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1
from scipy import signal
2
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x = [0.49, 0.58, 0.49, 0.29, 0.1, -0.19, -0.35, -0.39, -0.29, -0.15, 0.2,

4
     0.49, 0.68, 0.83, 0.78, 0.59, 0.29, -0.1, -0.43, -0.79, -0.92, -0.93,

5
     -0.73, -0.44, -0.05, 0.24, 0.59, 0.63, 0.64, 0.39, 0.05, -0.25, -0.58,

6
     -0.78, -0.79, -0.68, -0.39, -0.05, 0.29, 0.59, 0.68, 0.74, 0.58, 0.34,

7
     0.0, -0.24, -0.49, -0.58, -0.54, -0.34, -0.05, 0.29, 0.49, 0.63, 0.64,

8
     0.44, 0.14, -0.29, -0.58, -0.93, -1.03, -0.97, -0.69, -0.39, 0.05, 0.49,

9
     0.73, 0.88, 0.88, 0.68, 0.34, -0.04, -0.4, -0.58, -0.73, -0.64, -0.44,

10
     -0.14, 0.24, 0.44, 0.68, 0.64, 0.58, 0.3, 0.05, -0.3, -0.53, -0.59,

11
     -0.59, -0.34, -0.14, 0.19, 0.39, 0.49, 0.49, 0.34, 0.05, -0.29, -0.59,

12
     -0.78, -0.88, -0.78, -0.49, -0.15, 0.3, 0.63, 0.88, 1.03, 0.97, 0.73,

13
     0.44, 0.05, -0.29, -0.49, -0.58, -0.49, -0.3, 0.0, 0.3, 0.53, 0.64, 0.58,

14
     0.4, 0.14, -0.24, -0.59, -0.83, -0.97, -0.98, -0.88, -0.54, -0.29, -0.05,

15
     0.1, 0.1, -0.1, -0.34, -0.74, -1.12, -1.41, -1.47, -1.51, -1.22, -0.88,

16
     -0.44, 0.0, 0.34, 0.49, 0.58, 0.39, 0.2, -0.15, -0.44, -0.58, -0.64,

17
     -0.53, -0.25, 0.05, 0.44, 0.73, 0.88, 0.88, 0.68, 0.49, 0.1, -0.2, -0.39,

18
     -0.48, -0.44, -0.2, 0.15, 0.49, 0.83, 1.02, 0.98, 0.97, 0.74, 0.39, 0.05,

19
     -0.25, -0.39, -0.44, -0.29, -0.05, 0.24, 0.49, 0.64, 0.68, 0.54, 0.24,

20
     -0.24, -0.64, -0.97, -1.22, -1.18, -1.12, -0.83, -0.39, 0.05, 0.39, 0.63,

21
     0.74, 0.73, 0.49, 0.34, 0.1, -0.05, -0.15, 0.0, 0.2, 0.44, 0.78, 0.97,

22
     1.13, 1.12, 0.98, 0.73, 0.44, 0.15, -0.05, -0.05, 0.05, 0.39, 0.73, 1.12,

23
     1.47, 1.61, 1.61, 1.42, 1.12, 0.63, 0.15, -0.24, -0.49, -0.59, -0.49,

24
     -0.24, 0.1, 0.39, 0.58, 0.69, 0.58, 0.25, -0.1, -0.54, -0.92, -1.27,

25
     -1.37, -1.37, -1.12, -0.88, -0.54, -0.24, -0.1, 0.0, -0.15, -0.39, -0.68,

