| Line 51: | Line 51: | ||
**[[Time_invariance_of_a_system_ECE301S11|Is the following system time-invariant?]] | **[[Time_invariance_of_a_system_ECE301S11|Is the following system time-invariant?]] | ||
**[[Linearity_of_a_system_ECE301S11|Is the following system linear?]] | **[[Linearity_of_a_system_ECE301S11|Is the following system linear?]] | ||
| − | + | *[[Exercise_1_ECE301Fall2008mboutin|Practice problem on proving time-invariance]] | |
| − | + | *Computing the output of a DT LTI system by convolution | |
| − | *Computing the output of | + | |
**[[output_of_LTI_DT_system_by_convolution_ECE301S11|Compute the output of the following DT LTI system]] | **[[output_of_LTI_DT_system_by_convolution_ECE301S11|Compute the output of the following DT LTI system]] | ||
| − | + | **[[output_of_LTI_DT_system_by_convolution_no2_ECE301S11|Compute the output of the following DT LTI system]] | |
| − | + | **[[output_of_LTI_DT_system_by_convolution_no3_ECE301S11|Compute the output of the following DT LTI system]] | |
| − | + | **[[output_of_LTI_DT_system_by_convolution_no4_ECE301S11|Compute the output of the following DT LTI system]] | |
| − | + | **[[output_of_LTI_DT_system_by_convolution_no5_ECE301S11|Compute the output of the following DT LTI system]] | |
| − | + | **[[output_of_LTI_DT_system_by_convolution_no6_ECE301S11|Compute the output of the following DT LTI system]] | |
| − | + | **[[output_of_LTI_DT_system_by_convolution_no7_ECE301S11|Compute the output of the following DT LTI system]] | |
| − | + | **[[output_of_LTI_DT_system_by_convolution_no8_ECE301S11|Compute the output of the following DT LTI system]] | |
| + | *Computing the output of a CT LTI system by convolution | ||
**[[output_of_LTI_CT_system_by_convolution_ECE301S11|Compute the output of the following CT LTI system]] | **[[output_of_LTI_CT_system_by_convolution_ECE301S11|Compute the output of the following CT LTI system]] | ||
| + | **[[output_of_LTI_CT_system_by_convolution_no2_ECE301S11|Compute the output of the following CT LTI system]] | ||
| + | **[[output_of_LTI_CT_system_by_convolution_no3_ECE301S11|Compute the output of the following CT LTI system]] | ||
| + | **[[output_of_LTI_CT_system_by_convolution_no4_ECE301S11|Compute the output of the following CT LTI system]] | ||
*Computing the Fourier series coefficients of a CT signal | *Computing the Fourier series coefficients of a CT signal | ||
**[[Fourier_series_coefficients_sinusoidal_CT_ECE301S11|Obtain the Fourier series coefficients of this CT sinusoidal]] | **[[Fourier_series_coefficients_sinusoidal_CT_ECE301S11|Obtain the Fourier series coefficients of this CT sinusoidal]] | ||
**[[Fourier_series_coefficients_pulse_train_CT_ECE301S11|Obtain the Fourier series coefficients of this CT pulse-train]] | **[[Fourier_series_coefficients_pulse_train_CT_ECE301S11|Obtain the Fourier series coefficients of this CT pulse-train]] | ||
| + | **[[Recommended_exercise_Fourier_series_computation|A page containing several practice problems on computing Fourier series of a CT signal]] | ||
*Computing the Fourier series coefficients of a DT signal | *Computing the Fourier series coefficients of a DT signal | ||
**[[Fourier_series_coefficients_sinusoidal_DT_ECE301S11|Obtain the Fourier series coefficients of this DT sinusoidal]] | **[[Fourier_series_coefficients_sinusoidal_DT_ECE301S11|Obtain the Fourier series coefficients of this DT sinusoidal]] | ||
**[[Fourier_series_coefficients_pulse_train_CT_ECE301S11|Obtain the Fourier series coefficients of this DT pulse-train]] | **[[Fourier_series_coefficients_pulse_train_CT_ECE301S11|Obtain the Fourier series coefficients of this DT pulse-train]] | ||
| + | **[[Recommended_exercise_Fourier_series_computation_DT|A page containing several practice problems on computing Fourier series of a CT signal]] | ||
== Interesting pages in the ECE301 category == | == Interesting pages in the ECE301 category == | ||
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*A mystery about complex number: why is <span class="texhtml">''e''<sup>''j''2π''t''</sup></span> not equal to one? More precisely, why can't one say that <span class="texhtml">''e''<sup>''j''2π''t''</sup> = (''e''<sup>''j''2π</sup>)<sup>''t''</sup> = 1<sup>''t''</sup> = 1</span>? Please discuss [[Main Page ECE301Fall2008chihw|here]]. | *A mystery about complex number: why is <span class="texhtml">''e''<sup>''j''2π''t''</sup></span> not equal to one? More precisely, why can't one say that <span class="texhtml">''e''<sup>''j''2π''t''</sup> = (''e''<sup>''j''2π</sup>)<sup>''t''</sup> = 1<sup>''t''</sup> = 1</span>? Please discuss [[Main Page ECE301Fall2008chihw|here]]. | ||
*[[Examples_ECE301Fall2008mboutin|Some practice exam problems]] | *[[Examples_ECE301Fall2008mboutin|Some practice exam problems]] | ||
| − | |||
| − | |||
| − | |||
*[[ECE_301_Fall_2007_mboutin_AM_and_FM_Radio| AM and FM Radio, from Fall 2007]] | *[[ECE_301_Fall_2007_mboutin_AM_and_FM_Radio| AM and FM Radio, from Fall 2007]] | ||
Revision as of 12:17, 9 February 2011
Contents
ECE 301: Signals and Systems
Peer Legacy
Share advice with future students regarding ECE301 on this page.
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
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
- Review of complex numbers
- Signal Power and Energy
- Transformation of the independent variable
- Basic Signal Properties
- Linearity and time invariance
- 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
- Computing the Fourier series coefficients of a CT signal
- Computing the Fourier series coefficients of a DT signal
Interesting pages in the ECE301 category
- 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 ej2πt not equal to one? More precisely, why can't one say that ej2πt = (ej2π)t = 1t = 1? Please discuss here.
- Some practice exam problems
- AM and FM Radio, from Fall 2007
Semester/Instructor specific pages
- 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.
