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15:5315:53, 30 September 2026 ECE 280/Fall 2026/Test 1 (hist | edit) [3,760 bytes] DukeEgr93 (talk | contribs) (Created page with "This page lists the topics covered on the first test of ECE 280. The test will cover material through Homework 4 and convolution. * Dr. Gustafson's previous tests are at [http://classes.pratt.duke.edu/Gustafson/OmnibusTestBank.html http://classes.pratt.duke.edu/Gustafson/OmnibusTestBank.html] * The equation sheet for Dr. Gustafson's test will be provided and will effectively be the same as the last page of Dr. G's Fall 2025 test [http://classes.p...")

16:5816:58, 28 September 2026 Linear Constant Coefficient Differential Equations (hist | edit) [30,643 bytes] DukeEgr93 (talk | contribs) (Created page with "== Introduction == This is a step-by-step guide for finding the impulse response for Linear Constant Coefficient Differential Equations (LCCDE). Once you find the impulse response, you can find the response to any other input signal using continuous convolution. == Very Basic First Derivative == Let's start with the simplest case: <center><math>\frac{dy(t)}{dt}+a_0\,y(t)=x(t)</math></center> Rather than solving for the impulse response directly with a singular delta f...")

13:2513:25, 25 September 2026 Graphical Convolution (hist | edit) [3,195 bytes] DukeEgr93 (talk | contribs) (Created page with "Graphical convolution is a technique for performing the convolution of two signals. It requires knowing the piecewise representation of each signal. The final result will be a series of expressions for the convolution along with relational operators to indicate when each expression is relevant. == Introduction == The convolution operator <math>*</math> represents the follownig operation:<center><math>\begin{align*} y(t)&=x(t)*h(t)\\ ~&=\int_{-\infty}^{\infty}x(\tau)\,h...")