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For this purpose, the bit error rate (BER) performance of three blind algorithms is studied based on post correlated model of received signal, and a time\u2010varying multiple vector channel model which is an extended form of the Gaussian wide sense stationary uncorrelated scattering (GWSSUS) channel. By using the Volterra series theory, an analytical expression for amplitude modulation to phase modulation (AM\u2013PM) conversion is determined as a phase statement of LNA compression. In this approach, by combining the analytical expression for AM\u2013PM conversion and CDMA blind beamforming techniques, we evaluate the AM\u2013PM distortion effects on BER performance of a CDMA system originated from multiple non\u2010linear LNA blocks. Simulation results show that conditions are found to minimize AM\u2013PM conversion introduced by multiple non\u2010linear blocks in the system leading to low BER. 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