In this paper we propose to incorporate scattering coefficients of a target
into weighted Costas waveform model and using adaptive technique to find these
optimal weights, and hence to improve the radar’s Narrowband Ambiguity Function
(NAF). We confirm that the proposed formula of NAF is considered as a better
representation of the target echo and results in much better Auto-Correlation
Function (ACF) in the sense of decreasing the sidelobe level without needing to
increase the number of the frequencies in the Costas waveform. We will also show
that the obtained adaptive waveform doesn’t affect the original resolution and yields
less sensitivity to delay-Doppler coupling problem. We suppose that the received
signal depends on scattering coefficients obtained from Swerling models. The
developed optimization problem, to adaptively design the weighted Costas
waveform, adequately describe the features of the target such that the volume under
the corresponding NAF surface best approximates the volume under a desired
ambiguity function (AF) surface. What is more, we demonstrate that the optimal
solution will redistributes the signal energy at scatters of the target such that the
weaker scatter should be assigned with more energy than the stronger one. Finally,
we will prove the effectiveness of our adaptive waveform design through simulation
results.