Chapter 5

Continuous-Time LTI Systems and the Convolution Integral

In This Chapter

arrow Understanding the general input/output relationship

arrow Digging into the convolution integral and its properties

arrow Working with the step response, impulse response, and stability implications

Ready to get pumped up on what you can do in the time domain with linear time-invariant (LTI) systems?

remember.eps The starting point is the convolution integral, the main time-domain tool for relating the output of a system to its input in combination with the impulse response (IR). In other words, the IR enables you to calculate a system’s output in terms of the input. You can use the IR in different ways; one way is convolution.

In this chapter, I describe the relationship between the impulse response and convolution integral and introduce properties related to these concepts. I also provide tips on how to manage the nitty-gritty details of convolution.

The mechanics of the convolution integral are tedious, no doubt, so I provide several worked-through examples and include information about computer tools that can help you ...

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