Question

A pcm system uses an uniform quantizer followed by 7 bit binary encoder. The bit rate of the system is equal to 50*106 bits per second. What is the maximum message bandwidth for which the system operates satisfactorily?

Answer 1

Answer:

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Answer 2

Answer:

Maximum Message Bandwidth = 3.57 X 10^6 Hz

Explanation:

Let the message bandwidth be W. Then, sampling the message signal at its Nyquist rate, and using an R-bit code to represent each sample of the message signal, we find that the bit duration is

Tb = Ts/R = 1 / (2WR)

The Bit Rate is Rb = 1/Tb = 2WR

The maximum value of message bandwidth is therefore

Wmax = ( 50 x 10^6 ) / ( 2 x 7 )

           = 3.57 x 10^6 Hz