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(Solved): 2) Determine if the system causal and stable or Not: \[ \begin{array}{l} \text { a) } y(n)-2 y(n-1 ...
2) Determine if the system causal and stable or Not: \[ \begin{array}{l} \text { a) } y(n)-2 y(n-1)=2 x(n) \\ \text { b/ } 2 y(n)-y(n-1)=2 x(n) \end{array} \] 3 Find linear convolution \( y(n)=h(n) * x(n) \), assuming it's Periodic with 3 \[ \begin{array}{l} x(n)=2 \cdot \delta(n)-3 \delta(n-1)+4 \delta(n-2) \\ h(n)=-\delta(n)+2 \delta(n-1) \end{array} \] 4 Find Nyquist rate of \[ \cos (100 \pi t) \cos (400 \pi t)-\sin (600 \pi t) \]
Expert Answer
2).(a).Given that; y(n)?2y(n?1)=2x(n). by taking z-Transform, Y(Z)?2Z?1Y(Z)=2X(Z). Y(Z)X(Z)=21?2Z?1. For a system to be causal and stab