Find Signal to noise ratio (SNR)

[naspek]

has a transfer characteristic |H(f) given in the link below. The transmission is at maximum error-free rate of 4,800 bps. Compute the SNR (signal-to-noise-ratio) at the channel output. Does the output signal suffer from any distortion?

http://imageshack.us/photo/my-images/263/79465468.jpg/
http://imageshack.us/photo/my-images/263/79465468.jpg/"

First.. from the figure given, i know bandwidth, B = 3kHz..
next, R is given..

from channel capacity theorem or Shannon theorem, when the probability of error would approach zero if R < C
however, i can't find Channel capacity, C because there is not enough information..

how am i going to solve this question?

 

[KataKoniK]

you can use the formula for SNR (signal-to-noise ratio) to calculate the SNR at the channel output. The formula for SNR is SNR = (Psignal/Pnoise), where Psignal is the power of the signal and Pnoise is the power of the noise. In this case, the maximum error-free rate is given as 4,800 bps, which means that the maximum signal power is 4,800 bps. However, the noise power is not given in the forum post, so you will need to estimate it.

One way to estimate the noise power is by using the noise bandwidth, which is the bandwidth over which the noise is spread. In this case, since the bandwidth is given as 3 kHz, you can assume that the noise power is spread over this bandwidth. Therefore, the noise power can be estimated as 3 kHz * Pnoise.

Next, you will need to calculate the signal power, Psignal. This can be done by using the formula for power, which is P = V^2/R, where V is the voltage and R is the resistance. In this case, the maximum signal rate is given as 4,800 bps, so you can use this to calculate the voltage.

Once you have calculated both the signal power and the noise power, you can plug them into the formula for SNR to calculate the SNR at the channel output. If the SNR is high, it means that the signal is stronger than the noise and there is less distortion in the output signal. However, if the SNR is low, it means that the noise is stronger than the signal and the output signal may suffer from distortion.

In conclusion, as a scientist, you can use the formula for SNR to calculate the SNR at the channel output and determine if the output signal suffers from any distortion. However, without knowing the noise power, it may be difficult to accurately estimate the SNR. It is important to have all the necessary information to accurately solve this question.