Spectrum

Plotting the spectrum of a continuous sinusoid function

Plotting the spectrum of a continuous sinusoid function
  1. What will you see in spectrum of a sinusoidal?
  2. How do you find the spectrum of a sine wave?
  3. How do you plot a signal spectrum?

What will you see in spectrum of a sinusoidal?

These sinusoidal components have different frequencies, different amplitudes, and different phases. Therefore, the plots of frequency versus amplitude and phase for the sinusoidal components which comprise the signal are called the Frequency Spectrum or Spectrum of the signal.

How do you find the spectrum of a sine wave?

Frequency spectrum of a signal is the range of frequencies contained by a signal. For example, a square wave is shown in Fig. 3.5A. It can be represented by a series of sine waves, S(t) = 4A/π sin(2πft) + 4A/3π sin(2π(3f)t) + 4A/5π sin(2π(5f)t + …)

How do you plot a signal spectrum?

Use fft to compute the discrete Fourier transform of the signal. y = fft(x); Plot the power spectrum as a function of frequency. While noise disguises a signal's frequency components in time-based space, the Fourier transform reveals them as spikes in power.

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