Module 3 : Sampling and Reconstruction
Lecture 24 : Realistic Sampling of Signals

Realistic sampling of signals:

Our goal of achieving a sampled signal is possible by the multiplication of the original C.T. signal with the generated train of pulses. Now these two signals are multiplied practically with the help of a multiplier as shown in the schematic below.  In our analysis so far, this is how we imagined sampling of a signal.

But impulses are a mathematical concept and they cannot be realized in a real system. In practice we can best obtain a train of pulses called a saw-tooth pulse. These pulses are generally used for creating a time-base for the operation of many electronic devices like the CRO (Cathode Ray Oscilloscope). 

Practical Implementation:

Lets see how the train of pulses of the following kind can be multiplied by a signal 'x(t)'.

Consider the circuit below.

 

         

The two pulse trains p1(t) and p2(t) are synchronized so that when one is high the other is low and vice verse as shown in the figure below:


In the circuit when x(t) and p1(t)  are multiplied we get the output. Thus we get the output when p1(t)  is ON and it is zero when  p2(t) is ON.             

 You have just seen how we can multiply a signal x(t) with the following periodic pulse train p(t) to obtain the sampled signal . Now the train of pulses that we had used is shown below with respect to its amplitude and period.