Question

Define the meaning of the "Probability of error" and the "Bit Error Rate(BER). Briefly describe their relationship.

Answer 1

Probability of error:

It is basically how much chance that recieved bit is not match with the transmitted bit or if we transmit 0 or 1 then how much chance that it recieved as 1 or 0.

Bit Error Rate:

The bit error rate (BER) is number of bit errors per unit time. The bit error ratio (BER) is number of bit errors divided by the total number of transferred bits during a particular time interval.

As an example, assume this transmitted bit sequence:

0 1 1 0 0 0 1 0 1 1

and the following received bit sequence:

0 0 1 0 1 0 0 0 0 1,

The number of bit errors (the underlined bits) is, in this case, 4. The BER is 4 incorrect bits divided by 10 transferred bits, resulting in a BER of 0.4 or 40%.

Relationship.

The probability of error is the expectation value of the bit error rate. The bit error rate can be considered as an approximate estimate of the probability of error. This approximate estimate is accurate for a long time interval and a high number of bit errors.