Best Lag Window for Spectrum Estimation of Law Order MA Process

Table 9

MSE values of MA(2) spectrum estimation with size (n = 10).

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	6.316064139	6.361978011	6.332573978	6.317034709
Triangular	6.312005203	6.316707374	6.341600802	6.308265322	6.308265322	6.343799682	6.319994439	6.313156769
Hanning	6.329331965	6.323962003	6.378387396	6.321932771	6.321932771	6.379542556	6.343610193	6.318259519
Hamming	6.314426416	6.319360693	6.343378579	6.310669467	6.310669467	6.345847113	6.322433753	6.31590812
Blackman	6.29540239	6.314673225	6.326490025	6.293526586	6.293526586	6.329993335	6.302467223	6.309973629
Blackman–Harris	6.326158188	6.323331333	6.375330581	6.319121344	6.319121344	6.376639217	6.340221321	6.317448053
Flat top	6.323428374	6.323339845	6.370649079	6.317007048	6.317007048	6.371981296	6.336830045	6.31758825
Exponential	6.327426077	6.324458741	6.373850374	6.320445609	6.320445609	6.375765692	6.341101042	6.319028806
Gaussian	6.31279587	6.318682021	6.341512875	6.309263029	6.309263029	6.343876486	6.320566376	6.315181164
Welch(Riesz)	6.313917191	6.317934726	6.341881423	6.310367315	6.310367315	6.343773555	6.321380659	6.314643892
Cosine	6.321565024	6.321565024	6.360138264	6.316064139	6.316064139	6.361978011	6.332573978	6.317034709
Parzen	6.323495637	6.326494597	6.362753447	6.317361895	6.317361895	6.36755149	6.335711083	6.322006755
Bohman	6.310834358	6.31799328	6.33935597	6.307546938	6.307546938	6.341615062	6.31841308	6.314405216
Poisson	6.311294317	6.31569628	6.343823934	6.307123183	6.307123183	6.346107879	6.320193056	6.311748163
Hanning–Poisson	6.309034828	6.314967826	6.34063026	6.30517467	6.30517467	6.343068984	6.317560801	6.311049725
Cauchy	6.320072257	6.320909745	6.356521406	6.314953792	6.314953792	6.358409071	6.330385723	6.316629309
Bartlett–Hanning	6.327290745	6.323273715	6.373709134	6.320385895	6.320385895	6.374995983	6.340729357	6.317872708
Min-MSE	Blackman	Blackman	Blackman	Blackman	Blackman	Blackman	Blackman	Blackman