Best Lag Window for Spectrum Estimation of Law Order MA Process

Table 10

MSE values of MA(2) spectrum estimation with size (n = 100).

Windows	Different values of parameters
	= 1	= −1	= 0.5	= −0.5	= 0.5	= 0.5	= 1	= −1.5
	= −1	= 1	= 0.5	= −0.5	= −0.5	= 1	= −0.5	= 1
Rectangular	6.321565024	6.321565024	6.360138264	6.316064139	6.327068304	6.361978011	6.332573978	6.317034709
Triangular	6.317117423	6.31777068	6.333128008	6.315160112	6.31939826	6.333007724	6.321457949	6.316118821
Hanning	6.324557448	6.324401497	6.382064674	6.316268444	6.332689354	6.385154783	6.340913819	6.317578586
Hamming	6.3188133	6.318956624	6.34002707	6.315876185	6.32190157	6.34072313	6.324910813	6.316534387
Blackman	6.313845839	6.314385509	6.304330089	6.315309193	6.312027333	6.301064093	6.310514309	6.315641361
Blackman–Harris	6.323731576	6.323627073	6.376027133	6.316180189	6.331031122	6.378416063	6.338483312	6.317427316
Flat top	6.322939163	6.322816414	6.369886183	6.316129535	6.32939882	6.371527219	6.336027589	6.317269995
Exponential	6.324861824	6.324570285	6.380687038	6.316526045	6.33277471	6.384549625	6.341098715	6.317662753
Gaussian	6.318063427	6.318296571	6.335634552	6.315744141	6.320580289	6.335698617	6.323003143	6.316391836
Welch(Riesz)	6.317425293	6.317763848	6.333879433	6.315526842	6.319839881	6.333353187	6.321746436	6.316253592
Cosine	6.321565024	6.321565024	6.360138264	6.316064139	6.327068304	6.361978011	6.332573978	6.317034709
Parzen	6.327015561	6.326095813	6.383062251	6.31761612	6.335030668	6.39084977	6.344262279	6.318203885
Bohman	6.317318887	6.317663081	6.33110916	6.315617866	6.319220643	6.33055528	6.321152307	6.316253023
Poisson	6.317049932	6.318023383	6.334833716	6.314767193	6.319506318	6.335092961	6.32198115	6.316019062
Hanning–Poisson	6.316388107	6.317432572	6.330017371	6.314701346	6.318221449	6.329926155	6.320154072	6.315904302
Cauchy	6.320811057	6.320866313	6.355186428	6.315977384	6.325731496	6.356628158	6.330567105	6.316894163
Bartlett–Hanning	6.323712379	6.323606229	6.376095466	6.316194872	6.331127061	6.378773405	6.338590688	6.317423083
Min-MSE	Blackman	Blackman	Blackman	Hanning–Poisson	Blackman	Blackman	Blackman	Blackman