Impulse Responses of LTI systems can be physically found by inputting
\(x[n] = \delta[n]\)
to the system and measuring the output. Assume that during the process, we inadvertently input
\(x[n] = \delta[n] + \delta[n-1]\)
instead and observed the output to be y[n] = u[n]. Can we still figure out the impulse response? And if so, what is it?