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(Solved): Problem 14: Consider a linear time invariant system described by the following difference equation: ...
Problem 14:
Consider a linear time invariant system described by the following difference equation:
y[n]=(1)/(4)(x[n]+2x[n-1]+x[n-2])
Suppose for an input sequence x_(1)[n]=cos(\omega _(0)n) with 0<=\omega _(0)<2\pi , the output sequence is
y_(1)[n]=0 for all n. Find \omega _(0).
If the input is x_(2)[n]=cos((\pi n)/(2)), determine the output sequence y_(2)[n] in its simplest possible
form.