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*[[DT processing of CT signals]] | *[[DT processing of CT signals]] | ||
*[[About Laplace transform]] | *[[About Laplace transform]] | ||
| + | |||
| + | ==Practice Problems== | ||
| + | *Review of complex numbers | ||
| + | **[[Magnitude complex numbers ECE301S11|Compute the magnitude of these three complex numbers]] | ||
| + | **[[Magnitude complex CT signals ECE301S11|Compute the magnitude of these two CT signals]] | ||
| + | **[[Magnitude complex DT signals ECE301S11|Compute the magnitude of these three DT signals]] | ||
| + | *Signal Power and Energy | ||
| + | **[[Signal power energy exercise CT ECE301S11|Compute the power and energy of the following CT signal]] | ||
| + | **[[Signal power energy exercise DT ECE301S11|Compute the power and energy of the following DT signal]] | ||
| + | *Transformation of the independent variable | ||
| + | **[[Cascade time delay and time scaling CT ECE301S11|Cascade the following time delay and time scaling]] | ||
| + | *Basic Signal Properties | ||
| + | **[[Invertibility_of_a_system_ECE301S11|Is the following system invertible?]] | ||
| + | **[[Stability_of_a_system_ECE301S11|Is the following system stable?]] | ||
| + | *Linearity and time invariance | ||
| + | **[[Time_invariance_of_a_system_ECE301S11|Is the following system time-invariant?]] | ||
| + | **[[Linearity_of_a_system_ECE301S11|Is the following system linear?]] | ||
| + | ***Please comment on the following solution to a related problem | ||
| + | ****[[Answer_from_a_previous_student_Time_invariance_of_a_system_please_comment_ECE301S11|Time-invariance of a system proved by a previous student]] | ||
| + | *Computing the output of an LTI system by convolution | ||
| + | **[[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|Another one like this]] | ||
| + | ***[[output_of_LTI_DT_system_by_convolution_no3_ECE301S11|And another one]] | ||
| + | ***[[output_of_LTI_DT_system_by_convolution_no4_ECE301S11|And another one]] | ||
| + | ***[[output_of_LTI_DT_system_by_convolution_no5_ECE301S11|And another one]] | ||
| + | ***[[output_of_LTI_DT_system_by_convolution_no6_ECE301S11|And another one]] | ||
| + | ***[[output_of_LTI_DT_system_by_convolution_no7_ECE301S11|And another one]] | ||
| + | ***[[output_of_LTI_DT_system_by_convolution_no8_ECE301S11|And another one]] | ||
| + | **[[output_of_LTI_CT_system_by_convolution_ECE301S11|Compute the output of the following CT LTI system]] | ||
| + | *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_pulse_train_CT_ECE301S11|Obtain the Fourier series coefficients of this CT pulse-train]] | ||
| + | *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_pulse_train_CT_ECE301S11|Obtain the Fourier series coefficients of this DT pulse-train]] | ||
== Interesting pages in the ECE301 category == | == Interesting pages in the ECE301 category == | ||
Revision as of 18:15, 2 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
- Is the following system time-invariant?
- Is the following system linear?
- Please comment on the following solution to a related problem
- Computing the output of an 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
- Practice problem on proving time-invariance
- A collective page to practice computing Fourier series of a CT signal
- A collective page to practice computing Fourier series of a DT signal
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.
