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OMAP L138 - FFT computation

We intend to perform 4 x 1024-point FFTs every 1 msec.  And this speed should be sustained for 2000 such iterations.  
Which means:
 
four FFTs each of 1024 point in 1 msec
8000 FFTs each of 1024 point in 2 seconds
 
Will  the DSP core attached to the L138 CPU can achieve this performance in a predictable way? 

 

Regards

Amit