Discrete Fourier Transform: Unlimited Duration Signals

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Frequency Estimation: Deterministic Signals with Low Noise Level

Explores frequency estimation in deterministic signals using the DFT and spectral resolution.

Frequency Estimation in Deterministic Case (Low Noise)

Covers frequency estimation in deterministic signals using DFT and signal processing.

Signal Representations

Covers the properties of signal/data representations using Fourier transformations and matrices.

Fourier Transform Interpretation and Reciprocity Theorem

Explores the interpretation of Fourier transform and its application in signal modification.

Discrete Fourier series: Inherent periodicities and time shifts

Explores the Discrete Fourier Transform synthesis and analysis formulas, time shifts for finite-length signals, and the equivalence between DFS and DFT.

Signal Processing: Sampling and Reconstruction

Covers the concepts of quantization, coding, and sampling in signal processing.

Fourier Series and Transforms: Introduction and Properties

Covers Fourier series, Fourier transforms, and convolution properties, including linearity and commutativity.

Convolution: Effect of Main Lobe

Explains the effect of convolving any spectrum by the Fourier transform of a rectangular window.

Signals, Instruments, and Systems

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

Fundamental Notions - I

Explores fundamental notions in image and video processing, covering applications and key concepts like color quantization and 2D Fourier Transform properties.