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.