تحلیل غیر خطی جیتر انتقالی در حلقه قفل فاز پمپ بار با استفاده از بسط سری ولترا
محورهای موضوعی : مهندسی برق و کامپیوترهادی ده بوید 1 * , حبیب‌الله آدرنگ 2 , محمدباقر توکلی 3
1 - دانشگاه آزاد اسلامی واحد اراک
2 - دانشگاه آزاد اسلامی واحد نور
3 - دانشگاه آزاد اسلامی واحد اراک
کلید واژه: آشکارساز فازحلقه قفل فاز (PLL)جیتر انتقالیسری ولترانوسان‌ساز کنترل‌شده با ولتاژ (VCO),
چکیده مقاله :
حلقه‌های قفل فاز پمپ بار (CPPLL) به دلیل رفتار غیر خطی ایجادشده توسط پمپ بار، سیستم‌هایی غیر خطی‌اند. در یک پمپ بار ایده‌آل، جریان اعمالی ثابت است اما در عمل به علت اثرات غیر ایده‌آل ترانزیستور، ثابت نیست. در این مقاله با در نظر گرفتن اثر مدولاسیون طول کانال ترانزیستور بر جریان پمپ بار، معادله دیفرانسیل غیر خطی سیستم به دست می‌آید و نشان میدهد حلقه قفل فاز یک سیستم غیر خطی حافظه‌دار است و بسط سری ولترا را می‌توان برای تحلیل آن استفاده نمود. در نتیجه روشی جهت تخمین جیتر انتقالی با فیلتر حلقه مرتبه دوم پیشنهاد می‌شود. جهت بررسی اعتبار نتایج تحلیل، شبیه‌سازی رفتاری جهت بررسی مشخصات جیتر انتقالی استفاده شده و همچنین اثر پارامترهای مختلف حلقه نیز بررسی گردیده است. نتایج نهایی، تطبیق مناسب بین روابط تحلیلی و نتایج شبیه‌سازی را نشان میدهد.
Due to the nonlinear behavior caused by the charge pump, charge pump phase-locked loops (CPPLLs) are nonlinear systems. In an ideal charge pump, the applied current is constant; however, in practice, it is not constant due to the transistor's non-ideal effects. In this paper, regarding the transistor's channel length modulation effect (CLM) on charge pump’s current, the non-linear differential equation of the system is obtained and shows that the phase lock loop is a nonlinear system with memory and Voltaire Series expansion can be used to analyze it. As a result, a method for estimating a jitter transfer with a second-order filter is proposed. System level simulation is used to validate the analytical results with particular emphasis on the jitter transfer characteristics. The effect of different loop parameters has also been studied. The experiments all show excellent conformance between analytical equations and simulation results.
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