ECE 730 Topic 33 - Introduction to Noise Processes: Classical and Quantum Devices
Instructor
Professor
Na
Young
Kim
Office:
RAC1
2101,
x30481
Office
hours:
Thursdays
3-4
pm
QNC4104
or
by
appointment
via
email
email:
nayoung.kim@uwaterloo.ca
Note:
Do
not
use
LEARN
email
to
reach
the
instructor
Lectures
10-11 Lectures, Tuesdays 8:30am - 11:20 am (May 2, 2017 to July 25, 2017)
Description
The course will introduce fundamentals of various noise processes in classical and quantum devices. Review of mathematical methods in classical and quantum statistical mechanics is given, on which the theoretical framework of noise processes is developed. Thermal, shot, 1/f and quantum noise processes are studied in macroscopic and mesoscopic electrical and optical devices. Measurement techniques of noise processes and the meanings of measurement accuracy are discussed in classical and quantum worlds. Introduction to coherence, decoherence and control theory is briefly given in closed and open systems.
Course Objective
The course is designed for students to
- Review classical and quantum statistical mechanics and learn mathematical framework to describe noise processes.
- Understand thermal, shot, 1/f and quantum noise processes in devices.
-
Study
coherence
and
decoherence
processes
and
control
effects.
Expected Background: Basic understanding of statistical mechanics, quantum mechanics, solid-state electronics, photonics devices and strong calculus is required.
Syllabus
-
PART
1:
Theoretical
Foundations
(2
weeks)
-
Classical
probability
theory
- Time vs Ensemble Average
- Ergodic Processes
- Statistically Stationary vs Non-stationary Processes
- Parseval, Energy, Wiener-Khintchine, Carson Theorems
- Power Spectral Density
- Basic Stochastic Processes
-
Principles
of
quantum
statistics
- Basic Stochastic Processes
- Fluctuation-Dissipation Theorem
- Symmetrization, Non-Commutability Postulates
- Thermodynamic Partition Functions
- Equipartition Theorem
-
Classical
probability
theory
-
PART
2:
Stochastic
Processes
in
Devices
(6
weeks)
-
Types
of
Noises
- Thermal Noise
- Shot Noise
- 1/f Noise
- Quantum Noise
-
Classical
and
Quantum
Circuit
Theory
- Two- and Four-terminal Networks
- Noise Figures of linear circuits and cascaded circuits
-
Macroscopic
and
Mesoscopic
Conductors
- Fluctuation-Dissipation Theorem
- Thermal Noise in a Transmission Line
- Ballistic Transport in Mesoscopic Two-Dimensional Systems
- Partition Noise and Johnson-Nyquist Noise
-
Photonic
Devices
- p-n Junction Devices
- Optical Detector
- Partition Noise and Johnson-Nyquist Noise
-
Types
of
Noises
-
PART
4:
Measurements
and
Decoherence
(2
weeks)
-
Measurement
limits
- Coherence and decoherence processes
-
Control
Theory
and
Feedback
Control
- Open and Closed Systems
-
Measurement
limits
Textbook
None required. Article handouts provided and lecture notes will supplement course lectures.
Cource Website
The course homepage is on LEARN, where course syllabus, lecture notes and problem sets are uploaded. Any important updates will be announced as well.
Grade Distribution
-
4
Problem
Sets
:
30%
Problem Set Late Policy
S(t) = S(0)*(10-t)*0.1 if t < ts or S(t) = 0 if t > ts,
where t = 0 is the due date, t is the turn-in date, and ts is the solution posting date. Exception to this policy can be made in special circumstances by contacting the instructor in advance. Note that any evidence violating Honor code (e.g. plagiarism, copying and etc.) will yield S(t) = 0 regardless of t. - Mid-term Presentation: 20%
-
Final
Exam
:
50%
-
Final
Written
Exam:
30%
The Final Exam will be in-class 150-minute long, held during UW regular final exam period. The exam will be open-book/open-notes. However, access to electronic devices will be prohibited.
- Final Oral Presentation and Final Term Paper: 20%
-
Final
Written
Exam:
30%