shape. Sinusoidal waves (or linear waves) are waves having equal height and duration during the crest and the trough, and they can be mirrored in both the crest and the trough. Due to Non-linear effects, waves can transform from sinusoidal to a skewed and asymmetric shape.