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MC-EZBC is one kind of subband wavelet coders exploiting temporal correlation and fully embedded in quality/bit-rate, spatial, and frame rate. By combining MCTF and EZBC and other non-trivial techniques as well, the latest MC-EZBC achieves the best rate-distortion performance in literature. However, the way to find the λmv.opt, used for optimally pruning the motion vector trees still allows room for improvement, since it is not adaptive to the motion vector trees and it costs high off-line computation as well. We propose a novel method to find an adaptive λmv.opt for each motion vector tree. Simulation results show that the new way is fast and efficient, and that it brings a gain about 0.05-0.2 dB for widely used testing video clips.