periodic signals
JB Fourier, an 19th century mathematician, determined that all complex periodic waves are composed of – and can be broken down into – a set of sine waves of different frequencies, amplitudes, and phase relationships.
Describe what would result in the following two examples. Describe the resulting waveforms and spectra for each example:
- What wave results by adding the following three sine waves that are in phase:
- 120 Hz, peak amplitude 5 milliVolts (mV)
- 120 Hz, peak amplitude 8 milliVolts (mV)
- 120 Hz, peak amplitude 2 milliVolts (mV)
2. Adding together the following three sine waves:
- 120 Hz
- 240 Hz
- 360 Hz