Fourier series (direct and inverse) to an audio signal

Hi everyone,

I need your help to accomplish two opposite operations:

1. To break an audio signal into some (say 20) frequency bins and get 20 output channels with DC current/voltage proportional to the amplitudes in the bins. The output signals are the Fourier coefficients of the input signal.

2. To do the opposite operation - take 20 DC channels representing certain frequencies and combine them to reconstruct an audio signal - sort of inverse Fourier series.

Both operations should be done simultaneously and in real time.
What is the simplest and most economic way to perform it?

Thanks

Likely using a digital signal processor (DSP).

crutschow said:

Likely using a digital signal processor (DSP).

Click to expand...

Thanks, DSP is an option I did not think of.
What about Spectrum Analyzer? Can it accomplish the job? Do Spectrum Analyzers usually support parallel I/O? Do they work fast enough for 20 simultaneous channels?

Don't know that any commercial spectrum analyzers will do that.

Sounds like you are trying to build some type of vocoder.