Problem

Show that the lifting-based wavelet transform defined by Eq. (8.2-62) is equivalent to the...

Show that the lifting-based wavelet transform defined by Eq. (8.2-62) is equivalent to the traditional FWT filter bank implementation using the coefficients in Table 8.15. Define the filter coefficients in terms of α, β, γ, δ, and K.

TABLE 8.15 Impulse responses of the low- and highpass analysis filters for an irreversible 9-7 wavelet transform.

Filter Tap	Highpass Wavelet Coefficient	Lowpass Scaling Coefficient
0	−1.115087052456994	0.6029490182363579
±1	0.5912717631142470	0.2668641184428723
±2	0.05754352622849957	−0.07822326652898785
±3	−0.09127176311424948	−0.01686411844287495
±4	0	0.02674875741080976

(8.2-62)

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