What you will be a part of
Surveillance provides efficient solutions for safety and security, for surveillance and decision support, and for threat detection and protection. The portfolio covers airborne, ground-based and naval radar, electronic warfare, combat systems and C4I solutions, and traffic management systems.
Business unit Airborne Surveillance System is responsible for airborne radar systems and you will be part of the section Concepts & Functions responsible for advanced system studies related to current and future products.
Estimating the frequency, amplitude and damping parameters of sinusoidal signals from noisy measurements is an important part in many applications, and one example is here radar applications. Because of its many applications the problem has been extensively investigated in the past. To determine the unknown parameters by a direct minimization of a quadratic data term leads to a non-convex problem which is difficult to solve using non-linear programming methods when the number of sinusoidal components is large.
If the measurements are formed into a Hankel matrix, then in the ideal noise free case, the rank of the Hankel matrix will correspond to the underlying system order and properties in the Hankel structure can be used to directly calculate the sinusoidal signal parameters without non-linear programming. Therefore, the problem can instead be formulated as a least-squares optimization problem to find a Hankel matrix which approximates the matrix of measurement that has a pre-determined rank. This kind of optimization problems can be solved in multiple ways and new methods has recently been introduced in the literature.
The thesis will:
- Evaluate different formulations of the optimization problem and how it affects the accuracy of the estimation.
- Compare optimization solvers in terms of robustness and computational properties.
- Investigate how well the proposed methods handle special cases such as missing measurement values, e.g. the missing data case
- Present the result in a report and with a presentation.
Your skills and experience
The thesis is suitable for one or two students with relevant background.
The position entails working with classified information. Therefore, you are required to participate in and pass a security test conducted by authority.
Senast uppdaterad: 21 december 2018 • 15:31