Title page for ETD etd-01032006-162739

Type of Document

Dissertation

Author

Kriplani, Nikhil M,

URN

etd-01032006-162739

Title

Modelling Colored Noise under Large-Signal Conditions

Degree

PhD

Graduate Program

Electrical Engineering

Advisory Committee

Advisor Name	Title
Michael B. Steer	Committee Chair
Doug Barlage	Committee Member
Griff Bilbro	Committee Member
Rhett Davis	Committee Member

Keywords

colored noise
chaos
noise analysis

Date of Defense

2005-12-09

Availability

unrestricted

Abstract

A time-domain simulation approach to modelling colored noise in electrical circuits is described. This approach tries to place minimal restrictions on the magnitude and the nature of the noise present in a circuit in an effort to capture the effects of nonlinear interactions
between signal and noise. The approach uses the mathematical theory of nonlinear
dynamics and chaos to produce stochastic-looking series using simple deterministic iterative
rules or maps. The characteristics of these series can be modified easily to produce a large
range of spectral characteristics. The advantage of using the chaotic maps approach is that
modifying the spectral characteristics usually requires the tweaking of a small number of
parameters. This is in contrast to more traditional time-series-based approaches to noise
generation which require a large number of parameters to accurately model the characteristics
of common sources of noise found in electrical circuits. The validity of this approach
to modelling is tested by implementing a unified deterministic and stochastic framework of
equations in a high dynamic range simulator. The resulting stochastic system of equations
describing a nonlinear noisy network are setup and solved assuming the Stratonovich interpretation.
Simulated results are compared with measured results using two representative
circuits. The first circuit is a varactor-tuned voltage-controlled oscillator and simulated
phase noise at the output of the circuit is compared with measured values. The second
circuit is a low-noise X-band MMIC power amplifier and the effect of noise on the amplification
of this device is investigated. Gain versus input power curves are generated
in simulation when the circuit is fed with large levels of input noise and contrasted with
measurement. Both these cases demonstrate that this approach to the modelling of large
levels of noise is valid and perhaps even essential in order to accurately predict the effects
of having non-negligible levels of noise in an electronic circuit.

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