Signal processing algorithms relative phase modulation in the presence of additive Gaussian noise in a stationary exponential correlation function

We proposed and investigated a new algorithm for processing signals relative phase modulation. It is based on the processing of samples of the quantized signal consisting of two segments of low-frequency sine waves modulating oscillation. Sinusoids can have the same phase and may be in antiphase. When sinusoids have the same phase, the transmitted logical unit. In this case, the samples are formed equally spaced intervals from the beginning of sine waves, followed by taking the absolute values of such amounts and accumulate taken absolute values. The amount of the accumulated absolute value is then equal to twice the sum of samples of the first segment of a sine wave. When different phases of the sinusoids are then accumulated sum of the absolute values is equal to zero, and transmitted to a logic zero.

This signal processing is studied in the presence of this type of additive noise, when correlated with each other all the readings of low-frequency modulating oscillation.

To reduce the influence of additive noise using the method of accumulation averaged signal samples.

This improves the noise immunity of radio system that uses an algorithm signal processing, without resorting to the use of error-correcting coding. It calculated the probability of error electronic system, based on this signal processing algorithms and then comparing with the noise immunity of radio systems using classical relative phase modulation.

The proposed processing algorithm counts the low-frequency modulating waveforms is easy that leads to the simplicity of hardware implementation, and how to be a low cost radio system based on the proposed algorithm.