TY - GEN

T1 - Discrete simulation of power law noise

AU - Jeremy Kasdin, N.

AU - Walter, Todd

PY - 1992

Y1 - 1992

N2 - Power law noise plays an important role in the description of high performance oscillators. Commonly, five types of noise are considered to affect clocks and clock measurements: white phase, flicker phase, white frequency, flicker frequency and random walk frequency. These noise types are distinguished by the slopes of their spectral densities, Sy(f) ∝ fα (on a log-log scale). The noise is inherent both to the oscillators and to the measurement systems and defines the limits of stability of the clocks. Accurate simulation of the noise can be important for testing the measurement system and the characterization software. This paper presents a new algorithm and computer code for simulating power law noises with arbitrary α (it is not restricted to the integer values mentioned above). The general theory of noise simulation is investigated to determine the criteria for evaluating and deriving simulation methods. Past techniques are evaluated and the new method is shown to provide improvements, particularly because it results in non-stationary noise sequences that are also scale-invariant and causal and have the proper autospectral densities and Allan variances.

AB - Power law noise plays an important role in the description of high performance oscillators. Commonly, five types of noise are considered to affect clocks and clock measurements: white phase, flicker phase, white frequency, flicker frequency and random walk frequency. These noise types are distinguished by the slopes of their spectral densities, Sy(f) ∝ fα (on a log-log scale). The noise is inherent both to the oscillators and to the measurement systems and defines the limits of stability of the clocks. Accurate simulation of the noise can be important for testing the measurement system and the characterization software. This paper presents a new algorithm and computer code for simulating power law noises with arbitrary α (it is not restricted to the integer values mentioned above). The general theory of noise simulation is investigated to determine the criteria for evaluating and deriving simulation methods. Past techniques are evaluated and the new method is shown to provide improvements, particularly because it results in non-stationary noise sequences that are also scale-invariant and causal and have the proper autospectral densities and Allan variances.

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M3 - Conference contribution

AN - SCOPUS:0026984845

SN - 0780304764

T3 - Proceedings of the Annual Frequency Control Symposium

SP - 274

EP - 283

BT - Proceedings of the Annual Frequency Control Symposium

PB - Publ by IEEE

T2 - Proceedings of the 1992 IEEE Frequency Control Symposium

Y2 - 27 May 1992 through 29 May 1992

ER -