Dynamics of the Phase-Locked Loop without a Limiter |
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Authors: | Suzuki K Namekawa T |
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Institution: | The Third Laboratory Research and Development Center of Defence Agency Tachikawa, Japan; |
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Abstract: | The general (nth order) phase-locked loop is analyzed, of which the amplitude is not constant. The input carrier signal is amplitude-modulated by wide-band stationary Gaussian noise, and the signal, superposed with the additive white stationary Gaussian noise, enters the nonlimited phase-locked loop. Under the above assumptions the loop can be shown to constitute an n-dimensional vector Markov process, so that the process satisfies the n-dimensional Fokker-Plank equation. The probability density function depends on the effective loop signal-to-noise ratio and the effective modulation power. |
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