Need someone help my Shannon?Hartley capacity theorem question... Help will be a
ID: 666745 • Letter: N
Question
Need someone help my Shannon?Hartley capacity theorem question...
Help will be appreaticed...many thanks !!
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You work for an international consultancy implementing communication solutions for governments all over the world. The government of Molvania wishes to establish a radio-based data link between two of its police bases. It has invited your company to tender of the implementation of a coding and modulation scheme for the link. In its tender documents, the Molvanian Communications Commission has assigned the frequency band between 182 MHz and 182.0965 MHz for the project.
Based on the specifications for the transmitter and antennas to be used, as well as the distance between the bases, you calculate that the received power will be around 31 pW.
You submit a tender and the government offers you the contract. The small print of the project says that contractors will have to stay in a secure guest room in one of the police bases until the project is finished to specification and handed over in working order. Also, the government states that the noise power measured in the band at the receiving sites is 0.37 fW. The bit rate to be achieved is 1 Mbps. You estimate that your company's technology will be able to achieve half of the capacity given by the Shannon-Hartley theorem. Should you sign the contract? Justify your answer.
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Explanation / Answer
Shannon–Hartley theorem states the maximum rate at which the information can be transmitted over a communication channel of some specified bandwidth in the presence of noise.
According to the question the Molvanian government requires the bit rate to be achived as 1 Mbps. But according to the Shannon-Hartley theorem my company's technology will be able to achive only haf of the capacity i.e 500 Kbps. We see that there will be a data loss of 50% over the communication channel which will lead to communication problems between the two police bases. So I should not sign the contract as it will lead to a bad image of my company if it leads to communication problems.
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