21.
Which of the following gives the average value or expectation of the function g(X) of the random variable X?
(Given f(X) is the probability density function)

22.
Consider the following statements regarding filters:
1. Cauer filter has equiripple passband and stopband.
2. For a given filter order, passband and stopband deviations, Cauer filters have more transition bandwidth as compared to Chebyshev filters.
3. Linear phase characteristics cannot be achieved in IIR filters.
Which of the above statements are correct?

23.
Z-transform deals with discrete time systems for their:
1. Transient behavior
2. Steady-state behavior
Which of the above behaviors is/are correct?

24.
A signal x(n) = sin(ω0 n + φ) is the input to a linear time-invariant system having a frequency response H(e). If the output of the system Ax(n - n0), then the most general form of ∠H(e) will be

25.
Which one of the following system is nonlinear? [y(t) = output; x(t) = input]

27.
Which one of the following digital filters does have a linear phase response?

28.
A first order system initially at rest has for a signal u(t), the response 1 - e-t. If the signal is 2u(t) cost, the response will be

29.
Consider a signal x(t) such that x(-t) = x(t). Let X(ω) be the Fourier transform of x(t). Then, X(ω) satisfies the property

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