Signals and Systems For Dummies

Chapter 10

Sampling Theory

In This Chapter

Getting the gist of sampling

Working with the ADC for periodic sampling

Checking out the sampling theory view in the frequency domain

Using the low-pass sampling theorem

Avoiding aliasing with an antialiasing filter

Returning to the continuous-time using a DAC plus an interpolation filter

The discrete-time signals you deal with in the real world often occur as a result of periodic (uniform) sampling of continuous-time signals. I’m talking about speech signals going into a cellphone, music signals captured in a recording studio, sensor signals in your car, radio signals in wireless devices, and the like. In this chapter, I describe the fundamentals of sampling theory and show you that designing a sampling system that allows for accurate reconstruction of a continuous-time signal from only discrete-time samples isn’t too difficult.

Basically, ...