Explain the difference between bit rate and baud rate. What baud rate is…

2010

Explain the difference between bit rate and baud rate. What baud rate is required to achieve a data rate of 10 Mb/s using Manchester encoding?

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Concept

Bit rate is the rate at which information bits are conveyed, measured in bits per second (bit/s). Baud rate is the rate at which signal elements or symbols are transmitted, measured in baud (symbols per second).

If one signal element carries r data bits on average, the relation is S = N/r, where N is the bit rate and S is the baud rate. Manchester encoding represents each data bit by two consecutive half-bit signal elements, so r = 1/2 bit per signal element and S = 2N.

Application

  1. Given bit rate: N = 10 Mb/s.

  2. For Manchester encoding, r = 1/2 bit per signal element.

  3. Therefore, S = N/r = 10/(1/2) = 20 Mbaud.

Cross-check

At 10 Mb/s, one bit lasts 0.1 microsecond. Manchester encoding divides it into two signal intervals of 0.05 microsecond each; 1/(0.05 microsecond) = 20 million signal elements per second, which is 20 Mbaud.

Hence, the required baud rate is 20 Mbaud.

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