Скачать или смотреть Signals & Systems #16 | CT Graphical Convolution

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Learn graphical convolution for continuous-time signals! We derive the general formula u(t-a)*u(t-b) = r(t-(a+b)) and work through a complete rect*rect example, identifying five distinct time regions. An algebraic verification confirms the result.

Topics covered:
Shifted step convolution: u(t)*u(t-2)=r(t-2), u(t-2)*u(t-3)=r(t-5)
General formula: u(t-a)*u(t-b) = r(t-(a+b))
Graphical convolution method: flip, shift, integrate overlap
Complete example: rectangular pulse convolution → trapezoid
Five time regions: no overlap, partial entry, full overlap, partial exit, no overlap
Algebraic verification using distributive property

Part of the Signals & Systems series based on ECE 218.
Lecture 7 — Part 2 of 2.

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