Design of a Low-Cost VLSI Architecture for 2-D Biorthogonal Discrete Wavelet Transforms
Chu Yu, Sao‐Jie Chen · 2002
The wavelet transform, similar to the Short-Time Fourier Transform, furnishes an alternative approach to signal processing, especially suitable for the analysis of spatial and spectral locality. However, the 2-D wavelet transform needs the same enormous computation as their counterpart Fourier transforms. In this paper, we present a low-cost VLSI architecture for 2-D biorthogonal discrete wavelet transforms. Both the efficient arrangement of a computation schedule and the symmetric property of biorthogonal filters used in this architecture contribute to the hardware cost minimization. For the computation of an N x N 2-D image with a filter length L, this architecture spends near N^2 clock cycles, and requires about 2NL - 2N storage unit, 15L/8 multipliers for even-length filters or 15[L/2+1] /4 multipliers for odd-length filters, as well as 4(L-1) adders.