MCQOPTIONS

Explore topic-wise MCQs in Digital Signal Processing.

This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Digital Signal Processing knowledge and support exam preparation. Choose a topic below to get started.

1.	In the equation x(t) = a(t)cos[2 Fct+ (t)], Which of the following relations between a(t) and x(t), (t) and x(t) are true?
A.	a(t), (t) are called the Phases of x(t)
B.	a(t) is the Phase of x(t), (t) is called the Envelope of x(t)
C.	a(t) is the Envelope of x(t), (t) is called the Phase of x(t)
D.	none of the mentioned
Answer» D. none of the mentioned

2.	What is the possible representation of x(t) if xl(t)=a(t)e(j (t))?
A.	x(t) = a(t) cos[2 F<sub>c</sub>t (t)]
B.	x(t) = a(t) cos[2 F<sub>c</sub>t + (t)]
C.	x(t) = a(t) sin[2 F<sub>c</sub>t + (t)]
D.	x(t) = a(t) sin[2 F<sub>c</sub>t (t)]
Answer» C. x(t) = a(t) sin[2 F<sub>c</sub>t + (t)]

3.	If a possible representation of a band pass signal is obtained by expressing xl (t) as (x_l (t)=a(t)e^{j (t}) ) then what are the equations of a(t) and (t)?
A.	a(t) = ( sqrt{u_c^2 (t)+u_s^2 (t)} ) and (t)= (tan^{-1} frac{u_s (t)}{u_c (t)} )
B.	a(t) = ( sqrt{u_c^2 (t)-u_s^2 (t)} ) and (t)= (tan^{-1} frac{u_s (t)}{u_c (t)} )
C.	a(t) = ( sqrt{u_c^2 (t)+u_s^2 (t)} ) and (t)= (tan^{-1} frac{u_c (t)}{u_s (t)} )
D.	a(t) = ( sqrt{u_s^2 (t)-u_c^2 (t)} ) and (t)= (tan^{-1} u2061 frac{u_s (t)}{u_c (t)} )
Answer» B. a(t) = ( sqrt{u_c^2 (t)-u_s^2 (t)} ) and (t)= (tan^{-1} frac{u_s (t)}{u_c (t)} )

4.	In the equation x(t) = Re ([x_l (t) e^{j2 F_c t}] ), What is the lowpass signal xl (t) is usually called the ___ of the real signal x(t).
A.	Mediature envelope
B.	Complex envelope
C.	Equivalent envelope
D.	All of the mentioned
Answer» C. Equivalent envelope

5.	What is the other way of representation of bandpass signal x(t)?
A.	x(t) = R<sub>e</sub> ([x_l (t) e^{j2 F_c t}] )
B.	x(t) = R<sub>e</sub> ([x_l (t) e^{j F_c t}] )
C.	x(t) = R<sub>e</sub> ([x_l (t) e^{j4 F_c t}] )
D.	x(t) = R<sub>e</sub> ([x_l (t) e^{j0 F_c t}] )
Answer» B. x(t) = R<sub>e</sub> ([x_l (t) e^{j F_c t}] )

6.	In the relation, x(t) = (u_c (t) cos 2 ,F_c ,t-u_s (t) sin 2 ,F_c ,t ) the low frequency components uc and us are called _____________ of the bandpass signal x(t).
A.	Quadratic components
B.	Quadrature components
C.	Triplet components
D.	None of the mentioned
Answer» C. Triplet components

