Question

2 Imagine you are designing a portable hand-held device that uses wireless ommunications You have a license to operate the wireless modems over a 500 kHz portion of the radio spectrum. The engineers report that the average signal to noise ratio on this channel is 127:1. Equations below What is the maximum possible data transmission rate that can be achieved? a. What signal to noise ratio (indicate units on your answer) is required to double the data rate? b. per symbol would be required to achieve the same data rate as part a in the How many bits absence of noise? c.

Answer 1

Answer:

Given, SNR-127:1 bandwidth-500kHz a.actual data rata when using noisy channel capacity-Blog2(1+SNR) capacity- (500 10A3)log2 (1+127) -(500 1043)log2 (128) -(500 1043)7 -500000*7 -3500000Hz -3500Kbps b.1000000-500000(log2(1+SNR)) 2-log2(1+SNR) 4-1+SNR 3-SNR (y-log a(x)->x-a^y) therefore, signal to noise is -3:1 no units c.in case of noise less channel we have to use nyquist bit rate maximum bit rate-2Bandwidthlog2 (L) 3500000-2*500000(log2(L)) 35/10-log2(L) 3.5-log2(L) L-2A3.5 L-11.3 -12 No.of levels required to attain maximum bit rate-12

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