General description
This course aims to introduce the basics of Digital Signal Processing using the
mathematical tools presented in previous courses. We review some of these
tools with additional new concepts to go more deeply in analyzing digital
systems. The concepts and characteristics of Fourier series and their
applications in discrete signals.
We present the basic digital networks used to implement discrete systems
including the various structures of FIR and IIR digital filters. The effect of
coefficients quantization and finite precision arithmetic on the performance of
LTI systems is also presented. We also present the main methods used in
digital filters design. A special interest is given to the interpretation of the DFT
of sinusoidal signals to understand the limits of this tool in spectral analysis.
We conclude by introducing the discrete cosine transform which is used in
many applications as in JPEG image compression.