## RF phase noise and phase jitter basics

This page describes **RF phase noise** and **phase jitter** basics, mention phase noise to jitter
conversion equation and provide links to various online
calculators for phase noise to jitter converters.

### Phase noise

Phase noise is the purity measurement of crystal oscillators/synthesizers. Ideally oscillator should have all the energies concentrated at the operating frequency as desired if we view the single sided spectrum on spectrum analyzer. But practically it will produce phase modulated noise sidebands in the close vicinity. These small noise sidebands results in phase noise concept. The most popular crystal oscillator we have used was 10 MHz OCXO, from Vectron International.

** Phase noise measurement**

There are various methods for phase noise measurements, the one using spectrum analyzer
is shown in the fig.1. As shown in the figure phase noise is measured very near to the
carrier at 10Hz, 100Hz, 1KHz, 10KHz, 100KHz away. Phase noise is the difference in level
between peak of the carrier and magnitude at some frequency away say 1KHz. To get the final
phase noise 10 log_{10}(RBW) to be added to the difference obtained above.
If sidebands are not visible then D is the difference between peak of the carrier and noise level at offset frequency desired.

RF phase noise measurement setup➤

### Phase jitter

Time domain name of phase noise is phase jitter, measured in radians (rms) or pico-second (rms). Variation in the period or cycle of the time domain waveform is the primary cause of jitter. This happens due to power supply provided to the oscillator, Electro-magnetic radiation, interference from other sources and so on. There are many types of jitter for example absolute jitter, cycle-to-cycle jitter and so on. Difference between measured and ideal cycle of the time domain waveform gives cycle to cycle jitter. Phase Jitter causes signal to shift in horizontal and hence causes ISI.

** Phase jitter measurement**

Refer Application note from Maxim Integrated no. AN 3359 for phase jitter measurement method.

### Phase noise to jitter conversion

As shown in the figure first integrated phase noise is derived from f1 to f5, let this integrated phase noise is A. From this integrated phase noise, rms phase jitter is obtained using following equation.

A= 10*log_{10} (A1+A2+A3)

Phase jitter (radians) φ = (2 x 10^{A/10})^{1/2}

Phase jitter (seconds) = φ/(2 x pi x fc)

Here fc is the carrier frequency of the oscillator/synthesizer of which we are finding phase noise/phase jitter.

For example, let us assume that we have broadband phase noise of about -120 dBc/Hz from 1 KHz to 1 MHz, and oscillator frequency fc is 10 MHz.
Integrated phase noise (A) = -120 + 10 log_{10} ( 10x 10 ^{6} - 0.001 x 10 ^{6})

= -120dBc + 70dB

= -50dBc

RMS phase jitter (radian), φ = ( 2 x 10^{-5.0} )^{1/2}

= 4.72 x 10^{-4} radians

RMS phase jitter (seconds) = φ /(2 x pi x 10 MHz) = 0.711 ps

### Phase noise/jitter reduction techniques

- Use filter capacitor and bypass capacitor which will eliminate low frequency(power supply noise) and high frequency signals(surge) respectively.

- Follow proper PCB layout design rules for crystal/synthesizer mounting. For example avoid long traces, keep power and ground signals nearby and so on.

- Use ferrite beads in the circuit.

- Do proper shielding of crystal oscillator which will eliminate Electro-Magnetic radiation effect to the crystal oscillator.

- Use highly stabilized power supply with less ripple as source of power for the oscillator.

- Use shield box for covering the oscillator, if space limitation is not there.

- Cooling mechanism either in the form of heat sink or fan should be provided.

**Online calculators for phase noise to jitter conversion**

www.jittertime.com/resources/pncalc.shtml

www.raltron.com/cust/tools/osc.asp

### RF Phase Noise Measurement using Spectrum Analyzer

Refer RF phase noise measurement➤ which mentions settings required in Spectrum Analyzer for phase noise measurement.

### Useful Links

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AM-PM conversion

Various impairments for baseband chain MATLAB code

Error Vector Magnitude

RF measurement tutorial

IQ imbalance and its compensation