Howtosignalprocessing
- How do you add two sine waves with different frequencies?
- How do you mix two sine waves?
- How do you add two sine equations?
How do you add two sine waves with different frequencies?
You can't add two sines of different frequencies. This is a fundamental limit which much of math and physics takes advantage of. Its also the basis of the fourier transform. To put it simply, sines of different frequencies are orthogonal.
How do you mix two sine waves?
If you simply add two sine waves together, it's a linear operation and you do not get mixing. So you would see only the 27.000 and 27.001 MHz components. If you want to get the sum or difference frequencies, you have to "mix" them in a non-linear device, like a diode or a switching transistor.
How do you add two sine equations?
cosφ = sinφ tanφ= ( E20 sin δ Eθ0 )(E10 + E20 cosδ E20 sin δ ) = E10 + E20 cosδ Eθ0 , which completes the derivation. As a check, consider the case of equal amplitudes, E10 = E20 ≡ E0. Then, using the above results, Eθ0 = √2E0(1 + cosδ) . (1 + cosδ), we end up with: Eθ0 = 2E0| cos(δ/2)| .
