What are the tools used in a graphical method of finding convolution of discrete time signals?

Electronics and Communication Engineering (ECE) : Signals and Systems - Quiz(MCQ)

Scaling, multiplication and addition in order

Scaling, shifting, multiplication, and addition in order

Plotting, shifting, folding, multiplication, and addition in order

Scaling, plotting, shifting, multiplication and addition in order

Correct Answer : Option (C) : Plotting, shifting, folding, multiplication, and addition in order

Explanation : The tools used in a graphical method of finding convolution of discrete time signals are basically plotting, shifting, folding, multiplication and addition. These are taken in the order in the graphs. Both the signals are plotted, one of them is shifted, folded and both are again multiplied and added.

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For a Gaussian process, auto-correlation sequence also implies that

ergodic process

statistical dependence

statistical independence

All of the above

Correct Answer : statistical dependence

Consider the following statements

1. If ensemble and time averages of a random process are identical, the process is ergodic.
2. If ensemble and time average of a random process are not identical, the process is ergodic.
3. An ergodic process is stationary.
4. A stationary process is necessarily ergodic.

Which of the above statements are correct?

1 only

1 and 3 only

1 and 4 only

1, 3 and 4 only

Correct Answer : 1 and 3 only

In RLC circuits the state variables generally selected are

voltages across capacitors

currents through resistances and capacitances

currents through inductances and voltages across capacitances

currents through resistances and voltages across capacitors

Correct Answer : currents through inductances and voltages across capacitances