Digital Signal Processing

Tutorials on the theory and application of digital signal processing.

Understand the fundamentals of sampling continuous signals and the importance of the sampling rate.

Learn about aliasing, a common artifact in digital signal processing, and how to avoid it using the Nyquist theorem.

Explore the Discrete Fourier Transform (DFT) and its role in analyzing the frequency content of discrete signals.

Learn how windowing functions can help mitigate spectral leakage in the DFT.

Explore various windowing functions and their impact on the frequency spectrum of a signal.

Understand scalloping loss, the reduction in signal amplitude observed in the DFT when a signal's frequency falls between two bins.

Learn how zero-padding can be used to interpolate the DFT spectrum and improve frequency resolution.

Discover how the DFT provides processing gain, improving the signal-to-noise ratio for detecting signals in noise.

Understand the mathematical operation of convolution and its importance in linear time-invariant (LTI) systems.

Learn about partitioned convolution techniques, such as overlap-add and overlap-save, for processing long signals with short filters.

Explore the design and implementation of MIMO (Multiple-Input, Multiple-Output) filters in signal processing.