ECE 301: Signals and Systems

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Official Textbook

• Official textbook: "Signals and Systems", by Oppenheim, Willsky, and Nawab.

Textbook supplements/alternatives

• "Fundamentals of Signals & Systems", by M.J. Roberts
  • Review of M.J. Roberts book by a student
  • Another review of M.J. Roberts book by a student

• "Schaum's outline on "signals and Systems"
  • Review of Schaum's outline of Signals and Systems" by a student

Lecture Notes

• Spring 2011, Prof. Boutin
  • Lecture Notes by Ethan Hall
  • Instructor's notes for Lecture 10 (online lecture due to bad weather)
• Fall 2008, Prof. Boutin
  • Lecture 1: Intro; Example of DT signal (text) and system (enigma machine).
  • Lecture 2: Example of CT signal (sound); Creating sounds in Matlab; Example of linear system.
  • Lecture 3: Transformation of Independent Variables
  • Lecture 4:
  • Lecture 5: Cascading Systems
  • Lecture 6: Causality, Stability, Time Invariance
  • Lecture 7:
  • Lecture 8:
  • Lecture 9:
  • Lecture 10:
  • Lecture 11:
  • Lecture 17: FTs and the f response, differential equations
  • Lecture 18
  • Lecture 19: TA Example Session w/ DT Fourier Transforms and inverses
• Fall 2007, Prof. Boutin
  • Notes by various students (mostly PDFs)
  • File:ECE 301 Fall 2007 Lecture12 04.pdf

Relevant Videos

• How the Fourier Transform Works, by Prof. Joseph Havlicek

• Signal Modulation with a complex exponential=

How to Cascade Transformations of the Independent Variable

Relevant Tables of Formulas

• Complex Number Identities and Formulas
• Power Series
• basic signals and functions
• Signal Metrics Definitions and Formulas
• Laplace Transform Pairs and Properties
• Continuous-time Fourier Transform Pairs and Properties (function of ω in radians)
• Discrete-time Fourier Transform Pairs and Properties

Review of pre-requisites

• A hub page about Complex numbers

Main Topics in ECE301

• Continuous-time signal energy and power
• Discrete-time signal energy and power
• Periodic and non-periodic signals
• Systems properties
• Computing the output of a DT system using the Convolution sum
• Computing the output of a CT system using the Convolution Integral
• Fourier Series
• Continuous-time Fourier transform
• Discrete-time Fourier transform
• Modulation
• Sampling Theorem
• DT processing of CT signals
• About Laplace transform

Practice Problems for Signals and Systems

Here is a short list of practice problems related to Signals and Systems. Click here for more practice problems on Signals and Systems.

• Review of complex numbers
  • Compute the magnitude of these three complex numbers
  • Compute the magnitude of these two CT signals
  • Compute the magnitude of these three DT signals
• Signal Power and Energy
  • Compute the power and energy of the following CT signal
  • Compute the power and energy of the following DT signal
• Transformation of the independent variable
  • Cascade the following time delay and time scaling
• Basic System Properties
  • Is the following system invertible?
  • Is the following system stable?
• Linearity and time invariance of a system
  • Is the following system time-invariant?
  • Is the following system linear?
• Practice problem on proving time-invariance
• Computing the output of a DT LTI system by convolution
  • Compute the output of the following DT LTI system
  • Compute the output of the following DT LTI system
  • Compute the output of the following DT LTI system
  • Compute the output of the following DT LTI system
  • Compute the output of the following DT LTI system
  • Compute the output of the following DT LTI system
  • Compute the output of the following DT LTI system
  • Compute the output of the following DT LTI system
• Computing the output of a CT LTI system by convolution
  • Compute the output of the following CT LTI system
  • Compute the output of the following CT LTI system
  • Compute the output of the following CT LTI system
  • Compute the output of the following CT LTI system
• Computing the Fourier series coefficients of a CT signal
  • Obtain the Fourier series coefficients of this CT sinusoidal
  • Obtain the Fourier series coefficients of this CT pulse-train
  • A page containing several practice problems on computing Fourier series of a CT signal
• Computing the Fourier series coefficients of a DT signal
  • Obtain the Fourier series coefficients of this DT sinusoidal
  • Obtain the Fourier series coefficients of this DT pulse-train
  • A page containing several practice problems on computing Fourier series of a CT signal
• More collectively solved practice problems for Signals and Systems.

Interesting pages in the ECE301 category

• How to get the frequency response of a system defined by a difference equation
• Cascading transformations of the independent variable, a video tutorial
• 301 students playing music with Matlab
• Animated example of periodic function
• Two things you should know about periodic and on-periodic signals
• What are all these symbols? (from Fall 2008)
• A mystery about complex number: why is e^j2πt not equal to one? More precisely, why can't one say that e^j2πt = (e^j2π)^t = 1^t = 1? Please discuss here.
• Some practice exam problems
• AM and FM Radio, from Fall 2007

Semester/Instructor specific pages

• ECE301: Spring 2011, Prof. Pollak
• ECE301: Spring 2011, Prof. Boutin
• ECE 301 Fall 2010 Professor Pollak
• ECE 301 Fall 2009 Prof. Bouman
• ECE 301 Summer 2009 Landis Huffman
• ECE 301 Spring 2009 Prof. Lehnert
• ECE 301 Fall 2008 Professor Boutin
• ECE 301 Summer 2008 Aung San
• ECE 301 Fall 2007 Prof. Boutin
• ECE 301 Fall 2008 Professor Wang

Related Courses

• Systems and Fourier Transforms are going to be very important in ECE438.

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