- #1
hastings
- 80
- 0
Hi everyone!
I'm not sure if I'm posting this question in the right section. Please don't be mad at me if I'm mistaken.
Can you please help me solve this problem?
Calculate the value of the signal x(t), given its spectrum (see figure in attachment), at the time t=2/W.
Attempted solution:
I don't know how to write the module |X(f)| and phase Φ(f) of X(f). I suppose X(f) should be written in polar form:
[tex]X(f)=|X(f)|e^{j\Phi} [/tex]
Maybe the module could be written like this:
[tex]|X(f)|=\frac{1}{16}f \mbox{ rect}_{4W}(f+4W) -\frac{1}{16}f \mbox{ rect}_{4W}(f-4W)[/tex]
The 4W appearing in subscript of the signal rect, indicates the duration of rect.
The [tex]\pm 4W [/tex] inside the round brackets, tells us that rect is centered in [tex] \pm 4W[/tex]
As to the PHASE, I don't have any idea on how to write it. Does it have anything to do with arctg (...)?
I'm not sure if I'm posting this question in the right section. Please don't be mad at me if I'm mistaken.
Can you please help me solve this problem?
Calculate the value of the signal x(t), given its spectrum (see figure in attachment), at the time t=2/W.
Attempted solution:
I don't know how to write the module |X(f)| and phase Φ(f) of X(f). I suppose X(f) should be written in polar form:
[tex]X(f)=|X(f)|e^{j\Phi} [/tex]
Maybe the module could be written like this:
[tex]|X(f)|=\frac{1}{16}f \mbox{ rect}_{4W}(f+4W) -\frac{1}{16}f \mbox{ rect}_{4W}(f-4W)[/tex]
The 4W appearing in subscript of the signal rect, indicates the duration of rect.
The [tex]\pm 4W [/tex] inside the round brackets, tells us that rect is centered in [tex] \pm 4W[/tex]
As to the PHASE, I don't have any idea on how to write it. Does it have anything to do with arctg (...)?