31. Let the signal f(t) = 0 outside the interval [T1, T2], where T1 and T2 are finite. Furthermore, |f(t)| < ∞. The region of convergence (ROC) of the signal's bilateral Laplace transform F(s) is
32. Impulse invariance method is not preferred in the design of FIR filter other than low pass filter because of
33. The impulse response h(t) of a linear time invariant continuous time system is described by h(t) = exp(αt)u(t) + exp(βt)u(-t) where u(-t) denotes the unit step function, and α and β are real constants. This system is stable if
34. A linear phase channel with phase delay Tp and group delay Tg must have
35. A signal x(t) = sinc(αt), where α is a real constant, is the input to a linear time invariant system whose impulse response is h(t) = sinc(βt), where β is a real constant. If min(α, β) denotes the minimum of α and β and similarly, max(α, β) denotes the maximum of α and β, and K is a constant, which one of the following statements is true about the $$\left( {{\text{here, }}\sin {\text{c}}\left( {\text{x}} \right) = \frac{{\sin \left( {\pi {\text{x}}} \right)}}{{\pi {\text{x}}}}} \right)$$ output of the system?
36. An LTI system having transfer function $$\frac{{{s^2} + 1}}{{{s^2} + 2s + 1}}$$ and input x(t) = sin(t + 1) is in steady state. The output is sampled at a rate ωs rad/s to obtain the final output {y(k)}. Which of the following is true?
37. Which one of the following must be satisfied if a signal is to be periodic for -∞ < t < ∞?
38. Express the following finite discrete time signal as the difference of two unit step sequences:
x[n] = 1, for 0 ≤ n ≤ 5; and 0 otherwise.
x[n] = 1, for 0 ≤ n ≤ 5; and 0 otherwise.
39. A periodic function of half-wave symmetry is necessarily
40. The Laplace transformation of a doublet is:
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