Consider a non- linear device such that the output is Y (t) = aX2 (t), where the input X (t) consists of a signal plus a noise component, X (t) = S (t) + N (t). Determine the mean and autocorrelation function for Y (t) when the signal S (t) and the noise N (t) are both Gaussian random processes and wide sense stationary (WSS) with zero- mean and S (t) is independent of N (t).
Answer to relevant QuestionsAn experiment consists of rolling n (six- sided) dice and recording the sum of the n rolls. How many outcomes are there to this experiment? Consider a modified version of the experiment where we flip a coin until the first occurrence of tails or until we flip the coin four times, whichever comes first. (a) List the possible outcomes of this experiment. How many ...Calculate the spectrum for in Exercise 11.5 if And Consider the periodic sequence generated by the four- stage shift register in Figure 12.1. Suppose the sequence is converted to ±1- valued sequence by mapping all 1’s to – 1’s and all 0’s to 1’s. One period of the ...Sketch the shift register described by the octal number 75. Find the sequence output by this shift register assuming that the shift register is initially loaded with all ones.
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