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?
Show answer & explanation
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
Given bit rate: N = 10 Mb/s.
For Manchester encoding, r = 1/2 bit per signal element.
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.