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- W1134627706 abstract "The wavelet transforms, particularly those for orthonormal and biorthogonal wavelets with finite support, have emerged as a new mathematical tool for multiresolution decomposition of continuous-time signals with potential applications in computer vision, signal coding, and others. These wavelet bases are closely linked with the unitary two-band perfect reconstruction quadrature mirror filter (PR-QMF) banks and biorthogonal filter banks. This chapter describes the continuous wavelet transform as a signal analysis tool with the capability of variable time-frequency localization and compares it with the fixed localization of the short-time Fourier transform. The chapter discusses link between the multiresolution aspect of the compactly supported wavelet and subband techniques. The two-band PR filter banks play a major role in this linkage. The multiresolution aspect becomes clear upon developing the one-to-one correspondence between the coefficients in the fast wavelet transform and the dyadic or octave-band subband tree. The chapter introduces the concept of Haar wavelets, which are discontinuous in time, and the Shannon wavelets, which are discontinuous in frequency, to illustrate the examples of multiresolution wavelet concepts." @default.
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- W1134627706 date "2001-01-01" @default.
- W1134627706 modified "2023-10-09" @default.
- W1134627706 title "Wavelet Transform" @default.
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- W1134627706 doi "https://doi.org/10.1016/b978-012047141-6/50006-9" @default.
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