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Signals and Sys...

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  • Question 1
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    For a linear time invariant system having h(t) = e-6t u(t) and if input to system is x(t) = e-3t u(t) then the convolution of two signal x(t) * h(t) is ______.

  • Question 2
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    The value of power of signal given below x(t) = 4 + 3 sin t is _______.

  • Question 3
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    The value of integral \(\mathop \smallint \nolimits_{ - 4}^6 \left( {3{t^3} + 6{t^2} + \cos \pi t} \right)\frac{{{d^3}}}{{d{t^3}}}\delta \left( {t - 2} \right)dt\) is ______.

  • Question 4
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    What is the range of values of a and b for which the linear time-invariant system with impulse response \(h\left( n \right) = \left\{ {\begin{array}{*{20}{c}}{{a^n},}&{n \ge 0}\\{{b^n},}&{n < 0}\end{array}} \right.\) is stable?

  • Question 5
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    The period of the given signal is:

    \(x\left( n \right) = \sin \left( {\frac{{2\pi }}{5}n} \right) + 3\cos \left( {\frac{{2\pi }}{7}n} \right) + \cos \left( {\frac{{4\pi\;}}{{22}}n + \frac{\pi }{2}} \right)\)

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