Signals and Systems

SIGNIFICANT POINTS

Transfer Function It is defined by the ratio of Laplace transform of output response to Laplace transform of input (excitation) assuming all the initial conditions to be zero.

Impulse Response and Transfer Function If the transfer function of a system is not given but its impulse response is known, the impulse response will represent the transfer function of the system. Therefore, for a linear time invariant system, the transfer function of this system is the Laplace transform of the impulse response assuming all the initial conditions to be zero.

Characteristic Equation The denominator polynomial in terms of s of a transfer function is known as characteristic polynomial. If this polynomial is equated to zero, characteristic ...