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Let\' say we have a 3KHz channel to transmit a given binary data. What data rate

ID: 2082627 • Letter: L

Question

Let' say we have a 3KHz channel to transmit a given binary data. What data rate will this channel support in bits/second for the following line codes: (a) Binary polar signaling with full width rectangular pulses (NRZs). Assume the approximate/essential bandwidth discussed in class for rectangular pulses. (b) Binary polar signaling with raised cosine pulses with alpha = 0.25. Here, use the exact/absolute raised cosine BW. (c) 4-ary signaling with raised cosine pulses with alpha = 0.25. Here too, use the exact/absolute raised cosine BW.

Explanation / Answer

(a) Minimum bandwidth required for NRZ coding=fb/2

Where fb is data rate.

So fb/2=3KHz

fb=2*3KHz=6kbps

Maximum data rate supportedby the channel=6kbps.

(b) Minimum bandwidth required for Polar signalling=fb/2

Where fb is data rate.

So fb/2=3KHz

fb=2*3KHz=6kbps

Maximum data rate supportedby the channel=6kbps.

(c) Minimum bandwidth required for 4-ary signalling=fb/2

Where fb is data rate.

So fb/2=3KHz

fb=2*3KHz=6kbps

Maximum data rate supportedby the channel=6kbps.