Consider the first level E1 multiplexing hierarchy, where 30 voice signals each bandlimited to 4 kHz

Consider the first level E1 multiplexing hierarchy, where 30
voice signals each bandlimited to 4 kHz are sampled at Nyquist rate and encoded
by 8 bits/sample. The multiplexed signals are transmitted at a rate of 2.048
Mbps.

a. Determine the bit duration of the multiplexed signal and
that of one of the 30 signals before multiplexing.

b. If the bit amplitudes are 1 Volt before multiplexing,
determine the bit amplitude of multiplexed signal if the bit energy remains the
same before and after multiplexing. Determine the corresponding increase in the
transmit power of the multiplexed signal

Consider the first level E1 multiplexing hierarchy, where 30
voice signals each bandlimited to 4 kHz are sampled at Nyquist rate and encoded
by 8 bits/sample. The multiplexed signals are transmitted at a rate of 2.048
Mbps.

a. Determine the bit duration of the multiplexed signal and
that of one of the 30 signals before multiplexing.

b. If the bit amplitudes are 1 Volt before multiplexing,
determine the bit amplitude of multiplexed signal if the bit energy remains the
same before and after multiplexing. Determine the corresponding increase in the
transmit power of the multiplexed signal in dB.

c. Determine the increaseinthe bandwidth of the multiplexed
signal compared to that of a signal before multiplexing. Determine the
percentage contribution of overheads to the bandwidth of the multiplexed
signals.

d. If the Eb/N0 of the multiplexed signal is chosen so as to
achieve a bit error probability of 10_6 , determine the average number of
bit errors that may be observed in 10 seconds?

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