1. Introduction to Digital Signal Processing and applications. Discrete-Time signals and systems.

2. Undrstand basic signal operations: Addition, multiplication, shifting etc. Up-sampling, down-sampling, and linear interpolation of sequences.

3. Perform linear convolution and correlation operations on 1-Dimensional and 2-Dimensional signals (images). Understand basic signal and image filtering operations.

4. Comprehend Discrete-Time Fourier transform (DTFT) and Discrete Fourier transform (DFT).

5. Develop understanding for the Fast Fourier Transform (FFT) algorithm, and the Inverse Fast Fourier Transform (IFFT) algorithm.

6. Understand the Z-Transform and Inverse Z-Transform. The use of Z-Transform in digital filter design.