The Finite Fast Fourier Transform (FFT), X(w;) = En Xte-it of a partial realization {at}o of a stationary time series is displayed in Table 2. Table 2: The FFT of a partial realization {x} of a stationary time series j 1 2 0 X(w;) 0C 4.4 3 0.2 + 0.6i

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The Finite Fast Fourier Transform (FFT), X(w;) = En Xte-it of a partial realization {at} of
a stationary time series is displayed in Table 2.
t=0
Table 2: The FFT of a partial realization {at}o of a stationary time series
j
0
1 2
3
X (w;) 0
C 4.4 0.2 +0.6i
(a) Supply the missing entry corresponding to C.
(b) Find the mean and variance of the series.
(c) Calculate the periodogram I(w;).
Transcribed Image Text:The Finite Fast Fourier Transform (FFT), X(w;) = En Xte-it of a partial realization {at} of a stationary time series is displayed in Table 2. t=0 Table 2: The FFT of a partial realization {at}o of a stationary time series j 0 1 2 3 X (w;) 0 C 4.4 0.2 +0.6i (a) Supply the missing entry corresponding to C. (b) Find the mean and variance of the series. (c) Calculate the periodogram I(w;).
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