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36. | In analog signal given below is sampled at such a rate that the samples of signal can be given to a collection of buffers having capacity of either 24 samples/sec. or 25 samples/sec. The sampling rate is minimum such that it fully utilizes the collection of both types of buffers m(t) = 2 sin 480pt + 3 sin 720 pt |
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Answer: Option B Explanation: LCM of 24 and 25 is 600 which will give maximum utilization of the buffers ∴ Sampling frequency is 600 ∴ Folding frequency = 600/2 = 300. |
37. | The system with given T.F. to be stable will be |
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Answer: Option D Explanation:
∴ Pole zero plot diagram is ROC should contain unit circle. Hence system is noncausal. |
38. | For a Gaussian process, auto-correlation also implies |
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Answer: Option B Explanation: Statistical independence: Suppose that A_{j} and B_{k} are the possible outcomes of two successive experiments or the joint outcome of a single experiment. 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_{j} accompanies it. Then we say that the outcomes A_{j} and B_{k} are independent. Auto correlation also implies comparison of two signals of same source. Hence for random Gaussian process. Auto correlation also implies statistical independence. |
39. | The eigen values of a skew symmetric matrix are |
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Answer: Option C Explanation: For a real skew symmetric matrix the non-zero eigen values are all pure imaginary and thus occurs in complex conjugate pair. |
40. | An LTI system having transfer function and input 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? |
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Answer: Option A Explanation: ω = 1, Thus output is zero for all sampling frequencies. |