Chapter 7

LTI System Differential and Difference Equations in the Time Domain

In This Chapter

arrow Checking out LCC differential equation representations of LTI systems

arrow Exploring LCC difference equations

A special class of LTI systems contains systems that have linear constant coefficient (LCC) differential or difference equation representations in the continuous- or discrete-time domains, respectively. (Find general information about LTI systems in the time domain in Chapters 5 and 6.)

warning_bomb.eps One thing to know right off the bat here is that the abbreviation LCCDE often applies to both the continuous- and discrete-domain systems, but differential equations aren’t the same as difference equations. To lessen the confusion, I use the acronym LCC to shorten linear constant coefficient in this chapter and then spell out whether I’m talking about a differential equation system or a difference equation. If in doubt when you’re reading other engineering materials, it’s probably safe to bet that LCCDE, if not otherwise defined, is referring to linear constant coefficient difference equations.

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