Abstract
It is well known that efficient perfect reconstruction (PR) FIR filter banks can be obtained by modulating a prototype filter. We present a class of two-dimensional nonseparable rectangular sampling PR modulated filter banks. The modulation is constrained to be separable while the prototype filter is allowed to be nonseparable. This lead to considerably simplification in the PR condition and design procedure. The resulting PR condition on the prototype is equivalent to the 4 channels PR property of a set of polyphase components. A design example of a 4-channel length (8/spl times/8) orthogonal nonseparable filter is also given to illustrate the proposed method. >
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