The theoretical background for z-transform, Shannon sampling theorem, and fast Fourier-transform signal processing is addressed in this manual on digital filtering methods for 1-D and 2-D signals. Providing a preliminary step for the analog-to-digital filter conversion, the design of time-continuous filters is discussed along with the main approaches to Finite Impulse Response (FIR) and Infinite Impulse Response (IIR) filters, bidimensional digital filtering (image filtering), and stability analysis.
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