Integration of Compressive Sensing into first principle electromagnetic design, modeling & simulation

The design of present and future electromagnetic systems, in an increasingly electronically complex world, is going to depend upon the speed and efficiency of our computational systems. Many of these computations require the use of first principle electromagnetic codes to perform full wave analyses. Unfortunately, these methods are very time consuming and memory prohibitive due to the inherent complexity of the systems being designed. At present, the models currently being used for analysis of electromagnetic computations could take days or even weeks to formulate a solution. Since real-time computation analysis is essential for efficient design, Northrop Grumman has been working extensively to discover ways in which to make these necessary calculations faster and more efficient. The rate at which signals are sampled in order to capture all of the information of a signal is equal to twice the Fourier bandwidth of the signal (Nyquist rate). However, we have found that many important electromagnetic problems have a property called sparseness, where some of the Fourier coefficients are negligible thus allowing the number of samples required to capture all of the signal´s information to be reduced. This approach, called compressive sampling (CS), can be used to exploit signal sparseness and allow signals to be sampled without losing information. We have been developing the concept of CS, applying it to reduce the computational time required for complex electromagnetic problems and interfacing this capability with first principle electromagnetic codes to perform full wave analyses.