## Etalon Clock Based on Diophantine Frequency Synthesis

Transactions of IAA RAS, issue 37, 97–101 (2016)

**Keywords**:
the quantum frequency standard, atomic clocks, Diophantine equations, Diophantine frequency synthesis, frequency multiplier.

### Abstract

The high spectral cleanness of signals formed by Diophantine frequency synthesizers, can be used for synthesis of a signal of average weighted frequency of the etalon clock. The new method of construction of the etalon clock of nonlinear transformation of signals of cascade Diophantine synthesizers of frequency is offered. The possibility of reaching high resolution on frequency and spectral cleanness of a target signal is shown.

### Citation

`V. A. Karelin. Etalon Clock Based on Diophantine Frequency Synthesis // Transactions of IAA RAS. — 2016. — Issue 37. — P. 97–101.`

```
@article{karelin2016,
abstract = {The high spectral cleanness of signals formed by Diophantine frequency synthesizers, can be used for synthesis of a signal of average weighted frequency of the etalon clock. The new method of construction of the etalon clock of nonlinear transformation of signals of cascade Diophantine synthesizers of frequency is offered. The possibility of reaching high resolution on frequency and spectral cleanness of a target signal is shown.},
author = {V.~A. Karelin},
issue = {37},
journal = {Transactions of IAA RAS},
keyword = {the quantum frequency standard, atomic clocks, Diophantine equations, Diophantine frequency synthesis, frequency multiplier},
pages = {97--101},
title = {Etalon Clock Based on Diophantine Frequency Synthesis},
url = {http://iaaras.ru/en/library/paper/1567/},
year = {2016}
}
```

```
TY - JOUR
TI - Etalon Clock Based on Diophantine Frequency Synthesis
AU - Karelin, V. A.
PY - 2016
T2 - Transactions of IAA RAS
IS - 37
SP - 97
AB - The high spectral cleanness of signals formed by Diophantine
frequency synthesizers, can be used for synthesis of a signal of
average weighted frequency of the etalon clock. The new method of
construction of the etalon clock of nonlinear transformation of
signals of cascade Diophantine synthesizers of frequency is offered.
The possibility of reaching high resolution on frequency and spectral
cleanness of a target signal is shown.
UR - http://iaaras.ru/en/library/paper/1567/
ER -
```