7.	If we substitute the equation (x_l (t)= u_c (t)+j u_s (t) ) in equation x (t) + j (t) = xl(t) ej2 Fct and equate real and imaginary parts on side, then what are the relations that we obtain?
A.	x(t)= (u_c (t) ,cos u20612 ,F_c ,t+u_s (t) ,sin u20612 ,F_c ,t ); (t)= (u_s (t) ,cos u20612 ,F_c ,t-u_c ,(t) ,sin u20612 ,F_c ,t )
B.	x(t)= (u_c (t) ,cos u20612 ,F_c ,t-u_s (t) ,sin u20612 ,F_c ,t ); (t)= (u_s (t) ,cos u20612 ,F_c t+u_c (t) ,sin u20612 ,F_c ,t )
C.	x(t)= (u_c (t) ,cos u20612 ,F_c t+u_s (t) ,sin u20612 ,F_c ,t ); (t)= (u_s (t) ,cos u20612 ,F_c t+u_c (t) ,sin u20612 ,F_c ,t )
D.	x(t)= (u_c (t) ,cos u20612 ,F_c ,t-u_s (t) ,sin u20612 ,F_c ,t ); (t)= (u_s (t) ,cos u20612 ,F_c ,t-u_c (t) ,sin u20612 ,F_c ,t )
Answer» C. x(t)= (u_c (t) ,cos u20612 ,F_c t+u_s (t) ,sin u20612 ,F_c ,t ); (t)= (u_s (t) ,cos u20612 ,F_c t+u_c (t) ,sin u20612 ,F_c ,t )

8.	What is the equivalent time domain relation of xl(t) i.e., lowpass signal?
A.	(x_l (t)=[x(t)+j (t)]e^{-j2 F_c t} )
B.	x(t)+j (t) = (x_l (t) e^{j2 F_c t} )
C.	(x_l (t)=[x(t)+j (t)]e^{-j2 F_c t} ) & x(t)+j (t) = (x_l (t) e^{j2 F_c t} )
D.	None of the mentioned
Answer» D. None of the mentioned

9.	What is the frequency response of a Hilbert transform H(F)=?
A.	( begin{cases}&-j (F>0) & 0 (F=0) & j (F<0) end{cases} )
B.	( left { begin{matrix}-j & (F<0) 0 & (F=0) j & (F>0) end{matrix} right. )
C.	( left { begin{matrix}-j & (F>0) 0 &(F=0) j & (F<0) end{matrix} right. )
D.	( left { begin{matrix}j&(F>0) 0 & (F=0) j & (F<0) end{matrix} right. )
Answer» B. ( left { begin{matrix}-j & (F<0) 0 & (F=0) j & (F>0) end{matrix} right. )

10.	If the signal (t) can be viewed as the output of the filter with impulse response h(t) = 1/ t, - < t < when excited by the input signal x(t) then such a filter is called as __________
A.	Analytic transformer
B.	Hilbert transformer
C.	Both Analytic & Hilbert transformer
D.	None of the mentioned
Answer» C. Both Analytic & Hilbert transformer

11.	In equation (x_+ (t)=F^{-1} [2V(F)]*F^{-1} [X(F)] ), if (F^{-1} [2V(F)]= (t)+j/ t ) and (F^{-1} [X(F)] ) = x(t). Then the value of (t) is?
A.	( frac{1}{ } int_{- infty}^ infty frac{x(t)}{t+ } d )
B.	( frac{1}{ } int_{- infty}^ infty frac{x(t)}{t- } d )
C.	( frac{1}{ } int_{- infty}^ infty frac{2x(t)}{t- } d )
D.	( frac{1}{ } int_{- infty}^ infty frac{4x(t)}{t- } d )
Answer» C. ( frac{1}{ } int_{- infty}^ infty frac{2x(t)}{t- } d )

12.	In time-domain expression, (x_+ (t)=F^{-1} [2V(F)]*F^{-1} [X(F)] ). The signal x+(t) is known as
A.	Systematic signal
B.	Analytic signal
C.	Pre-envelope of x(t)
D.	Both Analytic signal & Pre-envelope of x(t)
Answer» E.

13.	What is the equivalent time domain expression of X+(F)=2V(F)X(F)?
A.	F<sup>(+1)</sup>[2V(F)]*F<sup>(+1)</sup>[X(F)]
B.	F<sup>(-1)</sup>[4V(F)]*F<sup>(-1)</sup>[X(F)]
C.	F<sup>(-1)</sup>[V(F)]*F<sup>(-1)</sup>[X(F)]
D.	F<sup>(-1)</sup>[2V(F)]*F<sup>(-1)</sup>[X(F)]
Answer» E.