What is the spectrum of a function?

A spectrogram is a visual way of representing the signal strength, or “loudness”, of a signal over time at various frequencies present in a particular waveform . Not only can one see whether there is more or less energy at, for example, 2 Hz vs 10 Hz, but one can also see how energy levels vary over time.

The first graph represent the signal in Amplitude vs Time components, the second graph represents the phase spectrum of the signal in Phase vs Frequency graph by using phase_spectrum() on the signal having time period from 5 to 10 seconds, 0.25 radian phase angle, frequency of the signal is calculated from the given …

Frequency spectrum of a signal is the range of frequencies contained by a signal .

Frequency domains graphs usually look like a series of mountain peaks. The location of the each peak along the horizontal axis indicates the frequency of the peak . Low frequency sounds appear at the left end of the FFT; higher frequency sounds are at the right.

The frequency domain representation of a periodic signal is a line spectrum . It can only have non-zero values at DC, the fundamental frequency, and harmonics of the fundamental. Because periodic signals have no beginning or end, non-zero periodic signals have infinite energy but generally have finite power.