# Electronics and Communication Engineering - Exam Questions Papers

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*m(t)*= 2 sin 480p

*t*+ 3 sin 720 p

*t*

The folding (maximum) frequency is

LCM of 24 and 25 is 600 which will give maximum utilization of the buffers

**∴** Sampling frequency is 600

**∴** Folding frequency = 600/2 = 300.

**∴** Pole zero plot diagram is ROC should contain unit circle. Hence system is noncausal.

Statistical independence:

Suppose that *A _{j}* and

*B*are the possible outcomes of two successive experiments or the joint outcome of a single experiment.

_{k}And suppose that it turns out that the probability of the occurrence of outcome *B _{k}* simply does not depend at all on which outcome

*A*accompanies it.

_{j}Then we say that the outcomes *A _{j}* and

*B*are independent.

_{k}Auto correlation also implies comparison of two signals of same source.

Hence for random Gaussian process. Auto correlation also implies statistical independence.

For a real skew symmetric matrix the non-zero eigen values are all pure imaginary and thus occurs in complex conjugate pair.

*x*(

*t*) = sin (

*t*+ 1) is in steady state. The output is sampled at a rate ω

_{s}rad/s to obtain the final output {

*y*(

*k*)}. Which of the following is true?

ω = 1, Thus output is zero for all sampling frequencies.