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<center><font size= 4>
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''' [[ECE]] 301: Signals and Systems'''
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</font size>
  
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= [[ECE]] 301: Signals and Systems  =
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Lecture Notes
  
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[[ECE301_signals_systems_videos|Videos]]
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[[Signals and systems practice problems list|Practice Problems]]
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</center>
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----
 
== Peer Legacy  ==
 
== Peer Legacy  ==
 +
[[Peer Legacy ECE301|Advice from past ECE301 students to future/prospective students]].
 +
==Top Student Contributed Material==
  
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Share advice with future students regarding ECE301 on [[Peer Legacy ECE301|this page]].  
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*[[Zachary Curosh - Frequency Response and Difference Equations ECE301Fall2008mboutin|How to get the frequency response of a system defined by a difference equation]]
 +
*[[Video Tutorial on How to Cascade Transformations of the Independent Variable|Cascading transformations of the independent variable, a video tutorial]]
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*[[Homework 1 ECE301Fall2008mboutin|301 students playing music with Matlab]]  
 +
*[[HW1.4 Ben Laskowski - Periodic and Non-Periodic Functions ECE301Fall2008mboutin|Animated example of periodic function]]
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*[[Hw1periodicECE301f08profcomments|Two things you should know about periodic and non-periodic signals]]
 +
*[[What are all these symbols?! ECE301Fall2008mboutin|What are all these symbols? (from Fall 2008)]]
 +
*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]]
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*[[ECE 301 Fall 2007 mboutin AM and FM Radio|AM and FM Radio, from Fall 2007]]
  
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== Official Textbook ==
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----
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*Official textbook: "Signals and Systems", by Oppenheim, Willsky, and Nawab.
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== Relevant [[Collective Table of Formulas|Formulas]] ==
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== Textbook supplements/alternatives ==
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*"Fundamentals of Signals & Systems", by M.J. Roberts
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**[[Review of an alternative book by M.J. Roberts‎|Review of M.J. Roberts book by a student]]
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**[[Textbook_Review:_Fundamentals_of_Signals_%26_Systems_MJR|Another review of M.J. Roberts book by a student]]
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*"Schaum's outline on "signals and Systems"
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**[[Book_Review/Bhakti|Review of Schaum's outline of Signals and Systems" by a student]]
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==Lecture Notes==
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*Spring 2011, Prof. Boutin
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**[[2011_Spring_ECE_301_Bouton_Notes|Lecture Notes by Ethan Hall]]
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**[[Lecture 10 online ECE301S11 Prof Boutin|Instructor's notes for Lecture 10]] (online lecture due to bad weather)
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*Fall 2008, Prof. Boutin
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**[[lecture1_ECE301Fall2008mboutin|Lecture 1]]: Intro; Example of DT signal (text) and system (enigma machine).
+
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**[[Lecture2_ECE301Fall2008mboutin|Lecture 2]]: Example of CT signal (sound); Creating sounds in Matlab; Example of linear system.
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**[[lecture3_ECE301Fall2008mboutin|Lecture 3]]: Transformation of Independent Variables
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**[[Lecture4_ECE301Fall2008mboutin|Lecture 4]]:
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**[[Lecture5_ECE301Fall2008mboutin|Lecture 5]]: Cascading Systems
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**[[lecture6_ECE301Fall2008mboutin|Lecture 6]]: Causality, Stability, Time Invariance
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**[[lecture7_ECE301Fall2008mboutin|Lecture 7]]:
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**[[lecture8_ECE301Fall2008mboutin|Lecture 8]]:
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**[[lecture9_ECE301Fall2008mboutin|Lecture 9]]:
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**[[lecture10_ECE301Fall2008mboutin|Lecture 10]]:
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**[[lecture11_ECE301Fall2008mboutin|Lecture 11]]:
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**[[Lecture17_ECE301Fall2008mboutin|Lecture 17]]: FTs and the f response, differential equations
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**[[Lecture18_ECE301Fall2008mboutin|Lecture 18]]
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**[[Lecture19_ECE301Fall2008mboutin|Lecture 19]]: TA Example Session w/ DT Fourier Transforms and inverses
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*Fall 2007, Prof. Boutin
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**[[ECE_301_Fall_2007_mboutin_Course_Notes|Notes by various students (mostly PDFs)]]
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**[[Image:ECE_301_Fall_2007_Lecture12_04.pdf|Dec. 4 Lecture, Fall 2007 (on x-Transform)]]
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==Relevant Videos ==
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*'''How the Fourier Transform Works, by Prof. Joseph Havlicek'''
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::<youtube>Z65Xz_TR9S8</youtube>
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*'''Signal Modulation with a complex exponential'''=
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::<youtube>BYeCPmlwUQ0</youtube>
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=  How to Cascade Transformations of the Independent Variable<br>  =
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::<youtube>EUseoMdtq_g</youtube>
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== Relevant [[Collective_Table_of_Formulas|Tables of Formulas]] ==
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*[[ComplexNumberFormulas|Complex Number Identities and Formulas]]  
 
