Efficient Computational Model of Phase Noise and its Applicability to Assess the Performance of Digital Modulation Techniques
Keywords:
M-ary PSK, phase error, phase noiseAbstract
Two methods are proposed to get a discretetime model for a sinusoidal carrier signal affected by phase noise of a predetermined power spectral density (PSD). The proposed methods aim to calculate the instantaneous phase error at the discrete time samples. In the first method, uncorrelated uniformly distributed random numbers are generated at the discrete time samples and added to the angle of the carrier. These phase samples are, then, correlated along the time by enforcing the spectrum of the signal to take the magnitudes obtained from the predetermined PSD. In the second method, uniformly distributed random numbers are generated at the discrete frequencies which are uncorrelated along the frequency to represent the phase of the signal spectrum. In both methods, a subsequent application of the inverse Fourier transform results in the time domain waveform of the signal in which the time samples of the phase error appear as correlated random values. The instantaneous phase error is calculated for different ratios of the noise-to-carrier power. Experimental measurements of the PSD of the phase noise for some commercially available microwave generators are performed and the measurements are used to calculate the instantaneous phase error associating the output signal. In all the cases, the obtained phase noise model is used to study the effect of such a noise type on the performance of M-ary PSK communication systems where the dependence of the bit-error-rate on the noiseto- carrier power level is investigated.
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References
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