Abstract
In this chapter we continue the analysis of the filters presented in Chapters 15 and 16Chapter 15Chapter 16. Here we consider the filter in the broader context of a linear time-invariant system that was introduced in Chapter 13. We relate the filter's properties in the time domain and frequency domain. We quantify the relationship between the filter's time constant and the so-called −3-dB point that indicates the transition between pass band and stop band in the filter's frequency response. The filter's frequency characteristic is depicted in two types of plots: the Bode plot and the Nyquist plot. MATLAB® scripts present examples of the analysis of the filter characteristic and the approach is employed to describe the characteristic measured in Chapter 15. In addition to the use of sinusoidal or step inputs to perturb the filter, we present and demonstrate the approach where noise is employed to find the filter's frequency response.
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