Abstract
This chapter introduces the main steps for the design and implementation of linear and time-invariant digital filters. A digital filter is one of the basic building blocks in digital signal processing systems. Digital filtering consists of mapping a discrete-time sequence into another discrete-time sequence that highlights the desired information while reducing the importance of the undesired information. Digital filters are present in various digital signal processing applications related to speech, audio, image, video, and multi-rate processing systems. The widely available digital technology allows the implementation of very fast and sophisticated filters in a cheap and reliable manner. As a result, the digital fliers are found in numerous commercial products, such as audio systems, bio-medical equipment, digital radio, and TV. A typical digital signal processing (DSP) system comprises four types of modules: analog-to-digital (A/D) converter, digital filter, digital-to-analog (D/A) converter, and low-pass filter.
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