The standard sampling rate (in Hz) used for sampling speech signals in telephony systems is 8 kHz with 8 bits assigned per sample. Based on this fact, calculate how much time it would take to transmit one second of raw digitized speech over a transmission line that has the ability to carry 128 kbps
To calculate the time it would take to transmit one second of raw digitized speech over a transmission line that has a capacity of 128 kbps, we need to consider the sampling rate and the number of bits per sample.
Given that the standard sampling rate is 8 kHz and there are 8 bits assigned per sample, we can calculate the bitrate as follows:
Bitrate = Sampling Rate × Bits per Sample
= 8 kHz × 8 bits
= 64 kbps
Now, we can determine how much time it would take to transmit one second of raw digitized speech using the bitrate and the transmission line capacity:
Time = (Data Size) / (Bitrate)
Data Size = Sampling Rate × Bits per Sample × Time
= 8 kHz × 8 bits/sample × 1 second
= 64 kbps × 1 second
Now, we can determine the time it would take using the transmission line capacity of 128 kbps:
Time = (Data Size) / (Bitrate)
= 64 kbps × 1 second / 128 kbps
= 0.5 seconds
Therefore, it would take 0.5 seconds to transmit one second of raw digitized speech over a transmission line with a capacity of 128 kbps.