Information theory and radar waveform design

Abstract

The use of information theory to design waveforms for the measurement of extended radar targets exhibiting resonance phenomena is investigated. The target impulse response is introduced to model target scattering behavior. Two radar waveform design problems with constraints on waveform energy and duration are then solved. In the first, a deterministic target impulse response is used to design waveform/receiver-filter pairs for the optima1 detection of extended targets in additive noise. In the second, a random target impulse response is used to design waveforms that maximize the mutual information between a target ensemble and the received signal in additive Gaussian noise. The two solutions are contrasted to show the difference between the characteristics of waveforms for extended target detection and information extraction. The optimal target detection solution places as much energy as possible in the largest target scattering mode under the imposed constraints on waveform duration and energy. The optimal information extraction solution distributes the energy among the target scattering modes in order to maximize the mutual information between the target ensemble and the received radar waveform.

Cognitive waveform and receiver selection mechanism for multistatic radar

“…We also consider a Swerling I extended target, which consists of seven closely-spaced scatterers moving at the same velocity. The range extent of the target is proportional to the system range resolution, which is the basic condition for extended target consideration as mentioned in [21].…”

Mimo Radar Systems Design Based on Maximum Channel Capacity

“…Since it can form M t M r channels of line-ofsight (LOS) (i.e., only one path between each transmit antenna and each receive antenna channel), like in communication theory [15]. We notice that the greater the MI between the target impulse response and the measurement, the better capability of parameter estimation [12]. Then channel capacity, defined as the maximum of the MI [17], is a good tool used to evaluate the system performance.…”

“…In [11], signal design for MIMO radar with colocated antennas based on transmit beam pattern is considered, focusing the power around the locations of the target, parameter estimation accuracy can be significantly improved. Among these criterions for waveform optimization, information theoretic criteria play an important role for MIMO radar waveform design, just like for conventional radar [12].…”

Random Radiation Source Optimization Method for Microwave Staring Correlated Imaging Based on Temporal-Spatial Relative Distribution Entropy

“…In information theory, information entropy or Shannon entropy is used to characterize the uncertainty degree of the random variables, and is widely used in radar system designing. In [16,17], mutual information is utilized to design radar waveform. The researches in [18,19] apply relative entropy to select the waveform in the point target model.…”