Tracking Phaselock Loop Characteristics with a VCO Using a Barium Strontium Titanate (BST) Thin-Film Varactor A. Victor 1,2 , Member IEEE, J. Nath 1 , Student Member IEEE, K. G. Gard 2 , Member IEEE, J.-P. Maria 2 , A. I. Kingon 3 , Member IEEE, and M. B. Steer 2 , Fellow IEEE 1 Microwave Communication Division, Harris Corporation, Morrisville, NC-27560, USA, 2 Electrical and Computer Engineering, North Carolina State University, Raleigh, NC-27695-7914,USA 2 Materials Science and Engineering, North Carolina State University, Raleigh, NC-27695-7919,USA, Ph: +1-919-767-3277, Email: avictor@harris.com Abstract — Barium Strontium Titanate (BST) varactors utilized in a VCO demonstrate unique tuning characteristics compared to junction varactors. A 2.7 GHz microstrip line VCO operates in a tracking phaselock loop configured as an X4 frequency multiplier. BST oscillator tuning and the effect on loop dynamics is observed by the intentional design of an under damped system. Oscillator noise correction and peaking is noted particularly at low tune voltages. Loop dynamics are addressed through proper design of the loop compensator filter. The differences between BST varactor and junction varactor operation in frequency control are noted. Index Terms — BST, VCO, PLL, loop filter, tracking loop, ferroelectric, resonator. I. INTRODUCTION Oscillators embedded in a phaselock loop (PLL) benefit from improved phase noise performance if the characteristics of the loop are properly designed. Stringent phase noise requirements are a challenge for high power oscillator designs, which emphasize DC conversion efficiency, output power, tune range, and harmonic content. Circuit phase noise, sensitivity to vibration and microphonics, and power supply noise sensitivity are suppressed through the error feedback function associated with the loop gain and dynamics [1]. This work addresses the influence of oscillator tune characteristics on loop performance. The tune characteristic of a BST varactor displays a unique C–V curve, which unlike a junction varactor, presents a non-monotonic tune response. This tune response coupled with the reduction in oscillator tune gain at zero volts is discussed. The effect on operating performance in a tracking phase loop configured as frequency multiplier, a method of readily observing the loop dynamics and required design modifications are presented. II. BST VS. JUNCTION VARACTOR PROPERTIES The capacitance variation of a BST varactor was compared with that of a semiconductor junction varactor. BST varactor exhibits symmetrical tuning about 0 V (see Fig. 2) while the junction varactor increases monotonically with decreasing reverse bias down to forward bias of 570 mV. Beyond that the junction shows a positive reactance due to parasitic effects and high forward conduction (see Fig. 1). This is due to the fundamental difference in the tuning mechanism for the BST and the junction varactor. The C–V curve for a junction varactor is asymmetrical about zero volts since the tuning mechanism relies on existence of a depletion region in the presence of reverse bias and the change of depletion width with voltage. Capacitive tuning in a BST varactor is due to distortion of the unit cell as a function of applied electric field magnitude and hence is independent of the sign of the applied voltage [2]. Fig. 1: Junction varactor reflection coefficient versus swept bias from -30V to +1V. Point (a) on the chart represents 570 mV forward bias. The measurement frequency is held constant at 50 MHz.