Improved structured filter design and analysis for perturbed phaselocked loops via sector and Hxe2x88x9e norm constraints with convex computations Abstract   This work focuses on designing a structured filter in a phaselocked loop (PLL) system that is perturbed by nonlinear effects from the phase comparator. The filter is designed based on     H  xe2x88x9e     control synthesis which is also optimized along with the stability condition of the nonlinear PLL model. The improvement on the design technique is introduced via relaxations of the     H  xe2x88x9e     norm constraint on the systemxe2x80x99s frequency response and integration with the nonlinearityxe2x80x99s sector bound. The resulting problems are then formulated into matrix inequalities where the solvability conditions are provided via convex computation approaches. Numerical results and computer simulations demonstrate that the tracking capability of the PLL can be enforced via the proposed methods which then lead to a wider lockin range and a faster acquisition time as compared to existing techniques.

Designing MixedSignal PLLs regarding Multiple Requirements taking NonIdeal Effects into Account This work deals with the efficient characterization and reliable design of mixedsignal (MS) systems like the phaselocked loop (PLL) for frequency synthesis considering nonideal effects. For the simulation of the PLL and its nonideal effects an efficient fully eventdriven (ED) model is used preceding to a fast and precise system insight. The developed characterization clearly shows that nonideal effects influence the PLLu0027s dynamic behavior like pullout range, gain crossover frequency and phase noise behavior. Based on the introduced results a more robust system design is presented, considering multiple requirements. The identified feasible parameter range is also applicable to assess process, voltage and temperature variations.