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Lecture
Fourier Transforms: Dirac Delta, Fourier Integral, and Transform
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Fourier Transform: Compression and Analysis
Covers the Fourier transform, compression techniques, and spectral analysis of periodic signals.
Fourier Transform: Motivating Formula
Covers the motivation behind the Fourier transform formula, explaining the process step by step.
Convolution: Effect of Main Lobe
Explains the effect of convolving any spectrum by the Fourier transform of a rectangular window.
Spectrogram Analysis: Psychoacoustic Foundations & Signal Processing
Explores spectrogram analysis, including DFT, STFT, and CQT, for tasks like music transcription and onset detection.
Fourier and Laplace Transforms: Concepts and Applications
Provides an overview of Fourier and Laplace transforms, their properties, and applications in signal analysis.
Wave Patterns and Spectral Analysis
Explores wave patterns, Fourier transforms, group velocity, and Gaussian spectra in hydrodynamics.
Fourier Transform: Inversion Formula
Explores the Fourier Transform inversion formula and its applications in signal processing.
Sampling and Reconstruction Theory
Covers the concepts of analog, discrete, and digital signals, sampling times, frequencies, and pulses.
Fourier Transform: Derivatives and Formulas
Explores Fourier transform properties with derivatives, crucial for solving equations, and introduces the Laplace transform for signal transformation.
Signals, Instruments, and Systems
Explores signals, instruments, and systems, covering ADC, Fourier Transform, sampling, signal reconstruction, aliasing, and anti-alias filters.
