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Gaussian distribution – Atec Agilent-81150A-81160A User Manual

Page 9

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9

Noise generator – repeatable and
stochastic noise

Jitter and noise cause misalignment of edges and levels, resulting in data errors. Noise is
by its nature unpredictable because it can have many different causes, from signal inter-
ference caused by sudden voltage changes, to distortions introduced during transmission.

It is important to be able to simulate noise-based malfunctions, for example, to identify
the additive noise produced by receiving systems—it is cheaper to lower the noise fi gure
than to increase the transmitter power! The Agilent 81150A and the Agilent 81160A Pulse
Function Arbitrary Noise Generators let you control the quality of the noise, to test differ-
ent cases, and according to various specifi cations.

White Gaussian noise is a good approximation to many real-world situations, and creates
mathematically traceable models, with statistical independent values. The Agilent 81150A
and the Agilent 81160A Pulse Function Arbitrary Noise Generators provide deterministic
white Gaussian noise, with a signal repetition of 20 days or 26 days respectively. You can
decide on any arbitrary distribution, and trigger the noise to start when you need it.

Setting up a measurement using
trigger, strobe, modulation and carrier

Gaussian curve and distribution

General:

# events=n x sigma


N # events BER
--------------------------
1 67%

0.33

2 97%

0.03

3 99.7%

0.003

5 10

6

10

-6

6 10

9

10

-9

7 10

12

10

-12

voltage

mean value

sigma

Normalized

Events

sigma

sigma

sigma

N=1

N=2

Gaussian distribution

Gaussian distribution

Modulation

Signal


Tr igger Out




Str obe Out




Out

Continuous PM

Phase Deviation 180 deg.

Car r ier Sinewave 0.04 MHz

Modulated by Sinewave 0.02 MHz