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Which DSP to choose

Other Parts Discussed in Thread: CD4067B

I am currently a senior, working on my senior design project.

I need to pick a DSP developmental board/starter kit.

The application is  a "real time" spectral analyzer for 20-30 analog channels. I  have to analyze a signal, and find certain magnitudes at certain frequencies. Add a few up, and subtract from the largest magnitude present in the signal.

The signals are actually linear sums of sinusoidal signals , so a FFT seems the most intuitive route.

I understand I'm not going to find a DSP that has 20-30 ADCs on it. 

So my idea was to have the DSP use only 1 ADC and multiplex the input and outputs. (using something like the CD4067B)

Output DeMuxing is also an issue as the outputs must be buffered until that specific channel gets updated again. (If that makes sense).

I would use a separate micro controller to control the address bits to ensure the proper switching was happening on the Muxs. 

Since this is "real time" spectral analyzing, I wanted to pick the fastest floating point DSP possible (for high precision computations).

I was initially looking at the TMS320C6713 DSP Starter Kit, however I am totally open to suggestions!

This project is basically  a black box with 30 analog signals coming in, and 30 signals (type unknown right now, possibly PWM) coming out.

I hope I explained this well enough, forgive me if I left out important information, This is my first time posting on E2E.

This black box will have its outputs sampled at NO FASTER than 1kHz (output refresh rate>1kHz)

Thanks!