Subspace Identification of Hammerstein Model with Unified Discontinuous Nonlinearity

Table 3

Parameters estimation for the Hammerstein model with SNR = 10, 8, and 5 dB.

SNR		Parameters for the nonlinear model				Denominator		Numerator		MSE
	Without noise	True	2.0000	0.5000	1.5000	−1.0000	−0.2000	0.3500	1.0000		0.5000	4.10^−6
		2.0000	0.5000	1.5000	−1.0000	−0.2000	0.3500	0.9998	0.5001
		0.0001	0.0001	0.0001	0.0001	0.0001	0.0000	0.0001	0.0001
10 dB	True	2.0000	0.5000	1.5000	−1.0000	−0.2000	0.3500	1.0000	0.5000	0.0129
		2.0125	0.4955	1.4884	−0.9971	−0.2039	0.3468	0.9844	0.4939
		0.0149	0.0169	0.0154	0.0218	0.0067	0.0041	0.0248	0.0149
8 dB	True	2.0000	0.5000	1.5000	−1.0000	−0.2000	0.3500	1.0000	0.5000	0.0263
		1.9881	0.4925	1.4877	−0.9964	−0.1964	0.3455	1.0198	0.5081
		0.0127	0.0304	0.0275	0.0278	0.0246	0.0213	0.0354	0.0358
5 dB	True	2.0000	0.5000	1.5000	−1.0000	−0.2000	0.3500	1.0000	0.5000	0.0396
		2.0776	0.4824	1.4724	−0.9270	−0.2232	0.3328	0.9686	0.5198
		0.0144	0.0731	0.0308	0.0205	0.0455	0.0458	0.0153	0.0215