What is the frequency shifting property of continuous time fourier series? - Signals and Systems

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

What is the frequency shifting property of continuous time fourier series?

A)

Multiplication in the time domain by a sinusoid

B)

Addition in the time domain by a complex sinusoid

C)

Multiplication in the time domain by a real sinusoid

D)

Multiplication in the time domain by a complex sinusoid

Correct Answer : Option (D) : Multiplication in the time domain by a complex sinusoid

Explanation : If x(t) and y(t) are two periodic signals with coefficients Xn and Yn,
Then y(t)= e^jmwtx(t)↔Y_n=X_n-m.
Hence, we can see that a frequency shift corresponds to multiplication in the time domain by complex sinusoid whose frequency is equal to the time shift.

Recently Updated in Signals and Systems Questions

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

A)

ergodic process

B)

statistical dependence

C)

statistical independence

D)

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?

A)

1 only

B)

1 and 3 only

C)

1 and 4 only

D)

1, 3 and 4 only

Correct Answer : 1 and 3 only

In RLC circuits the state variables generally selected are

A)

voltages across capacitors

B)

currents through resistances and capacitances

C)

currents through inductances and voltages across capacitances

D)

currents through resistances and voltages across capacitors

Correct Answer : currents through inductances and voltages across capacitances

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