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MATH233 Unit 4 Submission AssignmentNAME (Required): _____________________________ Dr. Claude Shannon (1916–2001), the father of information theory, observed that the maximum error-free capacity in bits per second (bps) that is obtainable in a communication channel can be found by the Shannon–Hartley equation, as follows:CSNR= Blog2(1+SNR) bpswhere B is the bandwidth of the channel in hertz, and SNR is the signal-to-noise ratio of the channel. Because SNR≤ 0 does not make sense in this situation, assume that the following formula is correct:SNR=Signal strength in wattsNoise strength in watts >0This is a pure number with no unit labels on it. The value of C(SNR) is called Shannon’s capacity limit, or channel capacity. This is the theoretical upper limit for the bits per second through the channel with a specific SNR value and a specific given channel frequency bandwidth, B, in hertz.Be sure to show all of your work details for all calculations and explain in detail how the answers for the critical thinking questions were determined. Round all value answers to 3 decimals.In this assignment, you will use the following version of the Shannon–Hartley equation:CSNR=Blog21+SNR bpsIn the table below, based on the first letter of your last name, choose a value from the stated range for the bandwidth, B, for your communication channel’s bandwidth. For example, if your last name begins with A–F and you choose 100,000,000 for your value of B, then your channel capacity function for this assignment would be as follows:CSNR=100,000,000log2(1+SNR) bpsWrite your maximum error-free channel capacity function below the table.First Letter of Your Last namePossible Values for B (in hertz)A–F100,000,000–125,000,000G–L150,000,000–175,000,000M–R200,000,000–225,000,000 S–Z250,000,000–275,000,000State your channel capacity function here:Calculate C'SNR, the derivative of your channel capacity function, with respect to SNR. What is the meaning of C'(SNR) in the context of this channel capacity scenario? Show all of your work details.Generate a graph of this function CSNR using Excel or another graphing utility. (There are free downloadable programs like Graph 4.4.2 or Mathematics 4.0, online utilities like this site, and many others.) Insert both the function and the graph into the Word document containing your answers and work details. Be sure to label and number the axes appropriately.For your function from Question 1, what is the instantaneous rate of change in the maximum error-free channel capacity with respect to SNR when SNR=400? Show all of your work details.What is the equation of the tangent line to the graph of CSNR when SNR=400? Show all of your work details.In general, the Shannon–Hartley equation applies to any communication channel with a known bandwidth. For example, a device such as a cable modem may have a very high SNR (> 1,000), but it has a fairly narrow bandwidth. The Data Over Cable Service Interface Specification (DOCSIS) 3.0 requires that the downstream per channel bandwidth of a compliant cable modem must be either 6 or 8 MHz wide. Research the library or the Internet to find a reasonable downstream bandwidth in megahertz of a commercially available brand of cable modem. State the name of the commercially available cable modem that you found, and give the reference for this information. Use that bandwidth together with an SNR = 1,023 to find the channel capacity of the cable modem. Whether you have cable Internet service or not, are you getting this type of downstream service from your Internet service provider? What justification do you give for this answer? Show all of your work details on all calculations.ReferenceRohde & Schwartz. (2018). DOCSIS technology. Retrieved from https://www.rohde-schwarz.com/us/technologies/cable_tv/docsis/docsis-technology/docsis_technology_55513.html
Precalculus/Calculus

Precalculus/Calculus

Question # 00711820 Posted By: texasorginal Updated on: 09/18/2018 07:25 PM Due on: 09/18/2018
Subject Mathematics Topic Calculus Tutorials:
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.see attached three documents.

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MATH233_U5_Submission_assignment.docx (237.9 KB)
MATH233_U4_Subm_05_20_18.docx (24.75 KB)
MATH233_U3_Subm_05_20_18.docx (26.44 KB)
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    Tutorial # 00711962 Posted By: shortone Posted on: 09/18/2018 08:14 PM
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