Odd-length armlets with flipping property and its application in image compression

Armlet introduced by Lian is a novel property of multiwavelet designed for signal processing. In this paper, we first recall some concepts of armlet. Then, we construct a new class of analysis ready multiwavelets (armlets) with odd-length filters based on Lian’s method. To test the performance of armlet in application, we study the statistical analysis of their discrete multiwavelet transforms (DMWTs) and use them to compress images. In comparison with other wavelets, armlets show potential advantages.