Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

-A company’s telephone exchange (PBX or hosted IP- PBX) digitizes telephone chan

ID: 3666310 • Letter: #

Question

-A company’s telephone exchange (PBX or hosted IP- PBX) digitizes telephone channels at 8000 smp/s, using 8 bits for quantization. The telephone exchange transmits simultaneously on 24 telephone channels over the same communications link

a)What’s the required per channel data rate ?

b)What is the combined data rate for the 24 channels over the communications link ?

c)In order to provide voice-mail service, the telephone exchange can store three-minute audio messages using the same digitizing process used for a telephone channel. How many megabytes of data storage space are needed to store a three-minute voice-mail message ?

Explanation / Answer

First I will do second question, then i will go with first question.

b) for 24 channels.. ==> 8000 x 24 = 192,000 smp/s

---------------------------------------------------------------------------------------------------------------------------------------------------------

a) Required per channel data rate is

already we calculated above , for 24 channels it require 192,000 smp/s

for quantization it takes 8 bits ==> 192,000 x 8 == 1,536,000 bps

So required data rate is 1,536,000 bps

---------------------------------------------------------------------------------------------------------------------------------------------------

c) Already we calculated above, we got result about 1,536,000 bps

which in Mega bytes, 1,536,000 / 1024 ===> it is almost equal to ~~ 1.46 mbps