3. Convolution

This chapter introduces the fundamental concepts behind filtering and convolution. We’ll stick to the basics in this chapter, and leave the more detailed analysis for later chapters.

Specifically, we’ll cover:

• How to build up convolution from simpler operations of delay, gain, and mixing

• Formally defining convolution

• The concept of impulse response

• Different convolution modes

• Algebraic properties of convolution (without proof)