Statistical Spectrum and Frequency Estimation Examples

Some important classical (non-parametric) and modern (parametric) statistical spectrum and frequency estimation algorithms are demonstrated, reproducing the examples from chapter 8 of M. Hayes book. Namely, the following Methods are exposed:
A) Non-parametric Methods.
i) The Periodogram.
ii) Barlett's Method: Periodogram Averaging.
iii) Welch's Method: Averaging Modified Periodograms.
iv) Blackman-Tukey Method: Periodogram Smoothing.
B) Parametric Methods.
i) The Autocorrelation Method.
ii) The Covariance Method.
iii) The Modified Covariance Method.
iv) The Burg Algorithm.

C) Frequency Estimation.
i) Pisarenko Harmonic Decomposition (PHD).
ii) Multiple Signal Classification (MUSIC).
iii) The Eigenvector Method.
iv) The Minimum Norm Algorithm.