what type of function, algorithm, formula, do i need to get/see the individual sinusoids

what type of function, algorithm, formula, do i need to get the individual sinusoids components of a complex wave, visually over time like a FFT spectrum analyzer, but the individual overlayed sinusoids over time like an occiliscope view, but with all the individual sinusoids displayed at the same time...like Mark huckvales E-synth ( E-Synth, here is an example of displaying sinusoids from Simulink sine wave blocks(4 of them), through a vector concatenate block and analyzing the signal at the end with logic analyzer app.. but it does not seem to do the same component display with a audio file or an in put from the audio device reader block. thanks for any help...peace hope love

[Abhi Sundararaman]

Looking at the attached files, it looks like there are indeed multiple sinusoids on the same plot at the same time. Can you explain more specifically what you are looking for? The attached E-Synth example just seems to say that it can create signals as the sum of sinusoids, and decompose them.

I believe both of these can be done in Simulink. If you want to do a sum of sinusoids, you can simply add the signals using a sum block. If you want to analyze a signal for its sinusoidal components, I believe analyzing the power spectrum to find the what frequencies lie inside would be the best option.

[Brent Cartwright]

Mr. Abhi, I get a very strange reading when i do the same thing with an audio file/live capture (say a cello "A", for analysis), the sim example i attached is generated sinusoids from simulink blocks. Im trying to get the same result from an audio file or input signal. the logic analyzer seems to compute what its being sent differently that way for some reason, and I'm thinking I've got to configure the analyzer in some fashion to deal with the input from those sources/types of input (say a cello timbre at "A"). Or some other FFT function that can deconstruct the signal and display its sinusoidal content in the time domain, as seen on the analyzer pic (it also gives a drop down option to view all the sinusoids separately on the analyzer). i send the content to the workspace for any Plot analysis with the available plot options and the Signal analyzer app, which do a great job of deconstructing in the frequency domain, but i want to deconstruct the signal in the time domain, does that clear the issue/objectives ? Im not sure i know how to convert the power spectrum into this type of deconstruction for visual analysis... The E-synth, if you download it does a primitive version of this for analysis of overall "most" important harmonic content. Any help, direction would be most appreciated... Thank you sir for your time and effort in assisting me...

[Brent Cartwright]

The model i used... just open, open logic analyzer, and select run on analyzer...