**1.1** Differentiate between various types of discrete-time (DT) systems and sequences.

**1.2** Characterize and utilize eigenproperty of DT linear time-invariant (LTI) systems.

**1.3** Compute convolution for DT LTI systems.

**1.4** Determine the impulse response of a DT LTI system represented by an LCCDE.

**2.1** Determine the discrete-time Fourier Transform (DTFT) of a sequence.

**2.2** Represent a periodic sequence through discrete Fourier series (DFS).

**2.3** Characterize the relation of Discrete Fourier Transform (DFT) to DFS and DTFT.

**2.4** Compare z-transform with DTFT and explain region of convergence.

**2.5** Compute (linear) convolution by using DFT.

**2.6** Compute DFT in a computationally efficient manner

**3.1** Describe the mathematical model of sampling and reconstruction, indicating the frequency behavior and its limits.

**3.2** Analyze a signal processing system that contains sampling and reconstruction stages.

**3.3** Construct rate-conversion systems to reach a desired rate and frequency response.

**3.4** Describe practical issues in sampling & reconstruction

**4.1** Determine the frequency response (magnitude and phase) of DT systems from its poles and zeros.

**4.2** Characterize the properties of minimum-phase, all-pass and linear phase systems.

**5.1** Apply filter design techniques based on a set of constraints on frequency response

**5.2** Construct different representations of the same DT system.