2 added 16 characters in body
source | link

Any non-pathological exactly periodic signal can be decomposed into the sum of a bunch of sinewaves (overtones or harmonics). The weight of each harmonic component determines the shape of the waveform. A peak, assuming it is above the noise floor, would merely represent the largest weighted harmonic component.

The physics of many common simple systems with a (nearly) linear restoring force can be approximated by a differential equation whose solution is a series of complex exponentials, which can be broken down into a bunch of sinewaves at different frequencies and starting phases. Thus the usefulness of the FT in studying or controlling such systems.

Any non-pathological exactly periodic signal can be decomposed into the sum of a bunch of sinewaves (overtones or harmonics). The weight of each harmonic component determines the shape of the waveform. A peak, assuming it is above the noise floor, would merely represent the largest weighted harmonic component.

The physics of many simple systems with a linear restoring force can be approximated by a differential equation whose solution is a series of complex exponentials, which can be broken down into a bunch of sinewaves at different frequencies and starting phases. Thus the usefulness of the FT in studying or controlling such systems.

Any non-pathological exactly periodic signal can be decomposed into the sum of a bunch of sinewaves (overtones or harmonics). The weight of each harmonic component determines the shape of the waveform. A peak, assuming it is above the noise floor, would merely represent the largest weighted harmonic component.

The physics of many common simple systems with a (nearly) linear restoring force can be approximated by a differential equation whose solution is a series of complex exponentials, which can be broken down into a bunch of sinewaves at different frequencies and starting phases. Thus the usefulness of the FT in studying or controlling such systems.

1
source | link

Any non-pathological exactly periodic signal can be decomposed into the sum of a bunch of sinewaves (overtones or harmonics). The weight of each harmonic component determines the shape of the waveform. A peak, assuming it is above the noise floor, would merely represent the largest weighted harmonic component.

The physics of many simple systems with a linear restoring force can be approximated by a differential equation whose solution is a series of complex exponentials, which can be broken down into a bunch of sinewaves at different frequencies and starting phases. Thus the usefulness of the FT in studying or controlling such systems.