In this problem, we study a T1 carrier system used in digital telephony. Voice signals are usually filtered using a low-pass filter of cut-off frequency 3.4 kHz and then sampled at 8 kHz. This system multiplexes samples from 24 voice signals in a single sampling period. Voice signals are coded with 8-bit PCM, and each frame (one sampling period) consists of 24 samples plus a single bit added for synchronization.
a. Calculate the duration of each bit. Note that this system multiplexes 24 samples each with 8 bits plus a single bit onto the time duration between two consecutive samples Ts = 1/ fs .
b. Calculate the resulting transmission rate.
Known quantities:
Voice signals have bandwidth of 3.4 kHz and sampled at 8 kHz with an 8-bit quantizer. Each frame of the T-1 line consists of 24 voice channel samples plus a single bit for synchronization.
Find:
a) Duration of each bit.
b) Transmission rate.
Analysis:
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