time-domain signals

Concept

Sinusoids

use the to represent a discrete variable

Phase shifts

• the waves may not be perfectly phased
• represent a phase shifted sinusoid as a weighted sum of sine and cosine, using trigo identities

Sum of frequencies

• any sound is a combination of tones
• a large enough number of frequencies , can represent a sound well enough

Periodic signals

• fundemental frequency -> defines the frequency at which the combined signal oscillates at

• repeats forever: sum of periodic functions -> periodic

• base case with 2 frequencies

sine and cosine are interchangeable here since all that maters is the angluar frequency of each tone

• large number of frequencies

Extra

Angluar frequency