Explore topic-wise MCQs in Signals & Systems.

This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems knowledge and support exam preparation. Choose a topic below to get started.

1.

Find the fourier transform of the unit step function.

A. ( ) + ( frac{1}{ } )
B. ( ) + ( frac{1}{j } )
C. ( ) ( frac{1}{j } )
D. ( ) + ( frac{1}{j } )
Answer» C. ( ) ( frac{1}{j } )
Discussion
2.

Which of the following is not a fourier transform pair?

A. (u(t) leftrightarrow ( ) + frac{1}{j } )
B. (sgn(t) leftrightarrow frac{2}{j } )
C. (A leftrightarrow 2 ( frac{ }{2}) )
D. (G(t) leftrightarrow sa( frac{ }{2}) )
Answer» E.
Discussion
3.

Bandwidth of the gate function is __________

A. Hz
B. ( frac{1}{ } ) Hz
C. 2 Hz
D. ( frac{2}{ } ) Hz
Answer» C. 2 Hz
Discussion
4.

Find the fourier transform of the gate function.

A. ( frac{1}{ } sin u2061( frac{ }{2}) )
B. ( frac{1}{ } cos u2061 u2061( frac{ }{2}) )
C. ( frac{2}{ } sin u2061( frac{ }{2}) )
D. ( frac{2}{ } cos u2061 u2061( frac{ }{2}) )
Answer» D. ( frac{2}{ } cos u2061 u2061( frac{ }{2}) )
Discussion
5.

Find the fourier transform of the function f(t) = e-a|t|, a>0.

A. ( frac{2a}{a^2- ^2} )
B. ( frac{2a}{a^2+ ^2} )
C. ( frac{2a}{ ^2-a^2} )
D. ( frac{a}{a^2+ ^2} )
Answer» C. ( frac{2a}{ ^2-a^2} )
Discussion
6.

Find the fourier transform of an exponential signal f(t) = e-at u(t), a>0.

A. ( frac{1}{a+j } )
B. ( frac{1}{a-j } )
C. ( frac{1}{-a+j } )
D. ( frac{1}{-a-j } )
Answer» B. ( frac{1}{a-j } )
Discussion
7.

Choose the correct synthesis equation.

A. (f(t) = frac{1}{2 } int_{- }^ F( ) e^{-j t} ,d )
B. (f(t) = frac{1}{2 } int_{- }^ F( ) e^{j t} ,d )
C. (f(t) = frac{1}{2 } int_0^ F( ) e^{-j t} ,d )
D. (f(t) = frac{1}{2 } int_0^ F( ) e^{j t} ,d )
Answer» C. (f(t) = frac{1}{2 } int_0^ F( ) e^{-j t} ,d )
Discussion
8.

Which of the following is the Analysis equation of Fourier Transform?

A. (F( ) = int_{- }^ f(t)e^{j t} ,dt )
B. (F( ) = int_0^ f(t)e^{-j t} ,dt )
C. (F( ) = int_0^ f(t)e^{j t} ,dt )
D. (F( ) = int_{- }^ f(t)e^{-j t} ,dt )
Answer» E.
Discussion