166. If δ(t) denote the delta function, then value of the integral
     

1. 1. 1

   
   
   

   2. – 1

   
   
   

   3. 0

   
   
   

   4. π/2

   
   
   

---

1. View Hint View Answer Discuss in Forum

   
   

   Correct Option: A

   
   

---

167. The region of convergence of the Z-transform of a unit step function is

1. 1. | z| > 1

   
   
   

   2. | z| < 1

   
   
   

   3. (Real part of z) > 0

   
   
   

   4. (Real part of z) < 0

   
   
   

---

1. View Hint View Answer Discuss in Forum

   

   Correct Option: A

   

---

---

168. The Z-transform of the time function

1. 1. z - 1

      z

   
   
   

   2. z

      (z - 1)²

   
   
   

   3. z

      z - 1

   
   
   

   4. (z - 1)²

      z

   
   
   

---

1. View Hint View Answer Discuss in Forum

   

   Correct Option: C

   

---

169. Consider the compound system shown in the above figure. Its output is equal to input with a delay of two units. I f the transfer function of the first syst em is given by
     

     H1 (z) =	z - 0.5
     	z - 0.8

     ,
     then the transfer function of the second system would be
     

1. 1. H2 (z) =	z² - 0.2z-3
      	1 - 0.4z-1

   
   
   

   2. H2 (z) =	z-2 - 0.8z-3
      	1 - 0.5z-1

   
   
   

   3. H2 (z) =	z-1 - 0.2z-3
      	1 - 0.4z-1

   
   
   

   4. H2 (z) =	z-2 - 0.8z-3
      	1 + 0.5z-1

   
   
   

---

1. View Hint View Answer Discuss in Forum

   H₁(Z) = Z^-2
   

   H2(Z) =	Z-2	=	Z-2 - 0.8Z-3
   	H1(Z)		1 - 0.5z-1

   Correct Option: B

   H₁(Z) = Z^-2
   

   H2(Z) =	Z-2	=	Z-2 - 0.8Z-3
   	H1(Z)		1 - 0.5z-1

---

---

170. Which one of the following is the correct statespace realization of a discrete system given by the difference equation
     c(k + 2) + α c (k + 1) + β c(k) = u(k)?

1. 1. 

   
   
   

   2. 

   
   
   

   3. 

   
   
   

   4. 

   
   
   

---

1. View Hint View Answer Discuss in Forum

   NA

   Correct Option: A

   NA

---