(a) If S n (f) Icirc plusmn 2 ( Icirc plusmn 2 4 Iuml 2 f 2 ) show that R n ( Iuml ) Ke Icirc plusmn Iuml Find K (b) Find R n ( Iuml ) if (c) If n (t) n c (t) cos(2 Iuml f 0 t Icirc cedil ) n s (t) sin(2 Iuml f 0 t Icirc cedil ), find S nc (f), and S ncns (f), where S n (f) is as given in part (b) Sketch each spectral density ,2 S, (f) 2 a 4x (f fo) a 4x ( fo)

Question: (a) If S n (f) = Î± 2 / (Î± 2 + 4Ï 2 f 2 ) show that R n (Ï) = Ke -Î±|Ï|

(a) If S_n(f) = Î±²/ (Î±²+ 4Ï€²f²) show that R_n(Ï„) = Ke^-Î±|Ï„|. Find K.

(b) Find R_n(Ï„) if

,2 S, (f) = 2 a² + 4x² (f – fo) a² + 4x² (ƒ + fo)´ ||

(c) If n (t) = n_c (t) cos(2Ï€f₀t + Î¸) - n_s (t) sin(2Ï€f₀t + Î¸), find S_nc(f), and S_ncns(f), where S_n (f) is as given in part (b). Sketch each spectral density.

,2 S, (f) = 2 a + 4x (f fo) a + 4x ( + fo) ||

Step by Step Solution

★★★★★

3.39 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a By inverse Fourier transformation t... 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 Principles Communications Systems Questions!

The double-sided power spectral density of noise n (t) is shown in Figure 7.17. If n (t) = n c (t) cos(2Ïf 0 t + Î¸) - n s (t) sin(2Ïf 0 t + Î¸), find and plot S nc...

Noise n (t) has the power spectral density shown in Figure 7.16. We write n(t) = n c (t) cos (2Ïf 0 t + Î¸) - n s (t) sin(2Ïf 0 t + Î¸) Make plots of the power...

A noise wave form n 1 (t) has the band limited power spectral density shown in Figure 7.18. Find and plot the power spectral density of n 2 (t) = n 1 (t) cos(Ï 0 t + Î¸) - n 1 (t)...

Using "On the Spectrum of Hydrogen" by Niels Bohr -What is the main idea of the Author's argument? What is the main essence of the piece? -What ways does the author use to propose and support their...

Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the exam, or if you prefer, create a document...

The prime-out should have 27 questions What Is Shawn s kinetic energy? Multiple-chokes questions may continue on Answer In units of J. the nest column of page - find all choke. before answering. 004...

2 STAT 330: Mathematical Statistics Winter 2016 Assignment 2 Name: ID: Due on Feb 29th (Monday) 11:30am in drop boxes across the hall from MC 4065/4066. 1 1. [7 marks] Let f (x, y) = kxy 2 , if 0 x...

In Exercises 35-38, find the derivative of each function and evaluate f' (x) at the given value of x. 35. f ( x) = (2x - 1) (x2 + 3); x = 1 36. f(x) = 2x+ 1 Tix = 2 2x - 1'06 10 anoillim ni benuacom...

Lab F-5: Integration Calculator A calculator is either required or permitted on all of the following questions. When indicated, all written work must be shown to earn full credit. 1. Suppose that fis...

Please quality check my solutions for this advanced heat transfer problem. Show all work. Thank you. All original documents are located at the bottom. 3.9 COMPACT HEAT EXCHANGERS 3.9.10-1 3.9.10...

Calculate each poisson probability: a. P (X 3), = 4.3 b. P (X > 7), = 5.2 c. P (X

1. Give an example of a data quality problem that was identified. Why was this problem not identified earlier? 2. At the end of the case, several data governance questions are raised. Choose any two...

The Arbitrage Price Theory ( APT ) differs from the CAPM because the CAPM

Describe the three time periods relevant to the trading process.

Block A in Fig. P5.73 weighs 2.40 N and block B weighs 3.60 N. The coefficient of kinetic friction between all surfaces is 0.300. Find the magnitude of the horizontal force necessary to drag block B...

A 25,000-kg rocket blasts off vertically from the earths surface with a constant acceleration. During the motion considered in the problem, assume that g remains constant (see Chapter 13). Inside the...

You are standing on a bathroom scale in an elevator in a tall building. Your mass is 64 kg. The elevator starts from rest and travels upward with a speed that varies with time according to u(t) =...

A builder is offering $123,737 loans for his properties at 9 percent for 25 years. Monthly payments are based on current market rates of 9.5 percent and are to be fully amortized over 25 years. The...

Problem Solution 6-44 Which car has a lower EUAC if the owner can earn A 5% in his best investment. Contributed by Paul R. McCright, University of South Florida Toyota Toyota Corolla Prius $19,200...

The greater use of debt by corporations since the late 1960s is best shown by the a) declining interest coverage ratio. b) small amount of common stock sold. d) inability of earnings to keep up with...