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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

Description:

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.

Signal Processing 101

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#Engineering #Electrical Engineering #Signal Processing #Mathematics #Trigonometry #Fourier Series #Fourier Transform #Mathematical Analysis #Laplace Transform

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