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kukumaluboy
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Homework Statement
Q1
A linear PCM system has an input signal 2cos6000PIt volt. Determine,
(a) the minimum sampling rate required,
(b) the number of bits per PCM codeword required for a signal to quantization noise ratio of at least 40 dB,
(c) the maximum quantization error voltage,
(d) the dynamic range in dB.
(a) 6000 Hz (b) n = 7 (c) 15.63 mV (d) 42 dB
The Attempt at a Solution
a) By Nyquist theorom , for a analog signal to be accurate reproduced, it should be sampled at a rate of not less than 2 times the highest frequency.
2cos6000PIt = 2cosPIft
therefore highest f= 6000/2 = 3000Hz
Sample f= 2 x 3000Hz = 6kHz
b)SNq = 6n (in dB)
Therefore 40dB <=6n (bigger or equals to)
n= 7 bits
c) How to Do
d)Dynamic Range = 6n = 6*7 = 42 dB