For variable streaming fixed point FFTs, the bit growth algorithm is changed starting in the Quartus® II software version 11.0. For the new algorithm, the overall bit growth is less than or equal to Log2 (N) 1, where N is the length of the FFT. This new algorithm allows us to reduce the output bit width by removing the 2 unused MSBs in the frequency domain.
As an example, take a 1024 point FFT, with data precision width of 18 bits.
In version 10.1
Output bit width = data precision width 2.5 ×(log4(MAX(N)) = 31 bits
In version 11.0 and above
Output bit width = data precision width log2(N) 1 = 29 bits