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Jun 11, 2015 at 20:15 comment added John Alexiou Wow, you were really lucky because it worked with your test function, but it failed with my test function.
Jun 11, 2015 at 20:11 comment added John Alexiou I added a test function in the post so you can check your results.
Jun 11, 2015 at 20:09 history edited RowanS CC BY-SA 3.0
added 190 characters in body
Jun 11, 2015 at 20:05 comment added RowanS Let us continue this discussion in chat.
Jun 11, 2015 at 20:05 comment added RowanS You have plotted incorrectly please double check.
Jun 11, 2015 at 20:05 comment added John Alexiou I did plot and it is not correct. Please check your work before posting an answer.
Jun 11, 2015 at 20:04 comment added RowanS What I have stated is correct. Plot it and you will see it's exactly what you want.
Jun 11, 2015 at 20:03 comment added John Alexiou Based on what you stated a possible candinate is $$X_1+X_2 \cos((\omega_1-\omega_2) t+\varphi_1-\varphi_2) $$
Jun 11, 2015 at 20:01 comment added John Alexiou Getting closer, but the envelope angular frequency is $\omega_1-\omega_2$ or half of that.
Jun 11, 2015 at 19:56 review Low quality posts
Jun 11, 2015 at 20:10
Jun 11, 2015 at 19:55 comment added RowanS $ envelope(t) =X_1+ X_2 \sin(\omega_2 t+\varphi_2) $ is the function you want then. Which satisfies the equations you wrote. You didn't say which sine wave was bigger
Jun 11, 2015 at 19:47 comment added John Alexiou Nope, that is not it. The envelope function shouldn't cross zero. It should vary between $X_1+X_2$ and $|X_1-X_2|$
Jun 11, 2015 at 19:39 history answered RowanS CC BY-SA 3.0