-3
$\begingroup$

I have a communication signal. spectrum for a communication signal

Its bandwidth is limited. But does the $X(f)$ value is important? For example, I have $X(f)=6.10^3$ but for an other signal I have $X(f)=10^6$ (the channel is the same for the 2 signals).

$\endgroup$
  • 1
    $\begingroup$ Look up Parseval's theorem. $\endgroup$ – MBaz Jan 14 '19 at 21:01
  • $\begingroup$ X(f) = constant contradicts the plot you're showing. $\endgroup$ – Marcus Müller Jan 14 '19 at 23:17
2
$\begingroup$

$X$ is not constant, as shown in the plot. But if you are asking about two signals with the same bandwidth but different magnitudes of Fourier transform, then it simply means they carry different amounts of energy, where energy is given by:

$$E = \int_{-\infty}^{+\infty} |X(f)|^2 d f,$$ which for a bandlimited signal has the cutoff frequencies as the lower and upper bounds for the integral.

| improve this answer | |
$\endgroup$

Not the answer you're looking for? Browse other questions tagged or ask your own question.