Derivation and analysis of statistical mainlobe to sidelobe ratio of the noise phase modulated continuous wave radar

The sidelobes of pulse compression of noise phase modulated continuous wave radar (NPMCWR) are shown as a noise floor with random characteristic. The mathematical expressions of statistical mainlobe to mean square sidelobe ratio(SMMSSR) and statistical mainlobe to peak sidelobe ratio (SMPSR) are deduced. The relationships between the mainlobe to sidelobe ratio and some parameters such as pulse compression length, Doppler frequency and effective phase shift are analyzed. The results calculated by the mathematical expressions are close to the Monte-Carlo simulation results so that verify the correction of the deduction results.