Question: In Section 2.9.6, it was argued intuitively that Y(e j? ) = H(e j? ) X(e j? ), When Y(e j? ), H(e j? ),

In Section 2.9.6, it was argued intuitively that

Y(e^j?) = H(e^j?) X(e^j?),

When Y(e^j?), H(e^j?), and X(e^j?) are, respectively, the Fourier transforms of the output y [n], impulse response h[n], and input x[n] of a linear time-invariant system; i.e., Verify Eq. (p2.75-1) by applying the Fourier transform to the convolution sum given in Eq. (p2.75-2).

y[n] = *[k]h[n k]. x[k]h[n - k=-00

Step by Step Solution

★★★★★

3.48 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

30-E-T-E-D-S-P (74).docx

120 KBs Word File

Students Have Also Explored These Related Telecommunication Engineering Questions!

Find the Fourier transforms of these functions: (a) f(t) = et cos(3t + )u(t) (b) g(t) = sin t[u(t + 1) - u(t - 1)] (c) h(t) = e2t cos tu(t - 1) (d) p(t) = e2t sin 4tu(-t) (e) q(t) = 4 sgn(t - 2) +...

Determine the Fourier transforms of these functions: (a) f(t) = 4/t2 (b) g(t) = 8/(4 + t2)

Determine the Fourier transforms of these functions: (a) f(t) = 8t 2 (b) g(t) = 4(4 + t 2 )

Create a C + + application called "main.cpp " that loads ( reads ) a graph in the form of an adjacency matrix, saves it as an adjacency matrix and as an adjacency list. The node labels are: A B C D E...

In java I have an array of arrays that looks like this. array = [['y', 'c' ,'o' , 'd' ,'e' 'j'], ['h' ,'s' ,'e' ,'y' 'p' 'k'], ['l' ,'p' ,'h' ,'b' ,'w' ,'a'], ['l' ,'o' ,'b' ,'w' ,'x' ,'z'], ['w'...

In java I have this array = [['y', 'n' ,'o' , 'd' ,'e' 'j'], ['h' ,'s' ,'e' ,'y' 'p' 'k'], ['l' ,'p' ,'h' ,'b' ,'w' ,'a'], ['l' ,'o' ,'b' ,'w' ,'x' ,'z'], ['w' ,'o', 'b' ,'a' ,'a' ,'i'], ['p', 'l'...

In java I have this string[][] = [[y, c, o, d, e, j], [h, s, e, y, p, k], [l, p, h, b, w, a], [l, o, b, w, x, z], [w, o, b, a, a, i], [p, l, y, y, c, g]] It represents this word search grid: y n o d...

Compute the arithmetic mean and median for the difference in systolic and diastolic blood pressure, respectively, taken in different positions (recumbent minus standing)? Table 2.16: Effect of...

Construct stem-and-leaf and box plots for the difference scores for each type of blood pressure? Table 2.16: Effect of position on blood pressure a Systolic blood pressure b Diastolic blood pressure...

Write an essay on The Solow swan long-memory growth model

Betsy Bantam debates whether or not to obtain an MBA. Regardless if she returns to school or not, after ten more years she will retire. Assume the interest rate is 5%. If Betsy does not get the MBA,...

1 . 1 Business Planning by Portfolio 1 . 1 . 1 Explain how business planning by portfolio helps ensure that the new digital banking platform is aligned with ABC Corporation s strategic objectives. (...

It is desired to control the exit concentration of c3 of the liquid blending system shown in Figure. Using the information given below, do the following: (a) Draw a block diagram for the composition...

List two types of transactions that would receive different accounting treatment using (a) Strict cash-basis accounting, and (b) A modified cash basis.

Suppose we generate a training set from a decision tree and then apply decision-tree learning to that training set. Is it the case that the learning algorithm will eventually return the correct tree...

A stream of Liquid n-pentane flows at a rate of 50.4L/min into a heating chamber, where it evaporates into a stream of air 15% in excess of the amount needed to burn the pentane completely. The...

6. In recent years, firms that produce cameras have begun to produce fewer 35-mm cameras and more digital cameras. This trend is an example of A. how central planners dictate which goods are...

Can you determine the coefficients of the all-pole system, If you know its order N and the values h(0), h(1) . . . h(L ? 1) of its impulse response? How? What happens if you do not know N? 1 H(:) 1-...

Consider the pole-zero system(a) Determine h(0), h(1), h(2) and h(3) in terms of a and b.(b) Let rhh(l) be the auto correlation sequence of h(n). Determine rhh(0), rhh(1), rhh(2), and rhh(3) in terms...

Let x(n) be a real-valued minimum-phase sequence. Modify x(n) to obtain another real-valued minimum-phase sequence y(n) such that y(0) = x(0) and y(n) = |x (n)|.

You want to buy a new sports car 3 years from now, and you plan to save $ 6 , 2 0 0 per year, beginning one year from today. You will deposit your savings in an account that pays 5 . 2 % interest....

The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed 1with standard deviation 1 feet. Let K be the height of a. randomly.r selected adult giraffe....

Can someone please help me with this problem. How do you solve? Below is a correlation matrix from SAS (Statistical Analysis System) for three variables: (a) Age, (b) Systolic Blood Pressure (SBP),...