Digital Signal Processing Practice Test 2

1. What is the system function of the system described by the difference equation y(n)=0.5y(n-1)+2x(n)?

2. If x₁(n)={1,2,3} and x₂(n)={1,1,1}, then what is the convolution sequence of the given two signals?

3. The Fourier series representation of any signal x(t) is defined as ___________

4. A linear time invariant system is characterized by the system function H(z)=\(\frac{1}{1-0.5z^{-1}}+\frac{2}{1-3z^{-1}}\). What is the h(n) if the system is stable?

5. What is the nature of the signal whose pole-zero plot is as shown?

6. What are the values of z for which the value of X(z)=0?

7. What is the ROC of z-transform of finite duration anti-causal sequence?

8. Which of the following is the Fourier series representation of the signal x(t)?

9. Which of the following is a Dirichlet condition with respect to the signal x(t)?

10. A linear time invariant system is characterized by the system function H(z)=\(\frac{1}{1-0.5z^{-1}}+\frac{2}{1-3z^{-1}}\). What is the ROC of H(z) if the system is causal?