Difference between revisions of "ECE 280/Spring 2024/Test 1"

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(Created page with "This page lists the topics covered on the first test for Dr. Gustafson's section of ECE 280. The test will cover material through Homework 4 and convo...")
 
 
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This page lists the topics covered on the first test for Dr. Gustafson's section of [[ECE 280/Spring 2024|ECE 280]].  The test will cover material through Homework 4 and convolution.
 
This page lists the topics covered on the first test for Dr. Gustafson's section of [[ECE 280/Spring 2024|ECE 280]].  The test will cover material through Homework 4 and convolution.
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==Previous Tests==
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Dr. G's previous tests for ECE 280 (and ECE 54/64) are at the [http://classes.pratt.duke.edu/Gustafson/OmnibusTestBank.html Test Bank].  The first page of the Spring 2024 test will look much like the first page of the Fall 2023 test.
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==Test I Coverage==
 
==Test I Coverage==
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#* Solving for magnitude and phase in the AC steady state
 
#* Solving for magnitude and phase in the AC steady state
 
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==Previous Tests==
 
Dr. G's previous tests for ECE 280 (and ECE 54/64) are at the [http://classes.pratt.duke.edu/Gustafson/OmnibusTestBank.html Test Bank].
 
  
 
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Latest revision as of 17:32, 13 February 2024

This page lists the topics covered on the first test for Dr. Gustafson's section of ECE 280. The test will cover material through Homework 4 and convolution.


Previous Tests

Dr. G's previous tests for ECE 280 (and ECE 54/64) are at the Test Bank. The first page of the Spring 2024 test will look much like the first page of the Fall 2023 test.


Test I Coverage

  1. Signal properties
    • Aperiodic or periodic (and if periodic, what is the period?)
    • Energy (and if so, the total energy), power (and if so, the average power), or neither
    • Even or odd (and regardless, be able to find/sketch the even part and odd part for any signal)
  2. Independent and dependent variable transformations
    • Scaling, time shift, time scaling, time reversal
    • Given transformations make a sketch; given a sketch, determine the transformations
  3. Elementary signals
    • Exponentials
    • Impulse function $$\delta(t)$$ and its first four integrals ($$u(t)$$, $$r(t)$$, $$q(t)$$, and $$c(t)$$)
    • Quickly write a formula for piecewise functions made up of straight lines (i.e. accumulations of value and slope changes)
    • Impulse function $$\delta[n]$$ and unit step $$u[n]$$ for discrete signals
  4. Impulse and step response and their relationship to each other
    • Remember that the response to a series of scaled and shifted impulses is a series of similarly scaled and shifted impulse responses
    • Also remember that the response to a series of scaled and shifted step functions is a series of similarly scaled and shifted step responses
    • The response to anything more complicated than that will require convolution
  5. Convolution (continuous and discrete)
    • Meaning and use
    • Calculating using the integral/sum
    • Calculating using graphical convolution
    • Calculating using convolution properties for elementary signals - i.e. Speed Convolution!
  6. System properties (from system equation, impulse response $$h(t)$$ or $$h[n]$$, or step response $$s_r(t)$$ or $$s_r[n]$$)
    • Memoryless (note: if memoryless, then definitely also causal)
    • Causal (note: if non-causal, then definitely not memoryless either)
    • BIBO stable
    • Linear (automatic yes if impulse or step response is given)
    • Time Invariant (automatic yes if impulse or step response is given)
    • We will not ask about Invertible

Not covered on test 1

  1. Discrete-difference equation solutions
  2. Differential equation solutions
  3. Correlation
  4. Fourier Series
  5. Maple
  6. MATLAB
  7. Python