TABLE I.

Coefficients and rms error values for auditory filters with cascade and parallel architectures, fitted to the combined masking data of Baker et al. (1998) and Glasberg and Moore (2000). The first and second columns show the type of filter architecture and the total number of filter coefficients (not including nonfilter coefficients, K and P₀), respectively. Each filter parameter was represented either by a constant or by a linear regression line as a function of normalized ERB_N value, E_f. The central columns in the table show the filter coefficients on the left and the nonfilter coefficients on the right. The right-most column shows the rms error value for the fit in dB. In this table, “0” means that we set the corresponding value to zero.

Filter architecture	No. coeff	b 1	c 1	$f_{\text{rat}}^{\left(0\right)}$	$f_{\text{rat}}^{\left(1\right)}$	b 2	c 2	K (dB)	P0 (dB)	rms (dB)
Cascade cGC	12	1.85 +0.111Ef	−2.51 +0.03Ef	0.391 +0.15Ef	0.0124 −0.003Ef	2.01 −0.012Ef	1.85 +0.359Ef	−4.66 −2.74Ef $+8.22E_f^2$	17.3 −0.220Ef $+4.54E_f^2$	3.59
	7	1.85	−2.50	0.435	0.0115	2.11	1.86 +0.381Ef	−4.66 −2.75Ef $+8.22E_f^2$	17.3 −0.230Ef $+4.54E_f^2$	3.64
	6	1.81	−2.96	0.466	0.0109	2.17	2.20	−3.73 −4.89Ef $+8.30E_f^2$	16.8 −1.27Ef $+5.74E_f^2$	3.71
Filter architecture	No. coeff	t 1	tu	G max	$p_l^{\left(0\right)}$	$p_l^{\left(1\right)}$	$p_u^{\left(0\right)}$	$p_u^{\left(1\right)}$	K (dB)	P0 (dB)	rms (dB)
Parallel roex	14	10.9 −1.74Ef	67.9 +8.30Ef	35.4+17.1Ef	35.1 +9.69Ef	−0.186 −0.083Ef	36.5 −9.27Ef	−0.230 +0.044Ef	−1.89 −3.10Ef $+5.95E_f^2$	16.9 −2.76Ef $+4.95E_f^2$	3.58
	8	10.3	68.0	35.9+17.1Ef	36.4	−0.176	35.5	−0.250	−2.26 −1.16Ef $+6.63E_f^2$	16.9 −2.41Ef $+5.09E_f^2$	3.79
	6	12.6	153.5	25.4+3.44Ef	33.0	0	23.5	0	−1.38 −2.04Ef $+7.29E_f^2$	15.7 −1.23Ef $+4.89E_f^2$	4.15
Filter architecture	No. coeff	b 1	c 1	G max	$b_2^{\left(0\right)}$	$b_2^{\left(1\right)}$	$c_2^{\left(0\right)}$	$c_2^{\left(1\right)}$	K (dB)	P0 (dB)	rms (dB)
Parallel cGC	14	0.636 −0.002Ef	−8.54 −1.74Ef	38.7+26.0Ef	0.683 −0.266Ef	0.013 +0.010Ef	1.05 +1.04Ef	−0.028 −0.0001Ef	−1.55 −4.38Ef $+7.15E_f^2$	16.8 −2.75Ef $+6.15E_f^2$	3.53
	8	0.611	−9.02	36.9+24.0Ef	0.531	0.016	−2.67	0.061	−1.23 −1.97Ef $+6.87E_f^2$	17.2 −1.80Ef $+6.25E_f^2$	3.75
	6	0.394	−10.6	34.0+23.5Ef	1.15	0	−0.338	0	1.93 −1.37Ef $+7.20E_f^2$	16.0 −1.93Ef $+6.06E_f^2$	4.87