13.
The impulse response h[n] of a linear time-invariant system is given by h[n] = u[n + 3] + u[n - 2] - 2u[n - 7] where u[n] is the unit step sequence. The above system is

14.
If z0 is a zero of a (real-valued) linear-phase FIR filter then following is/are also zero/zeros of a (real-valued) linear-phase FIR filter,

16.
It is possible to compute the cross-correlation Rxy(τ) between two signals x(t) and y(t) directly from their convolution provided

18.
The linear constant coefficient difference equation $$y\left( n \right) - \frac{1}{2}y\left( {n - 1} \right) = x\left( n \right) + \frac{1}{3}x\left( {n - 1} \right)$$        lead to

19.
If the lower limit of Region of Convergence (ROC) is greater than the upper limit of ROC, the series $$X\left( z \right) = \sum\nolimits_{n = - \infty }^\infty {x\left( n \right){z^{ - n}}} $$

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