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Assuming high SNR and that all signals are equally probable, the additional average transmitted signal energy required by the $8$-PSK signal to achieve the same error probability as the $4$-PSK signal is
1. $11.90 \mathrm{~dB}$
2. $8.73 \mathrm{~dB}$
3. $6.79 \mathrm{~dB}$
4. $5.33 \mathrm{~dB}$