A PCM transmission system has the following characteristics: • Gaussian input signal a(t) with…

A PCM transmission system has the following characteristics:
• Gaussian input signal a(t) with zero mean and standard deviation σa = 2 V;
• uniform quantizer with load factor 1/kf = 4;
• required signal-to-quantization noise ratio greater than 40 dB.
Find the probability of having a wrong sample at the receiver, knowing that the binary channel is characterized by the bit-error probability Pbit = 10−6.