The paper deals with the estimation method of a carrier and time of arrival by chirp-like phase-coded sequence. The developed estimation method of the carrier and time of arrival is suitable for primary synchronization upon signal detection in phase and frequency modulation modems. This method is of less computational complexity relative to the realization of matched filter assembly. To implement this method of estimating the carrier frequency and time of arrival, only two matched filters are required, regardless of the length of the sequences. The selection of sequences has been made. The Zadoff-Chu (ZC) sequence is shown to be more preferable for the estimation method in question than the Frank sequence.