# Question

Suppose we wanted to generate the random process whose PSD is given in Exercise 12.8 using the time domain method discussed in Section 12.2.2.

(a) Find the transfer function of the analog filter which will produce the desired output PSD when the input is a zero- mean, white Gaussian random process.

(b) Use a bilinear transformation to convert the analog filter to a digital filter.

(c) What is the approximate duration of the impulse response of the digital filter if the 3- dB frequency of the random process is f3 = 1kHZ.

(a) Find the transfer function of the analog filter which will produce the desired output PSD when the input is a zero- mean, white Gaussian random process.

(b) Use a bilinear transformation to convert the analog filter to a digital filter.

(c) What is the approximate duration of the impulse response of the digital filter if the 3- dB frequency of the random process is f3 = 1kHZ.

## Answer to relevant Questions

An 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 the experiment of tossing a six sided die as described. Suppose the die is loaded and as such we assign the following probabilities to each of the six outcomes: Is this assignment consistent with the three axioms of ...If we roll two dice and observe the sum, the most common outcome is 7 and occurs with probability 1/ 6. But what if we roll more than 2 dice? (a) Suppose we roll three dice and observe the sum. What is the most likely sum ...Prove that for any two events A and B, Pr (A∩B) ≤ Pr (A) ≤ Pr (AUB). In pulse- amplitude modulation (PAM), a PAM word consists of a sequence of pulses, where each pulse may take on a given number of amplitude levels. Suppose a PAM word is n pulses long and each pulse may take on m different ...Post your question

0