Digital signal processing ( DSP ) operations can be performed in either fixed point or floating point precision.
2.
Consequently, all processing performed on Intel-based hardware will be performed at 16-, 32-or 64-bit integer precision, or 32-or 64-bit floating point precision regardless of the source format.
3.
The reason is that very often the matrices Q and the vectors z tend to be " numerically sparse ", meaning that they have many entries with values smaller than the floating point precision, allowing for " numerical deflation ", i . e . breaking the problem into uncoupled subproblems.