# Frequencies

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#1
Hello there

I wonder if anyone might be able to advise me as to whether I've answered the following questions correctly?

i) Is the dotted wave more selective in terms of frequency?

Q factor of dotted wave = resonant frequency/frequency width

Resonant frequency = 1.34 (roughly)
Frequency width = 1.45 - 1.19 (values roughly taken by method in below image)

Q factor of dotted wave therefore = 1.34/(1.45-1.19) = 5.15

Q factor of solid wave = resonant frequency/frequency width

Resonant frequency = 1.1 (roughly)
Frequency width = 1.16 - 1.03 (values roughly taken by method in below image)

Q factor of solid wave = 1.1/(1.16-1.03) = 8.46

Solid wave therefore has the higher Q factor?

ii) Distinguishes 1.1 to 1.7? From the peak of the solid wave to the trough of the dotted wave?

iii) One signal can be decomposed to its constituent frequencies like in Fourier decomposition. Unlike Fourier decomposition, we cannot see the power (how much of that frequency is in the signal/how important each frequency is to the signal), only the amplitude. We can however use the amplitude to find the power of the constituent frequencies.

If anyone could advise me as to whether I've gone wrong with these I would be greatly appreciative.

Thank you very much
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