Making Waves with Funky Functions
In This Chapter
Observing spikes with the impulse function
Creating step functions
Rising or falling with the exponential function
Cycling with sinusoidal functions
DC signals don’t change with time . . . kinda boring, right? More interesting signals change in time like music. Such signals may spike, jump around, or rise and fall. They may build or decline steadily, or they may shoot up or plummet, picking up speed. They may repeat in cycles, continuing on and on.
Electric signals that change in time are useful because they can carry information about the real world, like temperature, pressure, and sound. This chapter covers basic time-varying signals commonly found in circuit analysis, including info on their key properties.
A word of warning: This chapter doesn’t meet the high benchmarks of the Grand Poobah of precision math, but it’s good enough to play with some funky functions.
Spiking It Up with the Lean, Mean Impulse Function
The first funky function is one you may have never heard of, but it occurs frequently in real life. It’s ...