GATE EC 2016 Set 2 — Question 32
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Communications → Source Coding & Baseband Transmission → Baseband Pulse Transmission
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Question
A speech signal is sampled at kHz and encoded into PCM format using bits/sample. The PCM data is transmitted through a baseband channel via -level PAM. The minimum bandwidth (in kHz) required for transmission is ________
Correct answer
15.9 to 16.1
Solution
To find the minimum bandwidth required for transmission, we follow these steps:
Given levels:
Therefore, the minimum bandwidth required is kHz.
1.Calculate the bit rate ():
The bit rate is the product of the sampling frequency () and the number of bits per sample ().2.Calculate the symbol rate ():
For an -level PAM signal, the symbol rate is given by:Given levels:
3.Calculate the minimum bandwidth ():
The minimum bandwidth required for baseband transmission without Inter-Symbol Interference (ISI), also known as the Nyquist bandwidth, is half the symbol rate:Therefore, the minimum bandwidth required is kHz.
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