Sep 21, 2017 term paper 2

SHOW THE GENERAL ORTHOGONAL TRANSFORM DEFINED IN SECTION 10.3.1 IS AN ISOMETRY ON C N , I.E., IFV…

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Show the general orthogonal transform defined in Section 10.3.1 is an isometry on CN , i.e., ifv is the (orthogonal) transform of v then v=v. This shows, at one stroke, that the Fourier, cosine, and sine transforms are all isometries on either CN or RN .


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