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Amplitude spectrum is calculated using the Fourier Transform. It represents how the power is spread in the frequency domain. It allows for determining the signal bandwidth. Power Spectral Density or PSD correspond to the average magnitude of the Amplitude spectrum.
 
Amplitude spectrum is calculated using the Fourier Transform. It represents how the power is spread in the frequency domain. It allows for determining the signal bandwidth. Power Spectral Density or PSD correspond to the average magnitude of the Amplitude spectrum.
  
In this section we summarize some properties of the phase arg''{X(f)}'' and magnitude |''X(f)''|. We first consider properties for continuous signal. Then we will investigate additional properties of sampled signal (those used in GNURadio).
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In this section we summarize some properties of the phase arg''{X(f)}'' and magnitude |''X(f))''|. We first consider properties for continuous signal. Then we will investigate additional properties of sampled signal (those used in GNURadio).
  
Given a signal ''x(t)'' it amplitude/phase spectrum is denoted ''X(f)'' which is a complex function given by :  
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Given a signal ''x(t)"" it amplitude/phase spectrum is denoted ''X(f))'' which is a complex function given by :  
 
: <math>X(f) =\int{x(t)e^{-2j\pi ft}}dt</math>
 
: <math>X(f) =\int{x(t)e^{-2j\pi ft}}dt</math>
  

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