Part I
Getting Started with Signals and Systems
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In this part . . .
Find out why computer and electrical engineers need to understand signals and systems analysis.
See how signals and systems function in the worlds of continuous- and discrete-time.
Discover alternative domains used for modeling signals and systems.
Refresh your mathematical know-how and see how algebra, calculus, and trig apply to signals and systems work.
Explore the basic means for assessing the performance of technology-based solutions.
Chapter 1
Introducing Signals and Systems
In This Chapter
Figuring out the math you need for signals and systems work
Determining the different types of signals and systems
Understanding signal classifications and domains
Checking out possible products with behavioral level modeling
Looking at real products as signals and systems
Using open-source computer tools to check your work
Which came first: the signal or the system? Before you answer, you may want to know that by system, I mean a structure or design that operates on signals. You live and breathe in a sea of signals, and systems harness signals and put them to work. So which came first, you think? It may not really matter, but I’m guessing — as I smooth out a long imaginary philosopher-type beard — that signals came first and then began passing through systems.
But I digress. The study of signals and systems as portrayed in this book centers on the mathematical modeling of both signals and systems. Mathematical modeling allows an engineer to explore a variety of product design approaches without committing to costly prototype hardware and software development. After you tune your model to produce satisfactory results, you can implement your design as a prototype. And at some point, real signals (and sometimes math-based simulations) test the system design before full implementation.
When studying signals and systems, it’s easy to get mired in mathematical details and lose sight of the big picture — the functional systems of your end result. So try to remember that, at its best, signals and systems is all about designing and working with products through applied math. Math is the means, not the star of the show.
Two broad classes of signals are those that are continuous functions of time t and those that are discrete functions of time index n. Throughout this ...