Modular functions and Ramanujan sums for the analysis of 1/f noise in electronic circuits
| dc.creator | Planat, Michel | |
| dc.date | 2002-09-27 | |
| dc.date | 2003-02-24 | |
| dc.date.accessioned | 2026-07-07T04:14:12Z | |
| dc.date.available | 2026-07-07T04:14:12Z | |
| dc.description | A number theoretical model of $1/f$ noise found in phase locked loops is developed. The dynamics of phases and frequencies involved in the nonlinear mixing of oscillators and the low-pass filtering is formulated thanks to the rules of the hyperbolic geometry of the half plane. A cornerstone of the analysis is the Ramanujan sums expansion of arithmetical functions found in prime number theory, and their link to Riemann hypothesis. | |
| dc.description | weakly expanded version of an invited paper at ICNF 2003 | |
| dc.identifier | https://arxiv.org/abs/hep-th/0209243 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0209243 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51536 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Modular functions and Ramanujan sums for the analysis of 1/f noise in electronic circuits | |
| dc.type | text |