Necessary conditions for synthesis of side-lobe suppression filters for phase manipulated signals

In many wireless communication systems such as radars, radio-navigation and radio - synchronization systems, the exploited radio signals must possess the so-named ideal auto - correlation function (ACF), resembling the Dirac delta - function (pulse). For many classes of phase manipulated (PM) signals it is possible to transform their periodic ACFs (PACFs) in ideal PACFs by the so-named side-lobe suppression filters (SLSFs). Due to this reason in the paper two necessary conditions for synthesis of energy-efficient SLSFs are proved. On this base it is demonstrated that for the wireless communication system the PM signals with flat or nearly flat energy spectrum could be as useful as the PM signals with ideal PACF.