41.
Consider a four point moving average filter defined by the equation $$y\left[ n \right] = \sum\nolimits_{i = 0}^3 {{\alpha _i}x\left[ {n - i} \right].} $$     The condition on the filter coefficients that results in a null at zero frequency is

43.
Consider this variant of the Fibonacci system:
y[n] = y[n - 1] - y[n - 2] + x[n], where x[n] represents the input and y[n] represents the output. The poles of the given system will be:

44.
For a random signal (continuous time) x(t) defined for t ≥ 0, its probability density function (pdf) at t = t0 is such that

46.
The range of values of a and b for which the linear time invariant system with impulse response h(n) = an, n ≥ 0; bn, n < 0 will be stable is

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