In this paper, a simple analytical model for the Gaussian’s peak response part of the timing jitter of single photon avalanche diodes (SPADs) is proposed using Fourier series in the multiplication time calculation. The multiplication time characterizes avalanche multiplication process speed in which low multiplication time suggests a swifter response time and a higher avalanche speed. This paper presents an analytical solution which results in a more accurate multiplication time. The model is verified for SPADs implemented in 0.15 and 0.18 μm standard CMOS process, and the accuracy of the proposed analytical method in full-width at half-maximum (FWHM) calculation is improved by 25% and 5% with respect to the numerical model, respectively.
The low-frequency optical-signal phase noise induced by mechanical vibration of the base occurs in field-deployed fibers. Typical telecommunication data transfer is insensitive to this type of noise but the phenomenon may influence links dedicated to precise Time and Frequency (T&F) fiber-optic transfer that exploit the idea of stabilization of phase or propagation delay of the link. To measure effectiveness of suppression of acoustic noise in such a link, a dedicated measurement setup is necessary. The setup should enable to introduce a low-frequency phase corruption to the optical signal in a controllable way. In the paper, a concept of a setup in which the mechanically induced acoustic-band optical signal phase corruption is described and its own features and measured parameters are presented. Next, the experimental measurement results of the T&F transfer TFTS-2 system’s immunity as a function of the fibre-optic length vs. the acoustic-band noise are presented. Then, the dependency of the system immunity on the location of a noise source along the link is also pointed out.
The new LLRF system architecture based on the ATCA platform was developed and tested at FLASH. The LLRF system require generation of highly stable clock and trigger signals for high precision data processing and synchronous system operation. This paper describes the conception, design and performance test results of the updated AMC module designed to fulfill the LLRF system timing synchronization needs. This module contains three independent clock synthesizers that are able to generate LVDS clock signals in the range of 10 MHz to 100 MHz. These signals are transmitted over the AMC connector and can be distributed over the entire ATCA crate.The clock synthesizers can be synchronized either by an internal quartz oscillator or an external phase reference signal provided to the board either via the AMC edge connector or via a front panel socket. This assures flexibility when using the board for tests and for the LLRF system operation. Besides clock synthesizers the AMC card contains also an optical receiver suited to convert and decode FLASH timing signals distributed in the FLASH accelerator system.
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A simplified phase noise integration method for evaluation of the timing jitter is presented. The jitter value computation is based on the relationship between that measure and the single sideband noise to carrier ratio. The calculated value is compared to the result of timing jitter measurement performed directly in time domain.
PL
Artykuł zawiera opis uproszczonej metody wyznaczania wartości rozmycia czasowego okresu sygnału na podstawie widmowej gęstości mocy szumu. Opisane są podstawowe miary stabilności krótkoczasowej sygnałów, określone dla dziedzin czasu i częstotliwości oraz ich wzajemna relacja. Pokazany jest przykład wykorzystania tej relacji do obliczenia wartości rozmycia czasowego okresu referencyjnego źródła sygnału. Obliczona wartość rozmycia jest porównana z wartością uzyskaną w wyniku bezpośredniego pomiaru tego parametru w dziedzinie czasu.
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