In this paper was investigated pilot signal detection results recovery after rather different receivers in wireless sensor networks. The known receivers compute the decision statistic provided by correlating pulses from adjacent frames and summing the contributions from all the frames of a symbol. In our cases we assume, that synchronization is consisted with providing accurate timing for the correlation computations at receiver for output signal energy concentration. At the receiver output we have pulse with some kind noise distribution or output signal modulation. Results of that were utilized for determined signal and for determined method of detection (single signal detection). It is considered three cases signal detection: constant amplitude signal without restrictions on the characteristics of noise variance: the same signal with normal noise distribution; the same noise distribution and for sinusoidal enveloping of modulated signal. The analytical formulas were obtained for catching right pilot signal in all cases and optimized value of cоmparator threshold.