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Constructing an input signal whose response is determined by the impulse response

A more detailed proof based on Matt's answer. Let $n_0$ be the argument to $\max\{|y[n]|\}$, i.e. $\max\{|y[n]|\} = |y[n_0]|$. We can always find $x[n]$ as a series of +1's and -1's, s.t. $$|y[n_0]| = ...
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Constructing an input signal whose response is determined by the impulse response

You're right that you generally can't find a sequence $x[n]$ such that $$y[n]=\sum_{k=-\infty}^{\infty}\big|h[k]\big|\tag{1}$$ is satisfied for all values of $n$, but that's also not necessary. It is ...
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Analog LTI system impulse response

@Gunners Assuming that the $t$ variable is continuous then your system is continuous (analog). In which case there is no $H(z)$. As for the question: "What would you do to identify the impulse ...
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Convolution: graphing output y(t) with given input x(t) and impulse response h(t)

@Gunners You can work your problem in two parts. The first part is: the output with just the single +2 impulse input that occurs at time = 0 seconds. The second part is: the output with just the ...
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Impulse response out of a modal model, how is it gotten?

That's the impulse response of a generic damped resonant filter. Derivations abound. If you understand continuous-time frequency-domain analysis, consider a filter with transfer function $$H(s) = \...
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