553 ADPLL - All-Digital Phase-Locked Loop

553 : ADPLL - All-Digital Phase-Locked Loop

Design render
  • Author: Ali Alshamma
  • Description: All-digital PLL that locks a ring oscillator to a 32.768 kHz crystal reference, synthesizing a 16.777 MHz output clock (x512 multiplication)
  • GitHub repository
  • Open in 3D viewer
  • Clock: 0 Hz

How it works

This is an All-Digital Phase-Locked Loop (ADPLL) that locks an internal ring oscillator to an external 32.768 kHz crystal reference, synthesizing a 16.777216 MHz output clock (x512 frequency multiplication).

Block Diagram

                          +---------------------------+
  ref_clk  ----+--------->|  TDC (Time-to-Digital     |
  32.768 kHz   |          |  Converter)                |
               |          |  Counts DCO edges per      |
               |          |  ref_clk period             |
               |          +------------+----------------+
               |                       |  phase_error
               |                       v
               |          +---------------------------+
               |          |  PI Loop Filter            |
               |          |  Kp, Ki set via pins       |
               |          +------------+----------------+
               |                       |  dco_control[11:0]
               |                       v
               |          +---------------------------+
               |          |  DCO (Ring Oscillator)     |
               |          |  63-stage with tunable     |
               |          |  length + switchable loads  |
               |          +------------+----------------+
               |                       |  dco_clk
               |                       +-------+-------> dco_clk_out
               |                               |
               |          +---------------------------+
               |          |  Divider (/512)            |
               |          +------------+----------------+
               |                       |
               +--- should match ----> +--------> div_clk_out
                   when locked

Key Components

  • TDC: Counts rising edges of dco_clk between consecutive ref_clk rising edges. Computes phase_error = 512 - measured_count. Positive error means DCO is too slow.

  • PI Loop Filter: Proportional + integral controller using arithmetic right-shifts (no multipliers). Gains are programmable via kp_sel and ki_sel pins. Includes anti-windup clamping.

  • DCO: On silicon, a digitally-controlled ring oscillator with coarse tuning (selectable ring length, 3-63 stages) and fine tuning (switchable capacitive loads). In simulation, a behavioral delay model.

  • Lock Detector: Asserts locked when |phase_error| < 4 for 16 consecutive reference cycles. De-asserts after 4 consecutive out-of-range cycles (hysteresis).

  • Divider: Divide-by-512 counter on the DCO output. When locked, div_clk_out should match ref_clk.

Design Parameters

Parameter Value Description
DCO_WIDTH 12 DCO control word width
COUNT_WIDTH 16 TDC counter width
TARGET_COUNT 512 Expected DCO cycles per ref period
LOCK_THRESHOLD 4 Max
LOCK_COUNT 16 Consecutive good cycles to lock

How to test

Pin Configuration

  1. Connect a 32.768 kHz crystal oscillator to ui_in[0] (ref_clk)
  2. Set loop gains via ui_in[3:1] (kp_sel) and ui_in[6:4] (ki_sel):
    • Recommended starting point: kp_sel=2, ki_sel=4
    • Lower values = higher gain = faster lock but less stable
    • Higher values = lower gain = slower lock but more stable
  3. Assert ui_in[7] (loop_enable) to start the PLL

Observing Operation

  • uo_out[0]: DCO clock output (~16.777 MHz when locked)
  • uo_out[1]: DCO / 512 — should match ref_clk frequency when locked
  • uo_out[2]: Lock indicator (high = locked)
  • uo_out[3]: Phase error sign (0 = DCO slow, 1 = DCO fast)
  • uo_out[7:4]: Lower 4 bits of |phase_error| (should be near 0 when locked)
  • uio_out[7:0]: Upper 8 bits of DCO control word (for debug)

Expected Behavior

  1. After enabling, the DCO starts at its midrange control word
  2. The loop adjusts the control word to minimize phase error
  3. Lock should be acquired within ~300 reference cycles (~9 ms)
  4. Once locked: phase error oscillates between 0-2, locked stays high
  5. div_clk_out frequency matches ref_clk within the DCO's quantization limit

Simulation

# cocotb tests (recommended)
cd test && make

# Local iverilog simulation (behavioral model)
make sim

# View waveforms
gtkwave adpll.vcd

External Hardware

  • 32.768 kHz crystal oscillator module connected to ui_in[0]
  • Optional: frequency counter on uo_out[0] to verify output frequency
  • Optional: logic analyzer to observe lock acquisition transient

IO

#InputOutputBidirectional
0ref_clk (32.768 kHz crystal input)dco_clk_out (DCO output clock)dco_control[4]
1kp_sel[0] - proportional gain selectdiv_clk_out (DCO / 512, matches ref_clk when locked)dco_control[5]
2kp_sel[1]locked (lock indicator)dco_control[6]
3kp_sel[2]phase_error signdco_control[7]
4ki_sel[0] - integral gain select|phase_error|[0]dco_control[8]
5ki_sel[1]|phase_error|[1]dco_control[9]
6ki_sel[2]|phase_error|[2]dco_control[10]
7loop_enable|phase_error|[3]dco_control[11]

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