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This is the shape of the bipolar amplitude function for a FIR filter with odd m:

enter image description here

I have 2 questions :

  1. If i want to use this FIR as a low pass filter between 0 and $\frac{F_{c}}{2}$ , how can i set the value of $G(f)$ to 0 between $\frac{F_{c}}{2}$ and $F_{c}$ ?

  2. My prof said that i can use the this FIR as a lowpass between 0 and $\frac{F_{c}}{2}$, but if i want to use the filter between $\frac{F_{c}}{2}$ and $F_{c}$ does it still behave as a lowpass ? (what does it mean that in that range $G(f)$ takes negative values ? )

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  • $\begingroup$ this isn't even a low pass between 0 and $F_c/2$, even if it was a good idea to zero-force the rest, so I'm not even sure where this is coming from or going to. $\endgroup$ – Marcus Müller Jan 14 at 8:54
  • $\begingroup$ also, a how did you determine this $G(f)$? this doesn't look like it was done with the tools you could apply to a discrete-time system like your FIR filter probably is. $\endgroup$ – Marcus Müller Jan 14 at 8:56
  • $\begingroup$ It's on a slide did by my prof. You can watch it here ibb.co/4FYxvVL $\endgroup$ – themagiciant95 Jan 14 at 10:10
  • $\begingroup$ The figure on the slide looks different from the one in your question. $\endgroup$ – Matt L. Jan 14 at 10:15
  • $\begingroup$ I'm sorry wrong slide, ibb.co/YjjdW3T $\endgroup$ – themagiciant95 Jan 14 at 10:23

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