UCLA
Fall 2011
Systems and Signals
Lecture 17: Sampling Theorem I
November 28, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Agenda
Todays topics
Sampling of continuous-time signals
Interpolation of band-limited signals (Sampling theorem)
UCLA
Fall 2011
Systems and Signals
Lecture 10: The Continuous Time Fourier Transform
October 31, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Introduction to Fourier Transforms
Fourier transform as a limit of Fourier series
Inverse Fourie
UCLA
Fall 2011
Systems and Signals
Lecture 8: Continuous Time Fourier Series II
October 19, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Introduction
Todays topics:
Review: Fourier series
Properties of continuous time Fourier series
Intr
UCLA
Fall 2011
Systems and Signals
Lecture 8: Continuous Time Fourier Series II
October 19, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Introduction
Todays topics:
Review: Fourier series
Properties of continuous time Fourier series
Intr
UCLA
Fall 2011
Systems and Signals
Lecture 7: Continuous-Time Fourier Series I
October 17, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Midterm
Oct. 26 2011
In class, 2 hours.
4 problems.
Closed book, closed notes.
You can bring 1 hand-
UCLA
Fall 2011
Systems and Signals
Lecture 7: Continuous-Time Fourier Series I
October 17, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Midterm
Oct. 26 2011
In class, 2 hours.
4 problems.
Closed book, closed notes.
You can bring 1 hand-
UCLA
Fall 2011
Systems and Signals
Lecture 6: Convolution
October 12, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Agenda
Homework 2 due in class at 10:00 am.
During grace period (after class and before 5:00 pm): TA oce hours
room (Enginee
UCLA
Fall 2011
Systems and Signals
Lecture 5: Time Domain System Analysis
October 10, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Time Domain Analysis of Continuous Time Systems
Todays topics
Zero-input and zero-state responses of a syste
UCLA
Fall 2011
Systems and Signals
Lecture 5: Time Domain System Analysis
October 10, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Time Domain Analysis of Continuous Time Systems
Todays topics
Zero-input and zero-state responses of a syste
UCLA
Fall 2011
Systems and Signals
Lecture 10: The Continuous Time Fourier Transform
October 31, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Introduction to Fourier Transforms
Fourier transform as a limit of Fourier series
Inverse Fourie
UCLA
Fall 2011
Systems and Signals
Lecture 11: Fourier Transform Theorems
November 2, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Administration
MATLAB Project
Opportunity to do hands-on signal processing
Will be handed out on Monday (N
UCLA
Fall 2011
Systems and Signals
Lecture 16: Time and Frequency Characterization of Systems and Signals
November 23, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Time & Frequency Characterization of Systems
Why use frequency domain?
Alte
UCLA
Fall 2011
Systems and Signals
Lecture 15: Inversion of Laplace Transform
November 21, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Review
Last class we introduced Laplace transform:
Generalizes Fourier transform
Allows handling of gr
UCLA
Fall 2011
Systems and Signals
Lecture 15: Inversion of Laplace Transform
November 21, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Review
Last class we introduced Laplace transform:
Generalizes Fourier transform
Allows handling of gr
UCLA
Fall 2011
Systems and Signals
Lecture 13: Introduction to Laplace Transform
November 09, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Administration
Review Session: Monday, Nov. 14.
Second Midterm: Wednesday, Nov. 16, 10:00am-12:00pm
UCLA
Fall 2011
Systems and Signals
Lecture 13: Introduction to Laplace Transform
November 09, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Administration
Review Session: Monday, Nov. 14.
Second Midterm: Wednesday, Nov. 16, 10:00am-12:00pm
UCLA
Fall 2011
Systems and Signals
Lecture 12: Fourier Transform and Frequency Response of Systems
November 7, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Todays topics:
Review
Fourier Transforms of periodic signals
Limiting transforms
UCLA
Fall 2011
Systems and Signals
Lecture 12: Fourier Transform and Frequency Response of Systems
November 7, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Todays topics:
Review
Fourier Transforms of periodic signals
Limiting transforms
UCLA
Fall 2011
Systems and Signals
Lecture 11: Fourier Transform Theorems
November 2, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Administration
MATLAB Project
Opportunity to do hands-on signal processing
Will be handed out on Monday (N
UCLA
Fall 2011
Systems and Signals
Lecture 4: Systems Characteristics
October 5, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Agenda
My oce hours is now T 2-4pm.
Zhongnans oce hour is now T 11-12pm.
EE102: Systems and Signals; Fall 2011,
UCLA
Fall 2011
Systems and Signals
Lecture 4: Systems Characteristics
October 5, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Agenda
My oce hours is now T 2-4pm.
Zhongnans oce hour is now T 11-12pm.
Discussion C (T 2-3pm) and D (T 3-4pm)
UCLA
Fall 2011
Systems and Signals
Lecture 14: Review II
November 14, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Continuous Time Fourier Series
Consider a complex exponential with s = j0, 1(t) = ej0t.
0
Its periodic with period T = 2 and
1
EE102
2010 Fall Midterm
Signals and Systems
Jin Hyung Lee
MIDTERM
Name:
UID:
You have 2 hours for 4 problems.
1. Show neat work in the clear spaces on this exam to convince us that you derived, not
guessed, your answers.
2. Show your nal answers in the
1
EE102
2010 Fall Midterm
Signals and Systems
Jin Hyung Lee
MIDTERM
Name:
UID:
You have 2 hours for 4 problems.
1. Show neat work in the clear spaces on this exam to convince us that you derived, not
guessed, your answers.
2. Show your nal answers in the
Systems and Signals
EE102
Lee, Fall 2011-12
Midterm Exam 2
NAME:
ID:
You have 2 hours for 4 questions.
Show enough (neat) work in the clear spaces on this exam to convince us that you
derived, not guessed, your answers.
Put your nal answers in the boxes
Systems and Signals
EE102
Lee, Fall 2011-12
Midterm Exam 1
NAME:
You have 2 hours for 4 questions.
Show enough (neat) work in the clear spaces on this exam to convince us that you
derived, not guessed, your answers.
Put your nal answers in the boxes at
UCLA
Fall 2011
Systems and Signals
Lecture 18: Sampling Theorem II
November 30, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Administration
Project due Wednesday Nov. 30 2011 at 10 am (grace period till 5 pm).
Submission Guidelines:
A sho
UCLA
Fall 2011
Systems and Signals
Lecture 18: Sampling Theorem II
November 30, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Administration
Project due Wednesday Nov. 30 2011 at 10 am (grace period till 5 pm).
Submission Guidelines:
A sho
UCLA
Fall 2011
Systems and Signals
Lecture 17: Sampling Theorem I
November 28, 2011
EE102: Systems and Signals; Fall 2011, Jin Hyung Lee
1
Agenda
Todays topics
Sampling of continuous-time signals
Interpolation of band-limited signals (Sampling theorem)