Recursive updating the eigenvalue decomposition of a covariance matrix Xxx wap came4 free chat

12-Aug-2020 02:12

Stack Exchange network consists of 175 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Visit Stack Exchange A naive approach is to use the eigenvalue solution of your matrix $A(t)$ as the initial guess of an iterative eigensolver for matrix $A(t \delta t)$. New iterative methods for solutions of the eigenproblem. A subspace tracking method is apparently more useful (3). An excerpt from (4): The iterative computation of an extreme (maximal or minimum) eigen pair (eigenvalue and eigenvector) can date back to 1966 [72]. This leads to large apertures to achieve angular resolution. The present invention relates to radar systems and methods generally, and more specifically to methods of detecting a jammer. The frequency dependence of the RCS encourages use of lower microwave frequency bands for detection. On the other hand, constrained apertures lead to wider beamwidth, which implies interception of more mainlobe jamming.

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Given a "prior" eigenvalue decomposition (say at some initial time $t^0$), these recursive algorithms lower the complexity of the spectrum update from $\mathcal(N^3)$ (essentially the cost of a new eigendecomposition) to $\mathcal(k N^2)$ where $N$ is the size of your matrix and $k$ is the rank of your update.