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Real-Time Digital Signal Processing - Chapter 5: Design and Implementation of FIR Filters

A filter is a system that is designed to alter the spectral content of input signals in a specified manner. Common filtering objectives include improving signal quality, extracting information from signals, or separating signal components that have been previously combined. A digital filter is a mathematical algorithm implemented in hardware, firmware, and/or software that operates on a digital input signal to produce a digital output signal for achieving filtering objectives. | Real-Time Digital Signal Processing. Sen M Kuo Bob H Lee Copyright 2001 John Wiley Sons Ltd ISBNs 0-470-84137-0 Hardback 0-470-84534-1 Electronic 5 Design and Implementation of FIR Filters A filter is a system that is designed to alter the spectral content of input signals in a specified manner. Common filtering objectives include improving signal quality extracting information from signals or separating signal components that have been previously combined. A digital filter is a mathematical algorithm implemented in hardware firmware and or software that operates on a digital input signal to produce a digital output signal for achieving filtering objectives. A digital filter can be classified as being linear or nonlinear time invariant or varying. This chapter is focused on the design and implementation of linear time-invariant LTI finite impulse response FIR filters. The time-invariant infinite impulse response HR filters will be discussed in Chapter 6 and the time-varying adaptive filters are introduced in Chapter 8. The process of deriving the digital filter transfer function H z that satisfies the given set of specifications is called digital filter design. Although many applications require only simple filters the design of more complicated filters requires the use of sophisticated techniques. A number of computer-aided design tools such as MATLAB are available for designing digital filters. Even though such tools are widely available we should understand the basic characteristics of digital filters and familiar with techniques used for implementing digital filters. Many DSP books devote substantial efforts to the theory of designing digital filters especially approximation methods reflecting the considerable work that has been done for calculating and optimizing filter coefficients. 5.1 Introduction to Digital Filters As discussed in previous chapters filters can be divided into two categories analog filters and digital filters. Similar specifications are .