In this lab session, we explored Maple's capabilities to compute Laplace transforms, defined convolutions of continuous signals, and showed the cascading of plants in the frequency domain, all within one worksheet:
Taking advantage of the availability of MATLAB, we jumped to section 10.6, which contains the important theorem leading to Bode plots. We have seen the discrete version of this theorem in chapter 4 and derived from it a conceptual filter design. The theorem determines the gain and phase lead of a linear, causal, and time-invariant filter from the radius and argument of the transfer function evaluated at a complex exponential for various frequencies.In MATLAB, we illustrate the performance of two filters: