Unit 7: Analogue and Digital Filters#
In this final section we will present a brief overview of filters and filter design.
In Unit 7.1: Designing Analogue Filters the aim is for you to be able to recognise the frequency response of the commonly used filter types; to be able to discuss the approach taken for analogue model filter design. We will demonstrate the magitude-squared representation used to design the poles and zeros of a low-pass filter and we will examine the Butterworth, Chebyshev and Elliptical filters. We will also demonstrate the analogue low-pass filter design tools, and filter transformation tools provided by MATLAB.
In Unit 7.2: Designing Digital Filters in MATLAB and Simulink we will discuss the architecture of finite-impulse response (FIR) and infinite-impulse response (IIR) digital filters. We will demonstrate the bilinear transform which is used to convert a continuous-time (analogue) filter to a discete-time filter; and we will demonstrate how such a filter can be represented in Simulink.
We will also demonstrate the filter design tool and filter comparison tools provided by the Signal Processing Toolbox ([MathWorks, n.d.]. We will also look at the options that MATLAB provides for simulating digital signal processing applications in Simulink and using code generation for the implementation of filter designs.
Scope and Background Reading#
This is a very large topic and we will give a fairly high-level overview. Much more detail is available in the references for this Unit which are Chapter 11 of [Karris, 2012] and [MathWorks, n.d.].
Contents#