Assertion (A): The z-transform of the output of the sampler is given by the series. Reason (R): The relationship is the result of the application of z = e-sT, where T stands for the time gap between the samples.

Related MCQs

• In a closed loop for which the output is the speed of the motor, the output rate control can be used to:
• The transfer function for the state representation of the continuous time LTI system: dq(t)/dt=Aq(t)+Bx(t) Y(t)=Cq(t)+Dx(t) is given by
• Which mechanism in control engineering implies an ability to measure the state by taking measurements at output?
• If a system is given unbounded input then the system is:
• The transfer function of a LTI system is given as 1/(s+1). What is the steady-state value of the unit-impulse response?
• The values of the characteristic equation is given by:
• The impulse response of a linear LTI system is given as g (t) = e(-t)The transfer function of the system is equal to:
• Zero-order hold used in practical reconstruction of continuous-time signals is mathematically represented as a weighted-sum of rectangular pulses shifted by:
• A linear time invariant system is stable if :
• A system is said to be_____________ if it is possible to transfer the system state from any initial state to any desired state in finite interval of time.