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this question is invalid due to a prick copying answer network physical layer 2.

ID: 3567830 • Letter: T

Question

this question is invalid due to a prick copying answer

network physical layer 2. A channel has bandwidth in the range between 98.9MHz to 99.1MHz, has a signal to noise ratio of 31. You would like to send CD-quality music (with frequency range 0 to 22KHz) over the channel. (a) What is the Shannon capacity of the link? (b) What is the maximum bits per sample you can use to digitize the music and transmit over the channel, assuming that the Shannon capacity can be achieved? (c) Assume that you are using 16-bits per sample. What is the minimum SNR required, assuming that the Shannon capacity can be achieved?

Explanation / Answer

a) Formula is C = B log2 (1+SNR)
therefore (99.1Mhz-98.9Mhz) log2 (1+31)=200000 log2 (32) =1000000


b) bit rate = sampling rate * bit per sample
1000000/sampling rate = bits per sample
Bits per sample = 1000000/(22000*2) = 22.73 (2 decimal places)


c) Sampling rate = 22Khz*2 = 44000 samples/S
Bit rate = 16*44000 = 704000
C=B log2 (1+SNR)
704000/(99.1Mhz-98.9Mhz) = log2 (1+SNR)
SNR = 10.47 (2 decimal place)