Power Spectral Density and Total Power Calculation for Signal

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I am currently working on analyzing a signal with the autocorrelation function given by:

R(τ) = 100 * cos( 10000 * τ*pi) .* (Λ(2000τ))^2

I need assistance in plotting the power spectral density Gf​(ω) of this signal. Additionally, I am interested in calculating the total power of the signal and specifically determining its power within the frequency range of 10kHz≤∣ω∣≤12kHz.

Could someone please provide guidance on how to approach this problem or share some code snippets in MATLAB/Python that could help me achieve these objectives?

Thank you in advance for your support!

I have attempted to implement the calculation of the power spectral density and total power using the given autocorrelation function in MATLAB/Python. Specifically, I've looked into functions like fft, pwelch, and related signal processing tools.

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