The response of a linear monostable system and its application in parameters estimation for PSK signals

• The response of a linear monostable system driven with a periodic signal and an additive white Gaussian noise is analyzed.
• The optimal parameter of this linear monostable system to maximum the output SNR-gain is obtained.
• Application of this linear monostable system in parameters estimation algorithm for PSK signals obtains performance improvement.

The output characteristics of a linear monostable system driven with a periodic signal and an additive white Gaussian noise are studied in this paper. Theoretical analysis shows that the output signal-to-noise ratio (SNR) decreases monotonously with the increasing noise intensity but the output SNR-gain is stable. Inspired by this high SNR-gain phenomenon, this paper applies the linear monostable system in the parameters estimation algorithm for phase shift keying (PSK) signals and improves the estimation performance.