SQNR Estimation of Fixed-Point DSP Algorithms

EURASIP Journal on Advances in Signal Processing

Table 1 Fast quantization noise estimation approaches.

Approach	Type	Cyclic complexity	Parameterization complexity	Estimation complexity	Accuracy	Comments
Constantinides et al. [6]	LTI	YES		-dot product	High	Steady state
López et al. [11]	LTI	YES		+ -dot product	High	Affine arithmetic steady state
Menard [16]	LTI	YES		-dot product	High	Graph analysis steady state
Constantinides [12]	NL	YES		-dot product	Variance overestimated	Differentiable operations 1st order approx.
Menard [13] and Rocher et al. [17]	NL	NO		-dot product + matrix-vector mult.	High	Differentiable operations 1st order approx.
Shi and Brodersen [14]	NL	YES	-coeff. curve-fitting	-dot product + matrix-vector mult.	High	Differentiable operations 1st order approx.
This work (Section 4.3)	LTI	YES		-dot product	High	Affine arithmetic Steady state
This work (Section 4.2)	NL	YES	Acycilic:	dot product + matrix-vector mult.	High	Affine arithmetic Differentiable op. 1-order approx.
			cycilic: It depends on of loops and stimuli size