Because feedback requires careful consideration of stability and causality, the transform tool of choice is almost always the Laplace transform. Yet, in many applications it is the Fourier transform that arises most naturally.

Continue reading “The Fourier and the Laplace transforms”# Tag: frequency response

## Step-by-step Bode plot example. Part III

We have gone step-by-step over how to sketch straight-line approximations for the magnitude and phase diagrams of the Bode plot for a simple rational transfer-function. This transfer-function had only left-hand side poles and zeros, that is it was *minimum-phase* (see Section 7.2). In this post we consider a *non-minimum phase* transfer-function with a right-hand side zero. See Section 7.1 for details on the approximations.

## Step-by-step Bode plot example. Part II

In a previous post we have gone step-by-step over how to sketch straight-line approximations for the magnitude diagram of the Bode plot for a simple rational transfer-function. In this post we cover the sketch of the phase diagram. See Section 7.1 for details on the approximations.

Continue reading “Step-by-step Bode plot example. Part II”## Step-by-step Bode plot example. Part I

In this post we will go over the process of sketching the straight-line Bode plot approximations for a simple rational transfer-function in a step-by-step fashion. See Section 7.1 for details on the approximations. We will start with the magnitude plot and cover the phase plot in a future post.

Continue reading “Step-by-step Bode plot example. Part I”