Automated design of two-dimensional rational decimation systems

The paper gives an automated procedure to design rational decimation compression systems that resample two-dimensional bandpass signals at their Nyquist rates. Our procedure takes a sketch of the desired bandpass shape in the frequency domain, circumscribes it with a parallelogram of minimal area, and linearly maps the minimal enclosing parallelogram onto one period of the frequency domain. From the rational matrix that performs the linear mapping, we compute the parameters of the upsampler, filter, and downsampler in the compression system. The compression system only has linear components