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Q-tech, Sine wave sources, Phase noise and phase jitter integration – Q-Tech SINE WAVE User Manual

Page 6: Frequency vs. temperature curve

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Q-TECH Corporation - 10150 W. Jefferson Boulevard, Culver City 90232 - Tel: 310-836-7900 - Fax: 310-836-2157 - www.q-tech.com

SINE WAVE SOURCES

DUAL-IN-LINE CRYSTAL CLOCK OSCILLATORS

5.0 to 15Vdc - 10Hz to 450MHz

Q-TECH

CORPORATION

Sine Wave Sources (Revision E, August 2010 ) (ECO# 9936)

Phase noise is measured in the frequency domain, and is expressed as a ratio of signal power to noise power measured in a 1Hz

bandwidth at an offset frequency from the carrier, e.g. 10Hz, 100Hz, 1kHz, 10kHz, 100kHz, etc. Phase noise measurement is made

with an Agilent E5052A Signal Source Analyzer (SSA) with built-in outstanding low-noise DC power supply source. The DC source

is floated from the ground and isolated from external noise to ensure accuracy and repeatability.

In order to determine the total noise power over a certain frequency range (bandwidth), the time domain must be analyzed in the

frequency domain, and then reconstructed in the time domain into an rms value with the unwanted frequencies excluded. This may be

done by converting L(f) back to Sφ(f) over the bandwidth of interest, integrating and performing some calculations.

The value of RMS jitter over the bandwidth of interest, e.g. 10kHz to 20MHz, 10Hz to 20MHz, represents 1 standard deviation of

phase jitter contributed by the noise in that defined bandwidth.

Figure below shows a typical Phase Noise/Phase jitter of a QT957S, +5Vdc, 150MHz and QT957S8M, +5Vdc, 69.4MHz clock at off-

set frequencies 10Hz to 10MHz, and phase jitter integrated over the bandwidth of 12kHz to 1MHz.

Phase Noise and Phase Jitter Integration

Symbol

Definition

L(f)

Integrated single side band phase noise (dBc)

Sφ (f)=(180/Π)x

2 ∫

L(f)df

Spectral density of phase modulation, also known as RMS phase error (in degrees)

RMS jitter = Sφ (f)/(fosc.360°)

Jitter(in seconds) due to phase noise. Note Sφ (f) in degrees.

QT957S, +5Vdc, 150MHz

QT957S8M, 5.0Vdc, 69.4 MHz

Frequency vs. Temperature Curve

-50

-40

-30

-20

-10

0

10

20

30

40

50

-55

-50

-45

-40

-35

-30

-25

-20

-15

-10

-5

0

5

10

15

20

25

30

35

40

45

50

55

60

65

70

75

80

85

90

95

100 105 110 115 120 125

Temperature (°C)

1_12

2_12

Frequency Stability (PPM)

FREQUENCY STABILITY VS. TEMPERATURE QT957S-64MHz