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Joseph Yellow

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I'm having a bit of a hard time getting the gist of it. Right now I'm using the book "signals and systems" (oppenheim) because that's the one my teacher uses.

My problem is this: both the book and my teacher divide the subject into a lot of segments:

- Fourier series for discrete time periodic signals.
- Fourier series for continuous-time periodic signals.
- Fourier transform for discrete-time aperiodic signals.
- Inverse Fourier transform for discrete-time aperiodic signals.
- Fourier transform for continuous-time aperiodic signals.
- Inverse Fourier transform for continuous-time aperiodic signals.
- Fourier transform for discrete-time periodic signals.
- Inverse Fourier transform for discrete-time periodic signals.
- Fourier transform for continuous-time periodic signals.
- Inverse Fourier transform for continuous-time periodic signals.

My question is if need to remember every single little detail about each case or if there's something I'm not getting and there is a more intuitive/general way to think and solve problems involving any of the cases listed above.

If anyone has a good alternative resource (video/text) to Oppenheim's book I would be very glad to hear about it too.

Thanks in advance.