1) What is/are the crucial purposes of using the Fourier Transform while analyzing any elementary signals at different frequencies? a. Transformation from time domain to frequency domain b. Plotting of amplitude & phase spectrum c. Both a & b d. None of the above
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2) What is the possible range of frequency spectrum for discrete time fourier series (DTFS)? a. 0 to 2π b. -π to +π c. Both a & b d. None of the above
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3) Which among the following assertions represents a necessary condition for the existence of Fourier Transform of discrete time signal (DTFT)? a. Discrete Time Signal should be absolutely summable b. Discrete Time Signal should be absolutely multipliable c. Discrete Time Signal should be absolutely integrable d. Discrete Time Signal should be absolutely differentiable
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4) What is the nature of Fourier representation of a discrete & aperiodic signal? a. Continuous & periodic b. Discrete & aperiodic c. Continuous & aperiodic d. Discrete & periodic
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5) A Laplace Transform exists when ______
A. The function is piece-wise continuous B. The function is of exponential order C. The function is piecewise discrete D. The function is of differential order a. A & B b. C & D c. A & D d. B & C
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6) Where is the ROC defined or specified for the signals containing causal as well as anti-causal terms? a. Greater than the largest pole b. Less than the smallest pole c. Between two poles d. Cannot be defined
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7) Which result is generated/ obtained by the addition of a step to a ramp function? a. Step Function shifted by an amount equal to ramp b. Ramp Function shifted by an amount equal to step c. Ramp function of zero slope d. Step function of zero slope
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8) Unilateral Laplace Transform is applicable for the determination of linear constant coefficient differential equations with ________ a. Zero initial condition b. Non-zero initial condition c. Zero final condition d. Non-zero final condition
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9) What should be location of poles corresponding to ROC for bilateral Inverse Laplace Transform especially for determining the nature of time domain signal? a. On L.H.S of ROC b. On R.H.S of ROC c. On both sides of ROC d. None of the above
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10) Generally, the convolution process associated with the Laplace Transform in time domain results into________ a. Simple multiplication in complex frequency domain b. Simple division in complex frequency domain c. Simple multiplication in complex time domain d. Simple division in complex time domain
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