A. Phase Frequency Detector
The Phase Frequency Detector(PFD) is used to detect the difference in phase and frequency between the reference signal and the frequency-divided feedback signal.The outputs of the PFD are UP and DOWN pulses, and the difference between the pulse widths of these two pulses is directly proportional to the difference in phase between REFCLK and FBCLK. It mainly consists of D flip-flops, NAND gate and programmable delay line as shown in Fig. 2.
When the frequency of REFCLK is higher than FBCLK or the phase is ahead, the pulse width of UP signal will be larger than that of DOWN signal; when the frequency of REFCLK is lower than FBCLK or the phase is lagged, the pulse width of UP signal will be smaller than that of DOWN; when REFCLK and FBCLK are in the same frequency and the same phase, the pulse width of UP signal is equal to that of DOWN. The UP and DOWN waveforms in different cases are shown in Fig. 3.
The purpose of the delay unit in the RESET signal path is to ensure the complete establishment of the UP and DOWN pulse waveforms when the phase difference is small, so that the charge/discharge switch of the CP unit does not turn on completely, thus avoiding the dead zone. The delay time should be considered as a compromise, if the delay time is too small, then the CP switch can not be fully opened; if the delay time is too large, then the CP conduction time is long, contributing to the current noise.
B. Charge Pump
The Charge Pump (CP) unit takes the UP and DOWN pulses generated by the PFD and converts them into current signals. The current switching and inflow/outflow are controlled by the UP and DOWN pulses.The CP unit mainly consists of a bias circuit, a current source, and a switch and an auxiliary op-amp, and the basic structure is shown in Fig. 4.
The AMP1 and M1 circuits enable the M1 branch to generate bias currents related to the Ibias, where the Rcp resistance value is variable, thus realizing the adjustability of the charge pump current. The auxiliary op-amp AMP2 makes the V1 and V2 node voltages equal to avoid the channel length modulation effect that causes current bias.
Rpmis and Rnmis resistance value is variable, in the calibration mode, the charge pump operating mode is shown in Fig. 5, at this time V1 = VDD/2, if you find that FILT_FINE is not equal to V1, then it means that there is a mismatch between the charge pump PMOS branch and the NMOS branch currents, and by adjusting the resistance value of Rpmis or Rnmis can be adjusted to the charge pump mismatch current.
C. Voltage Controlled Oscillator
The Voltage Controlled Oscillator(VCO) utilizes a standard LC resonant cavity, which consists of two differential inductors, two variable capacitor arrays, a switched capacitor array, and complementary NMOS and PMOS negative resistors. The variable capacitor array is controlled by the charge pump output voltage, which can make the frequency change continuously to realize the frequency fine tuning; the switched capacitor array is controlled by the AFC algorithm, which can carry out the frequency selection to realize the coarse tuning. The negative resistance can be used to offset the parasitic resistance in the LC oscillator to ensure the stability of the resonance. The circuit structure is shown in Fig. 6.
The variable capacitor array is shown in Fig. 7, which is controlled by two control signals, SW1 < 3:0 > and SW0 < 3:0>. When the control signal is 0, the MOS capacitors C1 and C2 are connected to VDD; when the control signal is 1, the MOS capacitor C1 is connected to the voltage FILT_FINE, and the finely tuned branch is on, and the MOS capacitor C2 is connected to the voltage FILT_COARSE, and the coarsely tuned branch is on. Among them, the size of coarse tuning branch MOS capacitor C2 is 8 times of fine tuning branch MOS capacitor C1.
D. Feedback Frequency Divider
The VCO output signal is divided and fed to the PFD, but since the VCO output signal frequency is very high, the frequency divider used in this paper is accomplished in two stages. The first stage is a high-speed prescaler circuit, as shown in Fig. 8, which is first divided into 2 by a D flip-flop, and then divided into 4 by two D flip-flops, thus constituting an 8-division circuit, and in order to meet the high-speed requirements, the D flip-flop is realized by a TSPC circuit. The second stage is a conventional integer frequency divider. Therefore, the frequency divider circuit in this paper is an 8*N times frequency divider.
E. Digital Automatic Frequency Calibration
In order to meet the wide tuning range, the VCO uses a capacitor array to realize multiple frequency tuning sub-bands to extend the output frequency coverage, so the PLL needs to quickly and accurately select the appropriate VCO frequency tuning sub-bands through the Auto Frequency Calibration (AFC) circuit. The analog loop then controls the tuning voltage of the VCO through its own negative phase feedback until the loop locks. The block diagram of AFC is shown in Fig. 9.
The AFC algorithm uses the frequency comparison method to realize calibration by comparing the frequency of the output divider signal Fdiv and the reference signal Fin. Before digital calibration, it is necessary to disconnect the analog calibration loop, and at the same time, the tuning voltage of the VCO is set to a fixed value of Vref, the counter counts the frequency of Fdiv for a certain period of time, and then compares the counted value and the target counted value, and the control logic adjusts the VCO capacitance array control word according to the counting result to regulate the frequency of the VCO.
F. Analog Calibration
After the digital calibration finds the sub-band it also needs to be locked by analog calibration, the analog calibration loop is shown in Fig. 10.
The PFD compares the phase information of Fin and Fdiv to control the CP charging and discharging, and the CP charging and discharging currents are converted to the fine-tuned voltage FILT_FINE through the LPF to regulate the frequency of the VCO until the phase alignment of the Fin and Fdiv frequencies are equal, then the PLL completes the locking, and the fine-tuned voltage FILT_FINE is kept unchanged. In addition, the inclusion of a coarse tuning loop consisting of a Gm-C integrator allows the fine tuning voltage FILT_FINE to be controlled at Vref during lock. For example, if FILT_FINE is greater than Vref, FILT_COARSE increases, the variable capacitor capacitance becomes smaller, Fdiv increases, the CP discharges, and FILT_FINE decreases until it decreases to Vref, and FILT_COARSE stabilizes.