Signal Processing 101

Embark on an 8-hour comprehensive journey through the fundamentals of signal processing. Begin with a crash course on complex numbers before diving into time domain concepts, exploring signal representation, transformations, properties, and elementary signals. Progress to system properties, LTI systems, impulse response, and convolution. Transition to the frequency domain, mastering Fourier series, filtering, Gibbs phenomenon, and Fourier transform. Delve into frequency spectra, response, modulation, equalization, and sampling theory. Conclude with an in-depth exploration of the Laplace domain, covering Laplace transform, Region of Convergence, transfer functions, and system properties. Gain a solid foundation in signal processing principles through this comprehensive tutorial series.

Course Introduction (Signal Processing 101).
crash course on complex numbers.
Time domain - tutorial 1: what is signal processing?.
Time domain - tutorial 2: signal representation.
Time domain - tutorial 3: signal transformations.
Time domain - tutorial 4: transformation examples.
Time domain - tutorial 5: signal properties.
Time domain - tutorial 6: elementary signals.
Time domain - tutorial 7: system properties.
Time domain - tutorial 8: LTI systems, impulse response & convolution.
Time domain - tutorial 9: convolution examples.
Time domain - tutorial 10: interconnection of LTI systems.
Time domain - tutorial 11: system properties from impulse response.
Frequency domain – tutorial 1: concept of frequency (with Chinese subtitle).
Frequency domain – tutorial 2: Fourier series.
Frequency domain – tutorial 3: filtering (periodic signals).
Frequency domain – tutorial 4: Gibbs phenomenon.
Frequency domain – tutorial 5: Fourier transform.
Frequency domain – tutorial 6: Fourier transform tables.
Frequency domain – tutorial 7: Fourier transform examples marathon.
Frequency domain – tutorial 8: frequency spectra.
Frequency domain – tutorial 9: frequency response.
Frequency domain – tutorial 10: modulation.
Frequency domain – tutorial 11: equalization.
Frequency domain – tutorial 12: FT of periodic signals.
Frequency domain – tutorial 13: sampling (theory of everything in signal processing).
Laplace domain – tutorial 1: Laplace transform.
Laplace domain – tutorial 2: Region of Convergence (ROC).
Laplace domain – tutorial 3: Laplace transform tables.
Laplace domain – tutorial 4: Laplace transform examples.
Laplace domain – tutorial 5: Inverse Laplace transform.
Laplace domain – tutorial 6: Transfer function & system properties.