Question: Suppose we cascade a differentiator and a smoother systems characterized by the following input/output equations where the output of the differentiator and input to the

Suppose we cascade a €œdifferentiator€ and a €œsmoother€ systems characterized by the following input/output equations

Differentiator w[n] = x[n] – x[n – 1] w[n] У[n — 1] Smoother y[n] = 3 3 3.

where the output of the differentiator and input to the smoother is w[n], while x[n] is the input of the differentiator (and of the overall system) and y[n] is the output of the smoother (and of the overall system).

(a) If x[n] = u[n] and the initial conditions for the smoother are zero, find the output of the overall system y[n].

(b) If x[n] = ( ˆ’ 1) n , ˆ’ˆž < n < ˆž, find the steady-state response y_ss [n] of the overall system y_ss [n].

Differentiator w[n] = x[n] – x[n – 1] w[n] У[n — 1] Smoother y[n] = 3 3 3.

Step by Step Solution

★★★★★

3.25 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let Hsz and Hz be the transfer funct... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Questions!

A discrete-time averager is characterized by the following equation relating the input x(nT s ) with the output y(nT s ) (a) Is this system causal? Explain. (b) Let N = 2 in the above equation. Find...

Suppose we cascade a differentiator and a smoother. The equations for the differentiator is w[n] = x[n] x[n 1] where w[n] is the output and x[n] the input, and for the smoother the equation is where...

The memory consistency model provides a specification of how the memory system will appear to the programmer. Consider the following code segment, where the initial values are a. At the end of the...

Suppose we cascade a differentiator and a smoother. The equation for the differentiator is w [ n ] = x [ n ] x [ n 1 ] , where w [ n ] is the output and x [ n ] the input. The equation for the...

Computer vision 5. (3 points) Suppose a cascade system is training with 2000 faces and 2000 non-faces. Suppose the requirements for each Team are a False Positive Rate of 30 percent, and a Missed...

A water tank heating process shown in Fig. E16.4 controls the outlet temperature at a desired set point T SP by manipulating the steam pressure P S of steam sent to the tank heat exchanger. The steam...

Suppose you cascade an interpolator (an upsampler and a low-pass filter) and a decimator (a low-pass filter and a downsampler). (a) If both the interpolator and the decimator have the same rate M,...

From the book Networks, Crowds, and Markets: Reasoning about a Highly Connected World. By David Easley and Jon Kleinberg. Cambridge University Press, 2010. Complete preprint on-line at...

I hope that you are safe and well. I am attaching a short article for you to summarize. The summary of the article should be around 1/3 (third) of the article's length (about 2 to three pages for...

Cascade Containers is organized into two divisions-Manufacturing and Distribution. Manufacturing produces a product that can be sold immediately or transferred to Distribution for further processing...

Consider the investor in Example 4.2.3 on page 220. Suppose that the returns R1 and R2 on the two stocks have correlation 1. A portfolio will consist of s1 shares of the first stock and s2 shares of...

As cereal boxes are filled in a factory, they are weighed for their contents by an automatic scale. The target value is to put 10 ounces of cereal in each box. Twenty samples of three boxes each have...

9 , Patent laws in Japan:a . are mainly written to benefit inventorsb. have a secret application processd. all the abovee. none of the abovec. have a relatively short application process, but a long...

=+12. Why is competition in a market important? Is there a positive or negative effect on the economy when strong competitive pressures drive various firms out of business? Discuss.

Is the search tree of Figure 11.22(a) a (2,4) tree? Why or why not? Figure 11.22(a) 22 5 10 25 3 4 23 24 6 8 14 27 11 13 17 (a)

Our implementation of the treeSearch utility, from Code Fragment 11.3, relies on recursion. For a large unbalanced tree, it is possible that Javas call stack will reach its limit due to the recursive...

Dr. Amongus claims that the order in which a fixed set of entries is inserted into an AVL tree does not matterthe same AVL tree results every time. Give a small example that proves he is wrong.

You purchased 2,600 shares in the New Pacific Growth Fund on January 2, 2010, at an offering price of $41.60 per share. The front-end load for this fund is 5 percent, and the back-end load for...

Use the tollowing infermation to answer questions 13-15. Suppose the annual inflation rate in the US is expected to be 3.5 %, while it is expected to b 6,00 % in Australia The current spot rate for...

You own a portfolio that has $2,650 invested in Stock A and $4,450 invested in Stock B. If the expected returns on these stocks are 8 percent and 11 percent, respectively, what is the expected return...