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In a baseband communications link, frequencies up to 3500 Hz are used for signaling. Using a raised cosine pulse with 75% excess bandwidth and no inter-symbol interference, the maximum possible signaling rate in symbols per second is

1. 1750
2. 2625
3. 4000
4. 5250

Correct answer: 4000

Solution

For a raised cosine pulse, the one-sided baseband bandwidth is \(B = \frac{(1+\alpha)R_s}{2}\), where \(\alpha=0.75\). With \(B=3500\) Hz, solving gives \(R_s = 4000\) symbols/s. This is the maximum rate that avoids inter-symbol interference.

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