Re:The Fourier Transform, explained in one sentence
by ska on Friday October 24, 2014 @05:01PM
(#8505972)
This approach is much more clear when you use inner product notation.
Another benefit is you can see exactly how it is similar to other basis like (orthonormal) wavelets, and dis-similar to so-called "over-complete" basis (complex wavelets, various frames). It also becomes easier to see what the projections onto basis vectors are doing, how/why energy is "concentrated" under a wavelet transform of natural signals, etc.
Another benefit is you can see exactly how it is similar to other basis like (orthonormal) wavelets, and dis-similar to so-called "over-complete" basis (complex wavelets, various frames). It also becomes easier to see what the projections onto basis vectors are doing, how/why energy is "concentrated" under a wavelet transform of natural signals, etc.