2poleTemporal.xlsx

	A	B	C	H
1	TEMPORAL RESPONSE			Some typical filter paramters
2	2-pole lowpass filter transfer function H(s) = g / (s^2 + p*s + g)			g=1, p=2 : critically damped
3	See	https://www.nablu.com/2009/08/all-pole-iir-filters.html		g=1, p=sqrt(2) : Butterworth
4				g=3, p=3 : Bessel
5		INPUTS:
6	g	3
7	p	3
8	3dB cutoff freq	0.02
9
10	Calculations assume sample freq = 1
11	correction c	0.7344008871
12	digital cutoff w_0	0.04617654705
13
14	coefficients: a0	0.005587101623
15	a1	0.01117420325
16	a2	0.005587101623
17	b1	1.735662879
18	b2	-0.7580112858
19
20	time unit	Input	Output
21	0	0	0
22	1	0	0
23	2	0	0
24	3	0	0
25	4	0	0
26	5	0	0
27	6	0	0
28	7	0	0
29	8	0	0
30	9	0	0
31	10	0	0
32	11	0	0
33	12	0	0
34	13	0	0
35	14	0	0
36	15	0	0
37	16	0	0
38	17	0	0
39	18	0	0
40	19	0	0
41	20	0	0
42	21	0	0
43	22	0	0
44	23	0	0
45	24	0	0
46	25	0	0
47	26	0	0
48	27	0	0
49	28	0	0
50	29	0	0
51	30	1	0.005587101623
52	31	1	0.02645862976
53	32	1	0.06403658192
54	33	1	0.1134383847
55	34	1	0.1706987481
56	35	1	0.2326363112
57	36	1	0.2967350388
58	37	1	0.3610394489
59	38	1	0.4240626676
60	39	1	0.4847062603
61	40	1	0.5421907819
62	41	1	0.5959960045
63	42	1	0.645809816
64	43	1	0.6914848336
65	44	1	0.7330018347
66	45	1	0.7704391736
67	46	1	0.8039474177
68	47	1	0.8337285077
69	48	1	0.8600188129
70	49	1	0.8830755174
71	50	1	0.9031658355
72	51	1	0.9205586127
73	52	1	0.9355179224
74	53	1	0.9482983198
75	54	1	0.9591414553
76	55	1	0.9682737978
77	56	1	0.9759052466
78	57	1	0.9822284502
79	58	1	0.9874186757
80	59	1	0.9916340978
81	60	1	0.9950163999
82	61	1	0.9976915986
83	62	1	0.9997710184
84	63	1	1.00135236
85	64	1	1.002520811
86	65	1	1.003350174
87	66	1	1.00390397
88	67	1	1.004236505
89	68	1	1.004393892
90	69	1	1.004414997
91	70	1	1.004332326
92	71	1	1.00417284
93	72	1	1.003958692
94	73	1	1.003707894
95	74	1	1.003434921
96	75	1	1.00315124
97	76	1	1.002865781
98	77	1	1.002585354
99	78	1	1.002315009
100	79	1	1.002058348