*[[ComplexNumberFormulas|Complex Number Identities and Formulas]]  
 
*[[PowerSeriesFormulas|Power Series]]  
 
*[[PowerSeriesFormulas|Power Series]]  
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*[[SignalMetricsFormula|Signal Metrics Definitions and Formulas]]  
 
*[[SignalMetricsFormula|Signal Metrics Definitions and Formulas]]  
 
*[[LaplaceTransformPairsCollectedfromECE301|Laplace Transform Pairs and Properties]]  
 
*[[LaplaceTransformPairsCollectedfromECE301|Laplace Transform Pairs and Properties]]  
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*[[CT_Fourier_Transform_(frequency_in_radians_per_time_unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of <span class="texhtml">ω</span> in radians)  
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*[[CT Fourier Transform (frequency in radians per time unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of <span class="texhtml">ω</span> in radians)  
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*[[Table_DT_Fourier_Transforms|Discrete-time Fourier Transform Pairs and Properties]]
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*[[Table DT Fourier Transforms|Discrete-time Fourier Transform Pairs and Properties]]
 +
----
 +
== Lecture Notes ==
 +
*Spring 2011, Prof. Boutin
 +
**[[2011 Spring ECE 301 Bouton Notes|Lecture Notes by Ethan Hall]]
 +
**[[Lecture 10 online ECE301S11 Prof Boutin|Instructor's notes for Lecture 10]] (online lecture due to bad weather)
 +
*Fall 2008, Prof. Boutin
 +
**[[Lecture1 ECE301Fall2008mboutin|Lecture 1]]: Intro; Example of DT signal (text) and system (enigma machine).
 +
**[[Lecture2 ECE301Fall2008mboutin|Lecture 2]]: Example of CT signal (sound); Creating sounds in Matlab; Example of linear system.
 +
**[[Lecture3 ECE301Fall2008mboutin|Lecture 3]]: Transformation of Independent Variables
 +
**[[Lecture4 ECE301Fall2008mboutin|Lecture 4]]:
 +
**[[Lecture5 ECE301Fall2008mboutin|Lecture 5]]: Cascading Systems
 +
**[[Lecture6 ECE301Fall2008mboutin|Lecture 6]]: Causality, Stability, Time Invariance
 +
**[[Lecture7 ECE301Fall2008mboutin|Lecture 7]]:
 +
**[[Lecture8 ECE301Fall2008mboutin|Lecture 8]]:
 +
**[[Lecture9 ECE301Fall2008mboutin|Lecture 9]]:
 +
**[[Lecture10 ECE301Fall2008mboutin|Lecture 10]]:
 +
**[[Lecture11 ECE301Fall2008mboutin|Lecture 11]]:
 +
**[[Lecture17 ECE301Fall2008mboutin|Lecture 17]]: FTs and the f response, differential equations
 +
**[[Lecture18 ECE301Fall2008mboutin|Lecture 18]]
 +
**[[Lecture19 ECE301Fall2008mboutin|Lecture 19]]: TA Example Session w/ DT Fourier Transforms and inverses
 +
*Fall 2007, Prof. Boutin
 +
**[[ECE 301 Fall 2007 mboutin Course Notes|Notes by various students (mostly PDFs)]]
 +
**[[Image:ECE 301 Fall 2007 Lecture12 04.pdf|Dec. 4 Lecture, Fall 2007 (on x-Transform)]]
 +
----
 +
== Course Wikis  ==
  
−
==Review of pre-requisites==
+
*[[2013 Spring ECE 301 Krogmeier|Spring 2013, Prof. Krogmeier]]  
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*[[More_on_complex_numbers|A hub page about Complex numbers]]
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*[[2011 Fall ECE 301 Pollak|ECE301: Spring 2011, Prof. Pollak]]  
−
 
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*[[2011 Spring ECE 301 Boutin|ECE301: Spring 2011, Prof. Boutin]]  
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==Main Topics in ECE301==
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*[[2010 Fall ECE 301 Pollak|ECE 301 Fall 2010 Professor Pollak]]  
−
*Continuous-time signal [[Signal_power_CT|energy]] and [[Signal_power_CT|power]]
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*Discrete-time signal [[Signal_power_DT|energy]] and [[Signal_power_DT|power]]
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*[[Signal_periodicity_hub|Periodic and non-periodic signals]]
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*[[Systems properties]]
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*[[Computing_the_output_of_a_DT_system_using_the_Convolution_sum|Computing the output of a DT system using the Convolution sum]]
+
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*[[Computing_the_output_of_a_CT_system_using_the_Convolution_sum|Computing the output of a CT system using the Convolution Integral]]
+
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*[[Fourier Series]]
+
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*[[Continuous-time Fourier transform]]
+
−
*[[Discrete-time Fourier transform]]
+
−
*[[Modulation]]
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*[[Sampling Theorem]]
+
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*[[DT processing of CT signals]]
+
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*[[About Laplace transform]]
+
−
 
