A Refinement of the Square Wave Phase Noise Evaluation
Oscillators are often followed by square wave forming circuits and frequency dividers. Traditionally, the level of the phase noise, transferred from the oscillator outputs to the square waves obtained is calculated ignoring the correlations in the oscillator phase noise spectrum. In this paper, accurate expressions are derived, taking into account the phase noise mechanisms in the oscillators. The phase noise power spectral densities are calculated in both the traditional way and by using the proposed expressions and they are compared. The situations where the proposed expressions can be useful are identified.
Keywords:phase noise, square wave, frequency divider, oscillator
H. M. El Misilmani, M. Y. Abou-Shahine, Y. Nasser, K. Y. Kabalan, “Recent Advances on Radio-Frequency Design in Cognitive Radio”, International Journal of Antennas and Propagation, Vol. 2016, Article ID 9878475, 2016 DOI: https://doi.org/10.1155/2016/9878475
Z. El Alaoui Ismaili, W. Ajib, F. Gagnon, F. Nabki, “Very Wide Range Frequency Synthesizer Architecture for Avionic SDR Applications”, IEEE International Conference on Ubiquitous Wireless Broadband, pp. 1-5, 2015 DOI: https://doi.org/10.1109/ICUWB.2015.7324527
B. Razavi, “Challenges in the Design of Cognitive Radios”, IEEE Custom Intergrated Circuits Conference, pp. 391-398, 2009 DOI: https://doi.org/10.1109/CICC.2009.5280806
B. Razavi, RF Microelectronics, Prentice Hall PTR, 2011
C. Calosso, E. Rubiola, “The Sampling Theorem in Pi and Lambda Digital Frequency Dividers”, Joint UFFC, EFTF and PFM Symposium, pp. 960-962, 2013 DOI: https://doi.org/10.1109/EFTF-IFC.2013.6702256
M. Apostolidou, P. Baltus, C. Vaucher, “Phase Noise in Frequency Divider Circuits”, IEEE International Symposium on Circuits and Systems, pp. 2538-2541, 2008 DOI: https://doi.org/10.1109/ISCAS.2008.4541973
S. Levantino, L. Romano, S. Pellerano, C. Samori, A. L. Lacaita, “Phase Noise in Digital Frequency Dividers”, IEEE Journal of Solid-State Circuits, Vol. 39, No. 5, pp. 775-784, 2004 DOI: https://doi.org/10.1109/JSSC.2004.826338
W. F. Egan, “Modeling phase noise in frequency dividers”, IEEE Transactions on Ultrasonics, Ferroelectrics, and frequency Control, Vol. 37, No. 4, pp. 307-315, 1990 DOI: https://doi.org/10.1109/58.56498
T. H. Lee, A. Hajimiri, The Design of Low Noise Oscillators, Kluwer Academic Publishers, 2003
T. H. Lee, A. Hajimiri, “Oscillator Phase Noise: A Tutorial”, IEEE Journal of Solid-State Circuits, Vol. 35, No. 3, pp. 326-336, 2000 DOI: https://doi.org/10.1109/4.826814
Д. В. Васильев, М. Р. Витоль, Ю. Н. Горшенков, К. Самойло, Т. Федосова, Е. Черниговская, Радиотехнические цепи и сигналы [Radiotechnical circuits and signals], Радио и связь, Москва, 1982 [In Russian]
F. Pepe, A. Bonfanti, S. Levantino, C. Samori, A. L. Lacaita, “Suppression of Flicker Noise Up-Conversion in a 65-nm CMOS VCO in the 3.0-to-3.6 GHz Band”, IEEE Journal of Solid-State Circuits, Vol. 48, No. 10, pp. 2375–2389, 2013 DOI: https://doi.org/10.1109/JSSC.2013.2273181
I. Chlis, D. Pepe, D. Zito, “Analyses and techniques for phase noise reduction in CMOS Colpitts oscillator topology”, International Journal of Circuit Theory and Applications, Vol. 44, No. 3, pp. 616–638, 2016 DOI: https://doi.org/10.1002/cta.2097
I. Chlis, D. Pepe, D. Zito, “Analysis of Phase Noise in 28 nm CMOS LC Oscillator Differential Topologies: Armstrong, Colpitts, Hartley and Common-Source Cross-Coupled Pair” Journal of Circuits, Systems, and Computers, Vol. 24, No. 4, pp. 1550052-1 - 1550052-18, 2015 DOI: https://doi.org/10.1142/S0218126615500528
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