Both discrete wavelet transform (DWT) and inverse DWT are implemented
using the lossless quadrature mirror filter (QMF) bank. The image pass
ing through the finite impulse response QMF filtering becomes blurred
and thus requires fewer number of pixels. Such a decimation amounts to
the critical sampling that leads to the complexity O (N) for N data.
The data compression comes from the permissible bits per pixel dynamic
range compression of those filtered images having fewer details. The
image reconstruction at a telereceiving station is accomplished by mea
ns of the inverse DWT. Thus, a complete biorthogonal basis of QMF is i
mplemented by a fast wavelet transform chip designed with Verilog HDL
and the image processing is demonstrated numerically. Adaptive DWT is
sketched.