Electronics and Communication Engineering (ECE)

Consider the following statements regarding the properties of transfer function:
1. The transfer function is independent of the input of the system.
2. The transfer function is defined for linear time- variant system.
3. The transfer function of a continuous-data system is expressed only as a function of the complex variable s.
4. All the initial conditions are not necessarily set to zero for finding the transfer function of a given system.
Q. Which of the above statements is/are not true?
  • a)
    1, 3 and 4 only
  • b)
    2, 3 and 4 only
  • c)
    1 and 3 only
  • d)
    All of the above
Correct answer is option 'D'. Can you explain this answer?

Lakshmi Priya Ghildiyal answered  •  11 hours ago
Correct Answer :- D
Explanation : The properties of transfer function are given below:
1) The ratio of Laplace transform of output to Laplace transform of input assuming all initial conditions to be zero.
2) The transfer function of a system is the Laplace transform of its impulse response under assumption of zero initial conditions.
3) Replacing ‘s’ variable with linear operation D = d/dt in transfer function of a system, the differential equation of the system can be obtained.
4) The transfer function of a system does not depend on the inputs to the system.
5) The system poles and zeros can be determined from its transfer function.

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