Consider the quantized demodulator for binary PSK signals shown

Consider the quantized demodulator for binary PSK signals shown in Figure. The quantizer is a four-Level quantizer, normalized as in Figure. Evaluate the transition probabilities of the binary input-quarternary output discrete memory less channel so characterized. Hence, show that it is a symmetric channel. Assume that the transmitted signal energy per bit is E, and the additive white Gaussian noise has zero mean and power spectral densityN0/2.