Question
Download Solution PDFIn a 10-bit PCM system, a message signal having maximum frequency of 4 KHz is to be transmitted. If the bit rate of this PCM system is 60 Kbits / sec, the appropriate sampling frequency is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The bandwidth of a PCM system for an encoded signal sampled at a frequency of fs is given by:
Bit rate = n fS
fS = Sampling frequency
n = number of bits used for encoding.
n is related to the number of quantization levels (L) as:
L = 2n
n = log2 L
Calculation:
the maximum frequency for the signal will be 4 kHz.
n = 10 bits, Rb = 60 Kbits/sec
Bit rate = n fS
fs = 6 kHz
And fm is given as 4 kHz i.e
fs ≥ 2fm
fs ≥ 8 kHz
So, fs = 6kHz leads to undersampling.
Hence, option 1 and 2 can't be correct.
Option 4: fs = 9 kHz leads to oversampling
Hence, option 3 is correct fs = 8 kHz
∴ The appropriate value of the sampling frequency (fs) will be 8 kHz
Last updated on Jun 6, 2025
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