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Posted: **Fri May 06, 2022 7:04 am**

: 8 Shannon Multiresolution Analysis For Je Z Let V Be The Space Of All Finite Energy Signals F For Which The Fourie 1 (27.36 KiB) Viewed 45 times

: 8 Shannon Multiresolution Analysis For Je Z Let V Be The Space Of All Finite Energy Signals F For Which The Fourie 2 (20.14 KiB) Viewed 45 times

8. (Shannon Multiresolution Analysis). For je Z, let V; be the space of all finite energy signals f for which the Fourier transform f equals 0 outside of the interval [-2¹, 2¹7]—that is, all ƒ € L²(R) that are band-limited and have supp(f) C[-2/n, 2¹π].
(c) Show that satisfies the scaling relation, (x) = 6 (2x) + Σ - (2x - 2k-1). 2(-1)* (2k + 1)π KEZ (d) Find an expansion for the wavelet associated with p.