8-PSK Constellation Diagram for M=4 PSK System Implementation

To implement an 8-PSK constellation system with M=4, we can configure different signal-to-noise ratio (SNR) values such as 0dB, 10dB, and 20dB, and observe the received signal vectors on the constellation diagram at the receiver end. This approach helps in better understanding system performance and signal transmission characteristics through practical simulation. The implementation typically involves generating PSK symbols using phase-shift keying modulation, where M=4 represents 4 distinct phase points (0°, 90°, 180°, 270°) evenly distributed on the constellation diagram. For each SNR value, we add AWGN (Additive White Gaussian Noise) to the transmitted signals using mathematical modeling. The key functions would include symbol mapping, noise variance calculation based on SNR, and constellation plotting using visualization tools. The code structure generally follows these steps: first, generating random input symbols and mapping them to constellation points; second, calculating noise power according to the specified SNR values; third, adding complex Gaussian noise to the transmitted symbols; and finally, plotting the received symbols on the constellation diagram for visual analysis of system performance under different noise conditions.