Abstract
This study deals with the problem of radar waveform design based on the weighted mutual information (MI) and the difference of two mutual information metrics (DMI) in signal-dependent interference. Since the target and clutter information are included in the received signal at the beginning of the design, DMI-based waveform is designed according to the following criterion: maximizing the MI between the received signal and target impulse response while minimizing the MI between the received signal and the clutter impulse response. This criterion is equivalent to maximizing the difference between the first MI and the second MI. Then maximizing the difference of two types of MI is used as the objective function, and the optimization model with the transmitted waveform energy constraint is established. In order to solve it, we resort to maximum marginal allocation (MMA) method to find the DMI-based waveform. Since DMI-based waveform does not allocate energy to the frequency band where the clutter power spectral density (PSD) is greater than the target PSD, we propose to weight the MI-based waveform and DMI-based waveform to synthesize the final optimal waveform. It could provide different trade-offs between two types of MI. Simulation results show the proposed algorithm is valid.
Highlights
Radar performance is dependent on the signal processing at receiving end, and closely related to the transmitted waveform [1]. e transmitter of conventional radar transmits the same fixed waveforms every time regardless of environment factors
(2) Since DMI-based waveform takes into account the minimum mutual information between the received signal and clutter, the energy of DMI-based waveform is only allocated to the frequency bands whose target power spectral density (PSD) is stronger than the clutter PSD
We have developed radar waveform design based on weighted MI and DMI criterion in the presence of clutter, which takes into account the fact that the received signal contains more target information and as little clutter information as possible
Summary
Radar performance is dependent on the signal processing at receiving end, and closely related to the transmitted waveform [1]. e transmitter of conventional radar transmits the same fixed waveforms every time regardless of environment factors. In [3], Bell first proposed to maximize the received signal and target impulse response (TIR) to optimize the transmitted waveform. In [26], the authors developed a close-loop adaptive OFDM waveform design approach based on maximizing MI criterion in the presence of signal-dependent clutter. According to the above analysis, the waveform design methods based on mutual information are mainly to maximize the target information in the received signal or minimize the uncorrelated parameters as the optimization criterion. (1) We first present a waveform design method based on DMI criterion, which ensures that the receive signals could contain more target information and less clutter information compared with conventional radar. DMI-based waveform will not allocate energy to the frequency band where the clutter PSD is greater than the target PSD, which results in received signals containing little target information within these bands. Where z(t) x(t) ∗ g(t), d(t) x(t) ∗ c(t) + n(t), and the symbol ∗ denote convolution
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