+
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==Practice Problems for Signals and Systems==
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−
Here is a short list of practice problems related to Signals and Systems. Click [[Signals_and_systems_practice_problems_list|here]] for more [[Signals_and_systems_practice_problems_list|practice problems on Signals and Systems]].
+
−
*Review of complex numbers
+
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**[[Magnitude complex numbers ECE301S11|Compute the magnitude of these three complex numbers]]
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**[[Magnitude complex CT signals ECE301S11|Compute the magnitude of these two CT signals]]
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**[[Magnitude complex DT signals ECE301S11|Compute the magnitude of these three DT signals]]
+
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*Signal Power and Energy
+
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**[[Signal power energy exercise CT ECE301S11|Compute the power and energy of the following CT signal]]
+
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**[[Signal power energy exercise DT ECE301S11|Compute the power and energy of the following DT signal]]
+
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*Transformation of the independent variable
+
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**[[Cascade time delay and time scaling CT ECE301S11|Cascade the following time delay and time scaling]]
+
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*Basic System Properties
+
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**[[Invertibility_of_a_system_ECE301S11|Is the following system  invertible?]]
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**[[Stability_of_a_system_ECE301S11|Is the following system  stable?]]
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*Linearity and time invariance of a system
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**[[Time_invariance_of_a_system_ECE301S11|Is the following system time-invariant?]]
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**[[Linearity_of_a_system_ECE301S11|Is the following system linear?]]
+
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*[[Exercise_1_ECE301Fall2008mboutin|Practice problem on proving time-invariance]]
+
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*Computing the output of a DT 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|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_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
+
−
**[[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]]
+
−
**[[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
+
−
**[[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]]
+
−
**[[Recommended_exercise_Fourier_series_computation_DT|A page containing several practice problems on computing Fourier series of a CT signal]]
+
−
*[[Signals_and_systems_practice_problems_list|More]] collectively solved [[Signals_and_systems_practice_problems_list|practice problems for Signals and Systems]].
+
−
 
+
−
== Interesting pages in the ECE301 category  ==
+
−
*[[Zachary_Curosh_-_Frequency_Response_and_Difference_Equations_ECE301Fall2008mboutin|How to get the frequency response of a system defined by a difference equation]]
+
−
*[[Video_Tutorial_on_How_to_Cascade_Transformations_of_the_Independent_Variable|Cascading transformations of the independent variable, a video tutorial]]
+
−
*[[Homework_1_ECE301Fall2008mboutin|301 students playing music with Matlab]]
+
−
*[[HW1.4_Ben_Laskowski_-_Periodic_and_Non-Periodic_Functions_ECE301Fall2008mboutin|Animated example of periodic function]]
+
−
*[[Hw1periodicECE301f08profcomments|Two things you should know about periodic and on-periodic signals]]
+
−
*[[What are all these symbols?! ECE301Fall2008mboutin|What are all these symbols? (from Fall 2008)]]
+
−
*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]]
+
−
*[[ECE_301_Fall_2007_mboutin_AM_and_FM_Radio| AM and FM Radio, from Fall 2007]]
+
−
 
+
−
== Semester/Instructor specific pages  ==
+
−
*[[2013_Spring_ECE_301_Krogmeier|Spring 2013, Prof. Krogmeier]]
+
−
*[[2011_Fall_ECE_301_Pollak|ECE301: Spring 2011, Prof. Pollak]]
+
−
*[[2011_Spring_ECE_301_Boutin|ECE301: Spring 2011, Prof. Boutin]]
+
−
*[[2010_Fall_ECE_301_Pollak|ECE 301 Fall 2010 Professor Pollak]]
+
 
*[[ECE301 (BoumanFall2009)|ECE 301 Fall 2009 Prof. Bouman]]  
 
*[[ECE301 (BoumanFall2009)|ECE 301 Fall 2009 Prof. Bouman]]  
 
*[[ECE301 (HuffmalmSummer2009)|ECE 301 Summer 2009 Landis Huffman]]  
 
*[[ECE301 (HuffmalmSummer2009)|ECE 301 Summer 2009 Landis Huffman]]  
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*[[ECE 301 (BoutinFall2007)|ECE 301 Fall 2007 Prof. Boutin]]  
 
*[[ECE 301 (BoutinFall2007)|ECE 301 Fall 2007 Prof. Boutin]]  
 
*[[Main Page ECE301Fall2008chihw|ECE 301 Fall 2008 Professor Wang]]
 
*[[Main Page ECE301Fall2008chihw|ECE 301 Fall 2008 Professor Wang]]
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== Related Courses  ==
 
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*Systems and Fourier Transforms are going to be very important in [[ECE438]].
 
  
 
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----
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[[ECE|Back to ECE]]  
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[[Meta_Course_List|Back to course list]]
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[[ECE|Back to ECE]]
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[[Category:ECE301]]
 
[[Category:ECE301]]

Revision as of 15:57, 21 April 2013

ECE 301: Signals and Systems

Lecture Notes

Videos

Practice Problems

Peer Legacy

Advice from past ECE301 students to future/prospective students.

Top Student Contributed Material

Relevant Formulas

Lecture Notes

Course Wikis

Back to ECE

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