Optimal waveform design oriented toward cognitive radar in fractional Fourier domain

Abstract

In this paper the problem of waveform design using Fractional Fourier Transform (FRFT) in signal-dependent interference, as well as additive channel noise for stochastic extended target is investigated. Within constraints on waveform energy and duration, the optimum waveform design in fractional Fourier domain based on the signal to interference plus noise ratio (SINR) criterion is modeled. Simulations conducted to illustrate that by changing angle variable, the energy of optimal waveform designed in fractional Fourier domain can be distributed in some narrow bands where the target power is large and the interference power is small. In addition, the waveform designed in fractional Fourier domain is proved more flexible and effective than that in Fourier domain, especially when the spectral density of target response and interference are relatively dispersed and flat.