For the given communication system, the receiver needs to have a minimum BER (bit-error-rate) of 2.5x10^-7. If the communication system has a 16-PSK modulation scheme, what would be the minimum required energy-to-noise ratio per bit to guarantee the BER? You may use the figure below or calculate it by hand.
Symbol Error Probability for an M-ary PSK, Coherent Detected
M=2 M=4 M=8 M=16 M=32 M=64
SER(M) 10^-4 10^-6 10^-8 10^-5
E/N(dB)
0 5 10 15 20 25 30