Week - 1 |
Discrete-Time Signal Processing |
Week - 2 |
Discrete-Time Signal Processing |
Week - 3 |
Linear Algebra Review, Vectors, Linear Independence, Matrices |
Week - 4 |
Linear Algebra Review, Linear Equations, Eigenvalues and Eigenvectors |
Week - 5 |
Discrete-Time Random Process; Random Variables; Ensemble Averages; Independent, Uncorrelated and Orthogonal Random Variables; Gaussian Random Variables |
Week - 6 |
Discrete-Time Random Process; Random Processes; Autocovariance and Autocorrelation Matrices; Ergodicity; Spectral Factorization; Special Types of Random Processes |
Week - 7 |
Signal Modeling; Pade Approximation; Prony's Method |
Week - 8 |
Signal Modeling: Pole-Zero Modeling; Shanks's Method; All-Pole Modeling |
Week - 9 |
Signal Modeling: Autocorrelation Methos, Covariance Method; Stochastic Models: Autoregressive Moving Average Models |
Week - 10 |
Signal Modeling: Stochastic Models: Autoregressive Models, Moving Average Models |
Week - 11 |
Levinson Recursion |
Week - 12 |
Spectrum Estimation: Nonparametric Methods, Periodogram, Modified Periodogram, Bartlett's Method |
Week - 13 |
Spectrum Estimation: Nonparametric Methods, Welch's Method, Parametric Methods, Autoregressive Spectrum Estimation, Moving Average Spectrum Estimation |
Week - 14 |
Frequency Estimation; Eigendecomposition of the Autocorrelation Matrix; Pisarenko Harmonic Decomposition; MUSIC |