Week 1: Introduction to discrete-time sequences, operations on the independent variable, elementary signals: unit step.
Week 2: Elementary signals: Dirac delta, exponential, similarities and differences between CT and DT sinusoids.
Week 3: Introduction to systems and their properties, LTI systems, convolution.
Week 4: Definition of the z-transform, region of convergence, simple examples, DTFT as a special case of the z-transform.
Week 5: Properties of the z-transform.
Week 6: Inverse z-transform.
Week 7: Sequences having DTFT but no z-transform.
Week 8: Response to suddenly applied inputs, response to A cos(ω0n+θ).
Week 9: Frequency Response of LTI systems with rational transfer function, magnitude response.
Week 10: Phase Response.
Week 11: Sampling.
Week 12: Discrete Fourier Transform.
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