Consider a two-dimensional two-channel filter bank with quincunx downsampling. Assume that H 0 (z…

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Consider a two-dimensional two-channel filter bank with quincunx downsampling. Assume that H0(z1, z2) and H1(z1, z2) satisfy (3.6.4–3.6.5). Show that their impulse responses with shifts on a quincunx lattice form an orthonormal basis for 2(Z∈)