Solution Found!
Let be the sequence produced by sampling the continuous
Chapter 4, Problem 22E(choose chapter or problem)
Let \(\left\{y_{k}\right\}\) be the sequence produced by sampling the continuous signal \(2 \cos \frac{\pi t}{4}+\cos \frac{3 \pi t}{4}\) at \(t=0,1,2, \ldots\), as shown in the figure. The values of \(y_k\), beginning with k =0, are
\(3, .7,0,-.7,-3,-.7,0, .7,3, .7,0, \ldots\)
where .7 is an abbreviation for \(\sqrt{2} / 2\).
a. Compute the output signal \(\left\{z_{k}\right\}\) when \(\left\{y_{k}\right\}\) g is fed into the filter in Example 3.
b. Explain how and why the output in part (a) is related to the calculations in Example 3.
Questions & Answers
QUESTION:
Let \(\left\{y_{k}\right\}\) be the sequence produced by sampling the continuous signal \(2 \cos \frac{\pi t}{4}+\cos \frac{3 \pi t}{4}\) at \(t=0,1,2, \ldots\), as shown in the figure. The values of \(y_k\), beginning with k =0, are
\(3, .7,0,-.7,-3,-.7,0, .7,3, .7,0, \ldots\)
where .7 is an abbreviation for \(\sqrt{2} / 2\).
a. Compute the output signal \(\left\{z_{k}\right\}\) when \(\left\{y_{k}\right\}\) g is fed into the filter in Example 3.
b. Explain how and why the output in part (a) is related to the calculations in Example 3.
ANSWER:
Solution 22E(a)01.481.410902-1.410-1.43 11 4-1.412-1.45013061.4141.4