Electronics & Communication System - Signal Systems

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1.

Which of the following responses of an LTI system doesn’t depend on initial conditions ?                        
A. natural response B. free response
C. forced response D. total response



2.

Which of the following is a casual system ?                        
A. y(t)=x(t^2) B. y(t)=x(t)^2
C. y(t)=x(-t) D. y(t)=x(2t)



3.

Fourier transform of signum function x(t)=sgn(t) is ?                        
A. 2/w B. 2/(jw)
C. 2/((jw)^2) D. (-2)/(jw)




4.

The unit step u(t) can be expressed as                        
A. 1+sgn(t) B. 2+sgn(t)
C. (1/2)+(1/2)*sgn(t) D. 2*sgn(t)



5.

Fourier transform of Gaussian pulse will be                        
A. another Gaussian pulse B. Squared sinc pulse
C. Sinc pulse D. Impulse train



6.

If a signal x(t) is differentiated ‘m’ times to produce an impulse, then the fourier coefficient will be proportional to                        
A. n^m B. 1/(n^(m-1))
C. n^(m-1) D. 1/(n^m)



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