(Solution) - The periodogram in the Bartlett method can be expressed as -(2025 Original AI-Free Solution)

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The periodogram in the Bartlett method can be expressed as
Where r(i)xx(m) is the estimated autocorrelation sequence obtained from the ith block of data. Show that P(i)xx(f) can be expressed as
P(i)xx(f) = E*t(f)R(i)xxE(f)
Where
E(f) = [1 ej2?f ej4?f . . . ej2?(m ? 1)f]t
And therefore,