Discrete Pascal Filter and Its Hardware Realization

This paper presents the investigation of filtering characteristic hidden in discrete Pascal transform (DPT) called discrete Pascal filter (DPF) and its efficient hardware realization method. The DPF is divided into 2 types; highpass type DPF and lowpass type DPF. The DPF transfer function will be formulated for filtering characteristic investigation both 1-D and 2-D signal case. The Pascal transformation matrix that plays a role as a key operator in DPT can be factorized into binary matrices and resulting efficient hardware realization for the 1-D DPT. The 1-D DPF structure can be achieved by modifying the 1-D DPT efficient structure. For the 2-D DPF, the processing elements are based-on the 1-D DPF.