### Fourier Theorem

states that any complex vibration is the sum of various sinusoidal motions of varying amplitude, frequency, and phase.

### Periodic motion

a motion that repeats itself in regular intervals until it is stopped by external action

### Waveform Synthesis

The process of combining several individual sinusoidal motions into a complex waveform

### Harmonics

Frequency components of a complex waveform that are whole-number multiples of its fundamental frequency

### Greatest Common Factor

The fundamental frequency of a complex waveform; how we calculate fundamental frequency

### Missing fundamental

A complex periodic wave in which no component is equal to the fundamental frequency; there is no energy at the fundamental frequency

### Waveform Analysis

the process of breaking down a complex waveform and determine its components

shows amplitude and frequency

### Spectrum

a graphical representation of a complex waveform showing the waveform energy (amplitudes) of the individual components (y axis) arranged in order of frequency (x axis)

### Continuous spectrum

When thousands of spectral components are in a spectrum they do not appear as individual lines, but because they are so close together, they cannot be differentiated from each other

### Impedance

The opposition to the flow of energy through a system

For a given force (F) applied to a mechanic system, the complex mechanic characteristics of the system affect its velocity (v)

F = Z x v

Measured in ohms

relates the velocity of a system to the force acting on the system

### Periodic Motion

motion that repeates iteself in regular intervals until it is stopped by external action