A predictive first-order hold circuit is also sometimes used to reconstruct a signal x(t) from its samples. The impulse response of this circuit is where T is the sampling interval. (a) Sketch h(t)....

A predictive first-order hold circuit is also sometimes used to reconstruct a signal x(t) from its samples. The impulse response of this circuit is

where T is the sampling interval.

(a) Sketch h(t). Is this system causal?

(b) Pick an example sampled signal x(t) and show the corresponding output of the predictive FOH operation. Does the name “predictive first-order hold” make sense? Explain.

(c) Plot the magnitude responses of the predictive FOH filter. How does the character of this circuit’s output compare with the original signal x(t).