# 2nd Order PLL

Subtopics

- JTF Equations for Second Order PLLs
- OJTF Equations for Second Order PLLs

The Second Order PLL clock recovery method models the response of an ideal Type II, second-order hardware PLL.

You can specify the PLL's response in terms of either the JTF's 3 dB bandwidth and its peaking or the OJTF's 3 dB bandwidth and its damping factor.

When the 2nd Order PLL clock recovery mode is selected, the dialog box has these controls:

- Symbol Rate — Enter the signal's expected baud rate.

  The Select From List drop-down menu lets you select typical rates for standard communication interface technologies. The Auto Set Symbol Rate button runs a data rate measurement and populates the Symbol Rate field with the data rate measured on the input signal.

- Clock Skew — For PAM type signals, this can be used to center the eye opening at the clock locations by shifting the clocks relative to the data.

- JTF (Jitter Transfer Function) — This is the closed-loop transfer function of the PLL. It is the ratio of the jitter on the PLL's output clock to the jitter on the input signal.

  This function generally has a low-pass effect. That is, JTF is at unity over low frequencies, but as the jitter increases to higher frequencies, the jitter on the recovered clock will decrease in magnitude.

  Peaking — When specifying the PLL's loop bandwidth in terms of the JTF 3 dB BW, you also need to specify the peaking of the JTF. See JTF Equations for Second Order PLLs for help in converting from Damping Factor or OJTF peaking to JTF Peaking.

- OJTF (Observed Jitter Transfer Function, sometimes referred to as the Error Function) — This is the jitter between the PLL's input signal and PLL's output clock. It is equivalent to the PLL's Error Function (OJTF = EF = 1 – JTF).

  This function generally has a high-pass effect. That is, OJTF is at unity over high frequencies, but as the jitter decreases to lower frequencies, the jitter on the displayed waveform will decrease in magnitude.

  Damping Factor — When specifying the PLL's loop bandwidth in terms of the OJTF 3 dB BW, you also need to specify the damping factor of the JTF.

  < 1 | underdamped
  > 1 | overdamped
  = 1.0 | critically damped
  = 0.707 | Often considered ideal or optimal because of its fast settling time (optimally flat) and Butterworth type response.

  See OJTF Equations for Second Order PLLs for help in converting from JTF Peaking or OJTF peaking to Damping Factor.

- For JTF or OJTF, you can specify the PLL's loop bandwidth either by entering it directly in the Loop Bandwidth field (also known as the -3 dB BW) or by entering the Loop Bandwidth Divisor value (a number that you divide the nominal data rate by to get the loop bandwidth).

  As you adjust JTF Loop Bandwidth (or Loop Bandwidth Divisor) and Peaking values, the equivalent OJTF values are also displayed, and vice-versa. In a Second Order PLL, OJTF is not the mathematical complement of JTF, so the equivalent values are different.

## Advanced Settings

- Deemphasis Removal
- Edge Direction
- Transition Density Dependent
- Settling Time
- Idle Clock Count
- Apply SSC Correction
- Use Advanced Clock Recovery for Closed Eyes