The basic observation is that if, by completing the square, the expression can be reduced to a sum of two squares then it defines an ellipse, whereas if it reduces to a difference of two squares then it is the equation of a hyperbola: Thus, in our example expression, the problem is ...
To find the equation of the hyperbola whose foci are at (0, ±√10) and which passes through the point (2, 3), we can follow these steps:Step 1: Identify the foci and determine c The foci of the hyperbola are given as (0, ±√1
As all of the time-shifted responses are coherently summed and integrated at each position, the hyperbola signatures of targets are focused, while the clutter maintain their original positions. Therefore, the sparsity of the target response is improved, and the low-rank property of the clutter ...