Exercise 6.33. Show that the Discrete Fourier Transform in CN of the Fourier basis vector e; is given by the standard basis vector sj, that is, éj = sj, for 0 ≤ j ≤ N – 1. Start with the case N = 4. ◊

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.5: Applications
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Exercise 6.33. Show that the Discrete Fourier Transform in CN of
the Fourier basis vector e; is given by the standard basis vector sj,
that is, éj = sj, for 0 ≤ j ≤ N − 1. Start with the case N = 4. ◊
Transcribed Image Text:Exercise 6.33. Show that the Discrete Fourier Transform in CN of the Fourier basis vector e; is given by the standard basis vector sj, that is, éj = sj, for 0 ≤ j ≤ N − 1. Start with the case N = 4. ◊
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