26
     -0.98, -1.17, -1.22, -1.17, -0.88, -0.49, -0.05, 0.3, 0.58, 0.73, 0.69,

27
     0.44, 0.09, -0.29, -0.68, -0.83, -0.98, -0.88, -0.63, -0.3, 0.05, 0.35,

28
     0.48, 0.54, 0.44, 0.24, -0.04, -0.25, -0.44, -0.49, -0.39, -0.14, 0.14,

29
     0.49, 0.83, 0.93, 0.98, 0.83, 0.53, 0.15, -0.2, -0.53, -0.59, -0.58,

30
     -0.4, -0.04, 0.24, 0.59, 0.73, 0.78, 0.63, 0.25, -0.2, -0.68, -1.07,

31
     -1.42, -1.47, -1.46, -1.22, -0.93, -0.63, -0.35, -0.19, -0.15, -0.29,

32
     -0.49, -0.73, -0.88, -1.03, -0.92, -0.74, -0.43, 0.0, 0.43, 0.69, 0.93,

33
     0.92, 0.78, 0.49, 0.05, -0.24, -0.59, -0.73, -0.68, -0.54, -0.25, 0.1,

34
     0.44, 0.64, 0.78, 0.63, 0.44, 0.1, -0.24, -0.59, -0.68, -0.74, -0.48,

35
     -0.25, 0.15, 0.58, 0.83, 0.98, 0.98, 0.83, 0.58, 0.2, -0.15, -0.44,

36
     -0.58, -0.54, -0.39, -0.1, 0.15, 0.44, 0.53, 0.54, 0.29, 0.05, -0.34,

37
     -0.73, -0.98, -1.02, -1.03, -0.73, -0.39, 0.0, 0.39, 0.68, 0.78, 0.78,

38
     0.49, 0.2, -0.2, -0.49, -0.73, -0.73, -0.63, -0.35, 0.05, 0.34, 0.64,

39
     0.83, 0.73, 0.59, 0.34, 0.0, -0.25, -0.43, -0.54, -0.39, -0.15, 0.2,

40
     0.53, 0.83, 0.98, 0.98, 0.88, 0.58, 0.29, -0.04, -0.35, -0.39, -0.34,

41
     -0.14, 0.19, 0.49, 0.78, 1.03, 1.12, 0.98, 0.68, 0.39, -0.05, -0.29,

42
     -0.49, -0.49, -0.39, -0.05, 0.25, 0.58, 0.83, 0.88, 0.83, 0.59, 0.24,

43
     -0.1, -0.49, -0.73, -0.83, -0.83, -0.58, -0.35, 0.0, 0.3, 0.39, 0.44,

44
     0.29, 0.0, -0.34, -0.68, -0.93, -1.03, -0.97, -0.69, -0.39, 0.0, 0.34,

45
     0.59, 0.68, 0.64, 0.44, 0.14, -0.24, -0.44, -0.64, -0.58, -0.34, -0.1,

46
     0.34, 0.64, 0.97, 1.13, 0.97, 0.78, 0.39, -0.04, -0.4, -0.68, -0.83,

47
     -0.73, -0.54, -0.15, 0.15, 0.49, 0.63, 0.64, 0.54, 0.24, -0.15, -0.48,

48
     -0.79, -0.92, -0.98, -0.78, -0.54, -0.24, -0.05, 0.19, 0.25, 0.14, -0.09,

49
     -0.44, -0.83, -1.03, -1.22, -1.22, -1.02, -0.69, -0.29, 0.05, 0.39, 0.49,

50
     0.53, 0.35, 0.09, -0.19, -0.44, -0.69, -0.68, -0.63, -0.35, -0.04, 0.29,

51
     0.58, 0.79, 0.78, 0.63, 0.29, -0.04, -0.35, -0.63, -0.73, -0.69, -0.39,

52
     -0.09, 0.24, 0.63, 0.83, 0.93, 0.83, 0.59, 0.29, -0.1, -0.34, -0.54,

53
     -0.58, -0.44, -0.2, 0.15, 0.39, 0.64, 0.68, 0.63, 0.44, 0.1, -0.24,

54
     -0.49, -0.73, -0.69, -0.53, -0.25, 0.2, 0.63, 0.98, 1.22, 1.22, 1.07,

55
     0.69, 0.39, -0.05, -0.34, -0.49, -0.44, -0.34, -0.05, 0.24, 0.54, 0.83,

56
     0.83, 0.73, 0.49, 0.1, -0.2, -0.53, -0.64, -0.68, -0.59, -0.24, 0.05,

57
     0.34, 0.63, 0.74, 0.73, 0.54, 0.29, 0.05, -0.3, -0.44, -0.53, -0.49,

58
     -0.29, 0.0, 0.19, 0.49, 0.54, 0.49, 0.34, 0.0, -0.34, -0.64, -0.88,

59
     -0.93, -0.78, -0.58, -0.2, 0.2, 0.53, 0.74, 0.83, 0.78, 0.53, 0.25,

60
     -0.15, -0.44, -0.58, -0.64, -0.49, -0.24, 0.05, 0.39, 0.63, 0.69, 0.63,

61
     0.39, 0.15, -0.24, -0.49, -0.74, -0.78, -0.73, -0.44, -0.19, 0.04, 0.2,

62
     0.39, 0.34, 0.15, -0.15, -0.49, -0.73, -1.02, -1.08, -0.97, -0.69, -0.29,

63
     0.1, 0.53, 0.78, 0.98, 0.88, 0.73, 0.39, 0.05, -0.29, -0.44, -0.44,

64
     -0.39, -0.1, 0.15, 0.44, 0.58, 0.64, 0.58, 0.4, 0.09, -0.19, -0.49,

65
     -0.54, -0.63, -0.49, -0.2, 0.25, 0.58, 0.83, 1.08, 1.02, 0.79, 0.43, 0.0,

66
     -0.39, -0.73, -0.93, -0.92, -0.64, -0.39, 0.0, 0.39, 0.54, 0.68, 0.59,

67
     0.34, 0.05, -0.34, -0.69, -0.83, -0.78, -0.73, -0.44, -0.15, 0.2, 0.49,

68
     0.58, 0.54, 0.34, 0.1, -0.2, -0.39, -0.58, -0.59, -0.49, -0.19, 0.1,

69
     0.39, 0.58, 0.69, 0.58, 0.39, 0.1, -0.24, -0.59, -0.68, -0.83, -0.69,

70
     -0.39, -0.1, 0.3, 0.58, 0.74, 0.78, 0.53, 0.25, -0.1, -0.49, -0.83,

71
     -1.07, -1.03, -0.88, -0.58, -0.2, 0.1, 0.44, 0.54, 0.58, 0.34, 0.1,

72
     -0.19, -0.49, -0.69, -0.78, -0.63, -0.44, -0.15, 0.2, 0.49, 0.53, 0.54,

73
     0.39, 0.05, -0.29, -0.59, -0.78, -0.83, -0.63, -0.4, 0.05, 0.44, 0.88,

74
     1.12, 1.23, 1.17, 0.97, 0.64, 0.29, 0.0, -0.14, -0.15, 0.0, 0.29, 0.59,

75
     0.93, 1.22]

76
77
f, Pxx = signal.periodogram(x, 5, nfft=512)

78
print ['%.4f' % xx for xx in Pxx[0:10]]

79
# the output will be:

80-
# ['0.0000', '0.0105', '0.5567', '0.8369', '0.3156', '0.4476', '0.0380', '0.4475', '3.1456', '1.0430']
80+
# ['0.0000', '0.0105', '0.5567', '0.8369', '0.3156', '0.4476', '0.0380', '0.4475', '3.1456', '1.0430']

81
#
        

    


            


                                


        

            



                
    

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