hw2 - Due 5:00 PM Wednesday EE 695A 1 Homework No 2 Spring...

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Due 5:00 PM Wednesday, 2/17/99 EE 695A Homework No. 2 Spring 1998 1. Consider a finite dimensional model for a linear, bichromatic vision system. Assume that we sample at N = 3 wavelengths. Supppose that the sensor response matrix is given by S = 1 0 0 1 0 0 a. Find the response of this sensor to the stimulus r n = 1 2 3 [ ] T . b. Find the fundamental component r n * for this stimulus. c. Find the blackspace component r n c for the stimulus. d. Find a metamer r n to r n such that r n r n . 2. Let S be a 31 × 3 matrix with rank 3; and let S = span( S ). Let r v be any vector S . Show by differentiation with respect to the elements of r a that the vector r u S that is closest to r v in the Euclidean norm is given by r u = S r a , where r a = S T S [ ] - 1 S T r v . (Note that you should establish that the stationary point is in fact a minimum.) 3. By definition, the fundamental component r n * of a stimulus r n can be expressed as a linear combination of the columns of the sensor matrix
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hw2 - Due 5:00 PM Wednesday EE 695A 1 Homework No 2 Spring...

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