Fourier Series: Sinusoidal Functions and Coefficients

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Explores Fourier series, DFT, FFT, and their applications in signal processing and spectroscopy.

Explains the basics of Fourier transform and demonstrates its application through examples, including periodic functions and Fourier Transform Pairs.

Explores Fourier transforms, including properties, convolution, Parseval's theorem, and energy spectral density for non-periodic functions.

Explains the simplification of exponential terms to sinusoidal functions for Fourier transform.

Explores the vector representation of signals, orthogonal functions, and Fourier series.

Covers Fourier coefficients, periodic functions, Fourier transform, and convolution product applications in signal processing.

Covers the concepts of analog, discrete, and digital signals, sampling times, frequencies, and pulses.

Offers a recap of Fourier Analysis, focusing on key concepts and formulas.

Explores signals, instruments, and systems, covering ADC, Fourier Transform, sampling, signal reconstruction, aliasing, and anti-alias filters.

Explores periodic and non-periodic rectangular and triangular signals, along with 'b-spline' functions and their properties.