Signal model classification between two possbile candidates - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T00:48:46Z http://mathoverflow.net/feeds/question/116054 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/116054/signal-model-classification-between-two-possbile-candidates Signal model classification between two possbile candidates Soup 2012-12-11T07:35:52Z 2013-02-21T21:22:00Z <p>How to decide the most possible signal model between two model candidates besed on the received signal vector?</p> <p>Assume the received signal vector is \$y\$, the possible signal model candidates could be:</p> <p>(1) \$y = Ax+n\$, or</p> <p>(2) \$y = Bx+n\$,</p> <p>in which \$x\$ is the transmitted signal vector, and \$A\$ and \$B\$ are the system matrices for signal model candidate-1 and candidate-2 respectively, and \$n\$ is the Gaussian noise vector.</p> <p>If \$y\$,\$A\$ and \$B\$ are all known, and the noise covariance matrix is \$E[nn^H] = w^2I\$, in which \$w^2\$ stands for noise power, and \$I\$ is the identity matrix, how to decide the most possible signal model candidate between the two. What's the optimal solution?</p> <p>Thanks for any discussions.</p> http://mathoverflow.net/questions/116054/signal-model-classification-between-two-possbile-candidates/116301#116301 Answer by Soup for Signal model classification between two possbile candidates Soup 2012-12-13T17:24:57Z 2012-12-13T17:24:57Z <p>A good reference book could be</p> <p>Hero, A. “Signal Detection and Classification” Digital Signal Processing Handbook Ed. Vijay K. Madisetti and Douglas B. Williams Boca Raton: CRC Press LLC, 1999</p> <p>in which different scenarios were discussed. Besides, some reference books are also helpful.</p>