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# Analysis of digital signal over twisted pair cable

A data transmission system transmits data at 0.772 Mbps over a twisted pair cable. The line is equalized such that the transfer function of the line from 0 Hz to 500 kHz has constant attenuation and linear phase shift with frequency. The transmitter and receiver have ideal baseband RRC filters with filter rolloff = 0.25. At the receiving terminal the signal to noise ratio (SNR) is 14.0 dB and the receiver has an implementation margin of 0.4 dB.

a. What is the maximum symbol rate for this link and the number of bits per symbol? What format would you recommend for the transmitted current pulses on this baseband link?

b. Find the BER at the receiver output and the average time between errors.

c. Rain occasionally seeps into one of the junction boxes on the line causing an increase in noise. SNR falls to 11.0 dB, What is the bit error rate and the time between errors now?

d. The bit rate on the link needs to be increased to a T1 rate of 1.544 Mbps. What change must be made to the transmitted signal?

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A data transmission system transmits data at 0.772 Mbps over a twisted pair cable. The line is equalized such that the transfer function of the line from 0 Hz to 500 kHz has constant attenuation and linear phase shift with frequency. The transmitter and receiver ...

#### Solution Summary

A data transmission system transmits data at 0.772 Mbps over a twisted pair cable. The line is equalized such that the transfer function of the line from 0 Hz to 500 kHz has constant attenuation and linear phase shift with frequency. The transmitter and receiver have ideal baseband RRC filters with filter Rolloff = 0.25. At the receiving terminal the signal to noise ratio (SNR) is 14.0 dB and the receiver has an implementation margin of 0.4 dB.

a. What is the maximum symbol rate for this link and the number of bits per symbol? What format would you recommend for the transmitted current pulses on this baseband link?

b. Find the BER at the receiver output and the average time between errors.

c. Rain occasionally seeps into one of the junction boxes on the line causing an increase in noise. SNR falls to 11.0 dB, What is the bit error rate and the time between errors now?

d. The bit rate on the link needs to be increased to a T1 rate of 1.544 Mbps. What change must be made to the transmitted signal?

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