# Continuous Time Signal Analysis MCQ’s

The section contains multiple choice questions and answers which focuses on **Continous Time Signal Analysis** of Frequency analysis of discrete and continuous time signals.

1. The equation x(t)=a0+∑∞k=1(akcos2πkF0t–bksin2πkF0t) is the representation of Fourier series.**a) True**

b) False

2. Which of the following is a Dirichlet condition with respect to the signal x(t)?

a) x(t) has a finite number of discontinuities in any period

b) x(t) has finite number of maxima and minima during any period

c) x(t) is absolutely integrable in any period**d) all of the mentioned**

3. Which of the following relation is correct between Fourier transform X(F) and Fourier series coefficient c_{k}?

a) c_{k}=X(F_{0}/k)

b) c_{k}= 1/T_{P} (X(F_{0}/k))**c) c _{k}= 1/T_{P}(X(kF_{0}))**

d) none of the mentioned

4. Which of the following is the Fourier series representation of the signal x(t)?

a) c0+2∑∞k=1|ck|sin(2πkF0t+θk)**b) c0+2∑∞k=1|ck|cos(2πkF0t+θk)**

c) c0+2∑∞k=1|ck|tan(2πkF0t+θk)

d) None of the mentioned

5. What is the spectrum that is obtained when we plot |ck| as a function of frequency?**a) Magnitude voltage spectrum**

b) Phase spectrum

c) Power spectrum

d) None of the mentioned

6. The Fourier series representation of any signal x(t) is defined as ___________**a) ∑∞k=−∞ckej2πkF0t**

b) ∑∞k=0ckej2πkF0t

c) ∑∞k=−∞cke−j2πkF0t

d) ∑∞k=−∞c−kej2πkF0t

7. What is the equation of the Fourier series coefficient ck of an non-periodic signal?

a) 1Tp∫t0+Tp0x(t)e−j2πkF0tdt**b) 1Tp∫∞−∞x(t)e−j2πkF0tdt**

c) 1Tp∫t0+Tpt0x(t)e−j2πkF0tdt

d) 1Tp∫t0+Tpt0x(t)ej2πkF0tdt

8. What is the spectrum that is obtained when we plot |c_{k} |^{2} as a function of frequencies kF_{0}, k=0,±1,±2..?

a) Average power spectrum

b) Energy spectrum**c) Power density spectrum**

d) None of the mentioned

9. The equation x(t)=∑∞k=−∞ckej2πkF0t is known as the analysis equation.

a) True**b) False**

10. According to Parseval’s Theorem for non-periodic signal, ∫∞−∞|x(t)|2dt.

a) ∫∞−∞|X(F)|2dt

b) ∫∞−∞|X∗(F)|2dt

c) ∫∞−∞X(F).X∗(F)dt**d) All of the mentioned**

11. The equation of average power of a periodic signal x(t) is given as ___________

a) ∑∞k=0|ck|2

b) ∑∞k=−∞|ck|

c) ∑0k=−∞|ck|2**d) ∑∞k=−∞|ck|2**

12. Which of the following is the equation for the Fourier series coefficient?

a) 1Tp∫t0+Tp0x(t)e−j2πkF0tdt

b) 1Tp∫∞t0x(t)e−j2πkF0tdt**c) 1Tp∫t0+Tpt0x(t)e−j2πkF0tdt**

d) 1Tp∫t0+Tpt0x(t)ej2πkF0tdt

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