Consider the optimum detection of the sinusoidal signal s (t) sin (8t/T), 0 t T,
Question:
Consider the optimum detection of the sinusoidal signal s (t) sin (8πt/T), 0 ≤ t ≤ T, in additive white Gaussian noise.
(a) Determine the correlator output assuming a noiseless input.
(b) Determine the corresponding matched filter output, assuming that the filter includes a delay T to make it causal.
(c) Hence show that these two outputs are the same only at time instant t = T.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 72% (11 reviews)
For the noiseless case the received signal rt st 0 tT a The correlator ...View the full answer
Answered By
Gaurav Soni
Teaching was always an area where I can pursue my passion. I used to teach my friends and junior during my school and college life. After completing my professional qualification (chartered accountancy) and before joining my job, I also joined an organization for teaching and guidance to my juniors. I had also written some articles during my internship which later got published. apart from that, I have also given some presentations on certain amendments/complex issues in various forms.
Linkedin profile link:
https://www.linkedin.com/in/gaurav-soni-38067110a
5.00+
7+ Reviews
13+ Question Solved
Related Book For
Question Posted:
Students also viewed these Telecommunication Engineering questions
-
A white Gaussian noise process, , is input to two filters with impulse responses, h1(t) and h2 (t) , as shown in the accompanying figure. The corresponding outputs are Y1 (t) and Y2 (t),...
-
White Gaussian noise is input to an RC LPF. (a) At what sampling instants is the output independent of the input at time t = t1? (b) At what sampling instants is the output independent of the output...
-
A white Gaussian noise process N(t) with autocorrelation RN(Ï) = αδ(Ï) is passed through an integrator yielding the output Find E[Y(t)] and the autocorrelation...
-
Sunblessed Juice Company sells bags of oranges and cartons of orange juice. Sunblessed grades oranges on a scale of 1 (poor) to 10 (excellent). At present, Sunblessed has 100,000 pounds of grade 9...
-
American football uses a field that is 100.0 yd long, whereas a soccer field is 100.0 m long. Which field is longer, and by how much (give yards, meters, and percent)?
-
Why are monocultures susceptible to pest problems?
-
Adria Lopez is considering the purchase of equipment for Success Systems that would allow the company to add a new product to its computer furniture line. The equipment is expected to cost $300,000...
-
What opportunities might current IMF lending policies to developing nations create for international businesses? What threats might they create?
-
Particulars Case a Case c Detai Case b Details Amount Details Amount Details Amount 12.000 12,000 12,000 Uncommuted Pension 1/4/2018 to 31/7/2018 3,000x4) 1/8/2018 to 31/3/2019 600 x 8) 4.800 16,800...
-
Information related to Steffens Co. is presented below. 1. On April 5, purchased merchandise from Bryant Company for $25,000 terms 2/10, net/30, FOB shipping point. 2. On April 6 paid freight costs...
-
Consider a random process X (t) expanded in the form N, where W? (t) is a remainder noise term. The {? i? (t)} N i = 1 form an orthonormal set over interval 0 ? t ? T, and the X j are defined by. Let...
-
Figure shows a pair of signals s 1 (t) and s 2 (t) that are orthogonal to each other over the observation interval 0 ? t ? 3T. The received signal is defined by below, where w (t) is white Gaussian...
-
The function f is defined as f(x) = 2 2x 20(2 x ) + 64, x. a. Write f(x) in the form (2x a)(2x b), where a and b are real constants. b. Hence find the two roots of f(x).
-
Nequired information Exercise 5-17 (Static) Notes receivable-interest accrual and collection LO 5-6 (The following information applies to the questions displayed below) Agrico Incorporated accepted...
-
Case 14-3 Sarin Pharmaceuticals Ltd. Alan Mannik, director of procurement for the Sarin Phar- maceuticals Ltd. (Sarin) Animal Health Division plant in Vancouver, British Columbia, was planning for...
-
CL727 LEGAL ANALYSIS AND WRITING Module 11 Assignment: Brief Answer, Analysis, and Conclusion This assignment will be due in Module 11. Your assignment is to write the Brief Answer, Analysis, and...
-
Question 11 (0.5 points) l) Listen } As a drug manufacturer, you expect your latest wonder drug to lower cholesterol. It has been successful with a limited group of participants so far, so you have...
-
Redfern Audio produces audio equipment including headphones. At the Campus Facility, it produces two wireless models, Standard and Enhanced, which differ both in the materials and components used and...
-
Describe managers appropriate use of power and influence.
-
Government is advised to tax goods whose demand curves are inelastic if the goal is to raise tax revenues. If the goal is to discourage consumption, then it ought to tax goods whose demand curves are...
-
What is metallic character? What are the observed periodic trends in metallic character?
-
The horizontal deflection of the right end of the curved bar of Fig. 412 is given by Eq. (435) for R/h > 10. For the same conditions, determine the vertical deflection.
-
A cast-iron piston ring has a mean diameter of 81 mm, a radial height h = 6 mm, and a thickness b = 4 mm. The ring is assembled using an expansion tool that separates the split ends a distance...
-
If the power absorbed by the resistor in the network shown is 36 mW, find . 9 kQ 12 kQ 4 kQ
-
*please calculate irr in excel
-
Which of the following would not be a period cost? Research and development Direct materials Office supplies Advertising costs
-
\ table [ [ Activity Cost Pool,Activity Measure,Total Cost,Total Activity ] , [ Machining , Machine - hours,$ 3 3 0 , 0 0 0 , 1 5 , 0 0 0 MHs ] , [ Machine setups,Number of setups,$ 3 0 0 , 0 0 0 , 5...
Study smarter with the SolutionInn App