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enter image description here

The above problem was asked in my class test. I understand that this waveform has a hidden symmetry.

x(t) = Square wave with p-p A + (A/10)

So, I can write fourier series expansion for it. As square wave contains odd half wave symmetry, so only odd harmonics of sin are present.

x(t) = sum[(2A/npi)sinnwt] + (A/10)

I am stuck here. How can I draw amplitude and phase spectrum from here?

A plot will be really helpful to understand.

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  • \$\begingroup\$ Is it truly a 50% duty square wave - it doesn't look that way how it has been drawn. \$\endgroup\$ – Andy aka Jan 30 '18 at 11:56
  • \$\begingroup\$ T/2 and T is labelled in the diagram. \$\endgroup\$ – Nikhil Kashyap Jan 30 '18 at 12:02
  • \$\begingroup\$ Then what is this hidden symmetry that you mention. Think about what I'm saying. \$\endgroup\$ – Andy aka Jan 30 '18 at 12:17
  • \$\begingroup\$ hidden symmetry refers to square wave with dc offset. My instructor used a special name for such waveforms in class. \$\endgroup\$ – Nikhil Kashyap Jan 30 '18 at 13:01
  • \$\begingroup\$ is that graph to scale, or is that middle crossing at T/2 ? \$\endgroup\$ – Jasen Jan 30 '18 at 19:37

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