Tutorial: Stability

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Learn how to determine whether or not a system is stable in the bounded-input bounded-output (BIBO) sense, with examples.

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Shouldn't the output be equal to the current input times the next input? Because x(n-1) is shifted to the right which means it is delayed so it should be the next input

andrewschroeder
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So would it be true to say "Take the limit of the signal to infinity to find Bx, and do the same for the output signal to find By. If By is less than twice the value of Bx then the system is BIBO stable?

 

ctoney
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What allows you to state that Bx is not infinite .... we know nothing about the nature of the input x(n)

Aryetis