Digital Signal Processing Chapter 7: Parametric Spectrum Estimation

7.8 Examples for Parametric Spectrum Estimation• testing with synthetic signalssystem for simulationof the Burg analysis:example 1:recursive synthesis filter:poles: z ∞1,2 = ±j0, 95z ∞3,4 = 0, 97 e ±jπ/4a) N = 50; ˆn = n = 4b) N = 150; ˆn = n = 4c) N = 150; ˆn = n − 2 = 2d) N = 150; ˆn = n + 2 = 6Ŝ xx (e jΩ )/dB →Ŝ xx (e jΩ )/dB →a) N=50, ˆn=4302520151050-5-10-15-200 0.2 0.4 0.6 0.8 1c) N=150, --- Ω/π ˆn=2, → -⋅- ˆn=3302520151050-5-10-15-200 0.2 0.4 0.6 0.8 1Ω/π →Ŝ xx (e jΩ )/dB →Ŝ xx (e jΩ )/dB →b) N=150, ˆn=4302520151050-5-10-15-200 0.2 0.4 0.6 0.8 1d) N=150, Ω/π →ˆn=6302520151050-5-10-15-200 0.2 0.4 0.6 0.8 1Ω/π →Examples Page 36