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At this article, firstly the author examines the variation of the autocorrelation function over time of carrier waves by analytical method to confirm the maximum correlation at the time of sampling. Next, by linear algebra method, the author determines the cross corelation between all carrier waves to prove that the maximum correlation is one of the correlative peaks. Finally, in order to clarify the decisive sense of the correlative peaks, the author built simulation programs to determine the error probability characteristics following signal to noise ratio (SNR) to evaluate the effectiveness of the baseband digital transmission systems according to two methods of using carrier waves as the pulse phase modulation type and the wavelets packet type.