Question

The average signal power to the average noise power is expressed as:

(S/N)out = 3M²/1+4(M²-1)Pd, where M is the quantized level and P is the bit error probability.
a) If there is no bit error, what is the value of (S/N)out

Answer 1

If there is no bit error (P=0), the value of (S/N)out simplifies to 3M², indicating the ratio of average signal power to noise power is directly proportional to the square of the quantization level, M.

Step-by-step explanation:

The student is asking about the expression of the average signal power to the average noise power, given by the formula (S/N)out = 3M²/(1+4(M²-1)Pd), where M represents the quantized level and P represents the bit error probability.

The question specifically asks what the value of (S/N)out would be if there is no bit error, meaning if P is 0. When P=0, the expression simplifies because the term involving P drops out. Thus, the formula becomes (S/N)out = 3M². This indicates that with no bit error, the average signal power to average noise power ratio is directly proportional to the square of the quantization level, M.