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Chapter 4 Design of FIR Filters - Newcastle University

EEE305 , EEE801 Part A : Digital Signal Processing Chapter 4: Design of FIR Filters Chapter 4. Design of FIR Filters Introduction Digital FIR Filters have many favourable properties, which is why they are extremely popular in digital signal processing. One of these properties is that they may exhibit linear phase, which means that signals in the passband will suffer no dispersion. Dispersion occurs when different frequency components of a signal have a different delay through a system. The simplest Design method for FIR Filters is impulse response truncation (IRT), but unfortunately it has undesirable frequency-domain characteristics, owing to the Gibb's phenomenon. The second Design method for a FIR filter that we shall cover in this Chapter is the windowing technique. The windowing method can be used to mitigate the adverse effects of impulse response truncation.

4.2.1 Low-pass Filter design Consider the ideal low-pass filter frequency response, as illustrated in Figure 4.1 below, with a normalised angular cut– off frequency Ωc. Usually the subscript D is used to distinguish between the ideal and actual, impulse and frequency responses of …

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