21.
What will be the Laplace transform for f(t) = e-btu(t)?

22.
The even and odd components of the signal x(t) = e-2t cos t are respectively,

24.
For a given transmitted pulse p(t), 0 ≤ t ≤ T, the impulse response of a filter matched to the received signal is

25.
If \[x\left( n \right) = \left\{ \begin{array}{l} {\left( {\frac{1}{2}} \right)^n};\,0 \le n \le \left( {N - 1} \right)\\ 0;\,{\rm{otherwise}} \end{array} \right.\]      then x(z) is equal to

26.
Consider a single input single output discrete-time system with x[n] as input and y[n] as output, where the two are related as
\[y\left[ n \right] = \left\{ {\begin{array}{*{20}{c}} {n\left| {x\left[ n \right]} \right|,}&{{\text{for }}0 \leqslant n \leqslant 10} \\ {x\left[ n \right] - x\left[ {n - 1} \right],}&{{\text{otherwise}}} \end{array}} \right.\]
Which one of the following statements is true about the system?

27.
The covariance function, Cx(τ), of a stationary stochastic process, x(t), is said to be positive definite. This means that

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