SciTech-Mathmatics-FourierSeries: Time Domain and Frequency Domain + Amplitude(Power) / Frequency / Phase

Time Domain and Frequency Domain

• Frequency domain: measured by Spectrum Analysiszer
  Tells us how properties (amplitudes) change over frequencies:

• Time Domain: measured by Oscilloscope
  Tells us how properties(such as Amplitude(Power), Phase, and so on) change over time:

• Property of transforms:
  They convert a function from one domain to another with no loss of information

  • Fourier Transform:
    converts a function from the time (or spatial) domain to the frequency domain
    In 1807, Jean Baptiste Joseph Fourier showed that any periodic signal could be represented by a series of sinusoidal functions

Samples Spectrum Plane:

Amplitude(Power) Axis Verses Time Axis + Frequency Axis

Samples Complex Plane:

Amplitude(Power) Axis(Image) + Phase Cycle(Real) Verses Time Axis