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Abstract: Frequency countings close to a phase locked zone in an electronic receiver show a 1/f power spectral density. The noise scaling versus the frequency deviation and the open loop gain are found from Adler's model of the phase locked loop. This fully agrees with experiments performed at 5 MHz on a receiver with a Schottky diode mixer and a low pass filter. The 1/f amplitude and frequency noise due to the whole set of (sub)harmonics is explained from a nonlinear mapping, with a coupling coefficient related to the structure of prime numbers.
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Kostiuk, T. (2003). Heterodyne spectroscopy in the thermal infrared region: a window on physics and chemistry. In University of Maryland Inn and Conference Center (Ed.), Proc. International Thermal Detectors Workshop (TDW'03), session 7 (Heterodyne detectors). 3501 University Boulevar East Adelphi, MD 20783.
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Loudkov, D., Tong, C. Y. E., Blundell, R., Kaurova, N., Grishina, E., Voronov, B., et al. (2005). An investigation of the performance of the superconducting HEB슠mixer as a function of its RF슠embedding impedance. IEEE Trans. Appl. Supercond., 15(2), 472–475.
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