Random-phase radar waveforms with shaped spectrum

A. W. Doerry; B. Marquette

doi:10.1117/12.2015326

Abstract

A random phase signal will also have random phase differences between two independent random phases. A phase increment across a time increment is in fact a phase-rate, or frequency. A phase-rate change is in fact a frequency-hop. By controlling the phase-rate, that is the characteristics of the phase increments, we can control the spectrum of the random-phase waveform. Spectrum precision and sharpness is enhanced by holding a frequency for some ‘chip’ length. For digitally generated phase samples, this means that the chip length needs to be many samples. This is a time-bandwidth issue. The definition of ‘many’ will depend on the sharpness desired, but often several tens’ of samples will be adequate. To shape the Energy Spectral Density (ESD) of a random-phase signal, we need to control the average energy at various phase-rates. This can be done with either or a combination of 1) Controlling the likelihood of specific phase increments, and/or 2) Controlling the duration of a specific phase increment chip length. For range-Doppler images, it is the 2-dimensional Impulse Response (IPR) that is of principal concern. This will tend to average out the random effects of any single pulse.

Citation Download Citation

A. W. Doerry, B. Marquette, "Random-phase radar waveforms with shaped spectrum", Proc. SPIE 8714, Radar Sensor Technology XVII, 87141G (31 May 2013); doi: 10.1117/12.2015326; https://doi.org/10.1117/12.2015326

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