Signal with Flat Phase Noise Using a Carrier and the Power Spectral Density of White Noise for Phase Noise Standards

An optimal attitude estimator is presented for a human body-mounted inertial measurement unit employing orthogonal triads of gyroscopes, accelerometers and magnetometers. The estimator continuously fuses gyroscope and accelerometer measurements together in a manner that minimizes the mean square error in the estimate of the gravity vector, based on known spectral characteristics for the gyroscope noise and the linear acceleration of points on the human body. The gyroscope noise is modelled as a white noise process of power spectral density δn2/2 while the linear acceleration is modelled as the derivative of a band-limited white noise process of power spectral density δv2/2. The estimator is robust to centripetal acceleration and guaranteed to have zero mean error regardless of the motion of the sensor. The mean square angular error in attitude is shown to be independent of the module's angular velocity and equal to 21/2g−1/2δn3/2δv1/2.

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Phase Noise Power Spectral Density Measurement of Narrow Linewidth CW Lasers Using an Optical Phase-Locked Loop

IEEE Photonics Technology Letters ◽

10.1109/lpt.2006.887206 ◽

2006 ◽

Vol 18 (23) ◽

pp. 2529-2531 ◽

Cited By ~ 10

Author(s):

Stefano Camatel ◽

Valter Ferrero

Keyword(s):

Spectral Density ◽

Phase Noise ◽

Power Spectral Density ◽

Density Measurement ◽

Phase Locked Loop ◽

Noise Power ◽

Narrow Linewidth ◽

Optical Phase ◽

Noise Power Spectral Density ◽

Power Spectral

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Power spectral density of phase noise for a frequency modulated signal plus additive white Gaussian noise after sampling and filtering

Electronics Letters ◽

10.1049/el:19960102 ◽

1996 ◽

Vol 32 (3) ◽

pp. 186

Author(s):

H. Haunstein

Keyword(s):

Spectral Density ◽

Phase Noise ◽

Power Spectral Density ◽

Gaussian Noise ◽

Additive White Gaussian Noise ◽

White Gaussian Noise ◽

Power Spectral

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The regression model of power spectral density of phase noise of direct digital synthesizers

2016 International Siberian Conference on Control and Communications (SIBCON) ◽

10.1109/sibcon.2016.7491770 ◽

2016 ◽

Cited By ~ 1

Author(s):

V. V. Romashov ◽

L. V. Romashova ◽

K. K. Khramov

Keyword(s):

Spectral Density ◽

Regression Model ◽

Phase Noise ◽

Power Spectral Density ◽

Power Spectral

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Effects of Timing Noise on Square-Wave Optoelectronic Oscillators

Applied Sciences ◽

10.3390/app112412038 ◽

2021 ◽

Vol 11 (24) ◽

pp. 12038

Author(s):

David S. Citrin

Keyword(s):

Spectral Density ◽

Phase Noise ◽

Power Spectral Density ◽

Theoretical Treatment ◽

External Modulation ◽

Power Spectral ◽

Optical Output ◽

Sinusoidal Oscillator ◽

Optoelectronic Oscillators ◽

Timing Noise

Optoelectronic oscillators produce microwave-modulated optical beams without external modulation. The most commonly studied types produces narrow-band output, i.e., optical output modulated by a sinusoid, in which case phase noise determines key figures of merit that limit device performance. Nonetheless, other types of modulated signals have been exhibited by optoelectronic oscillators, including square waves. In this work we provide a theoretical treatment of the power spectral density of a microwave self-modulated optical periodic, but non-sinusoidal, oscillator in the presence of timing noise (as phase noise is only defined for a single sinusoid) and focus on the case of square waves. We consider the effects of timing noise on the power spectral density and autocorrelation function of the modulation signal.

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