)A cable has a bandwidth of 3000 Hz assigned for data communication. The SNR is 3162. How many signal levels do we need?

Explanation:

We need to use two theoretical formulas: Shannon Capacity and Nyquist Bit Rate.

From Shannon:

From Nyquist:

Where:

Using the data provided by the problem and the equations above, let's find the signal levels we need. Using the Shannon equation:

Where:

Now, using Nyquist equation:

Where:

Solving for :

Therefore, we need approximately 56.2 signal levels.

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