HOW TO PROVE INVERTIBILITY! | Signals & Systems Worked Examples + Inverse Systems
visual, accessibile explanations for RElearning
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HOW TO PROVE INVERTIBILITY! | Signals & Systems Worked Examples + Inverse Systems
3 просмотра · 13 дн. назад
visual, accessibile explanations for RElearning
5 подписчиков
3 просмотра · 13 дн. назад
Video Description
Okay gang, we know what invertibility MEANS... but how do we actually PROVE a system is invertible or noninvertible? 😭
In Part 2 of our Signals & Systems invertibility series, we're putting the formulas into practice with actual textbook-style examples from Michael D. Adams's Signals and Systems.
In this tutorial, we'll cover:
Proving invertibility by finding the inverse system
Solving for the original input from the output
Handling time shifts and amplitude scaling
Proving noninvertibility using two different inputs with identical outputs
Understanding why sine functions and odd-part systems can lose information
Writing mathematical justifications suitable for ECE 265 exams
THE MEMORY TRICK:
Invertible? UNDO IT.
Not invertible? TWO IN, ONE OUT.
Based on Adams's textbook, Section 3.8.3, Examples 3.24–3.27.
#SignalsAndSystems #ElectricalEngineering #Invertibility #InverseSystems #ECE265 #EngineeringMath #GenZTutor
Next one will cover the last few of these topics we sped thru.