Recent content by dunnoe
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Graduate Beat frequency- universal mathematical proof?
Thank you for the very satisfying response. Wow, i never though of it in term of Fourier series. I admit that I have a poor understanding on the definition of geometry back then. Yup, definitely got confused by the trigonometry identity.- dunnoe
- Post #7
- Forum: Electromagnetism
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Graduate Beat frequency- universal mathematical proof?
At first, I was skeptical that two periodic waves which are close in wavelength regardless of their shape will generate a beat frequency given only proof of the cosine-cosine case. Later, I toyed with MATLAB and plotted sine-sine, cosine-cosine & sine-squarewave graph which showed beat...- dunnoe
- Post #3
- Forum: Electromagnetism
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Graduate Beat frequency- universal mathematical proof?
It is easily derived from trigonometric identities that cos(2*pi*f1*t)+cos(2*pi*f2*t)=2cos(2*pi*(f2+f1)*t)*cos(2*pi*(abs(f2-f1)*t)) which proves that superposition of two cosine wave will generate a beat frequency, but what about about a universal proof that applies to any kind of...- dunnoe
- Thread
- Beat frequency Frequency Mathematical Mathematical proof Proof Universal
- Replies: 8
- Forum: Electromagnetism