Orthogonal waveform set design based on time-stagger coding and hyperbolic coding

•Orthogonal waveforms design method with time-stagger and hyperbolic coding is given.•The transmitting time of subpulses is time-stagger coded to lower the ASP and CCP.•A well designed SFLFM pulse train is selected as waveform to nullify grating lobes.•The transmitting order of SFLFM subpulses is hyperbolic coded to lower the CCP.•The designed waveform set possesses an excellent orthogonal performance.

The successful design of an orthogonal waveform set is crucial for orthogonal netted radar systems and MIMO radar systems. An orthogonal waveform set design method of time-stagger coding and hyperbolic coding stepped-frequency linear frequency modulated (SFLFM) pulse train is proposed in this paper. First, the transmitting time of SFLFM subpulses is time-stagger coded to decrease the autocorrelation sidelobe peaks (ASP) and cross-correlation peaks (CCP) when |τ|≥Tp|τ|≥Tp, where τ   is the time delay and TpTp is the subpulse duration. Then the frequency firing order of the SFLFM subpulses for every waveform is hyperbolic coded to lower the CCP when |τ|