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MIT 6.300
Signal Processing
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Section 1: Fourier Analysis
Lecture 1: Fourier Series
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Lecture: Pitch vs. Timbre
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Lecture: Fourier Series
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Recitation: Computing Fourier Series
Lecture 2: Sinusoids and Series
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Lecture: Convergence
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Lecture: Transforming Fourier Series
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Recitation: Symmetry in Fourier Series
Lecture 3: Complex Fourier Series
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Lecture: Complex Fourier Series
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Recitation: Complex Fourier Series
Lecture 4: Sampling, Aliasing, and DT Signals
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Lecture: Sampling and Aliasing
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Lecture: Quantization
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Recitation: The Sampling Theorem
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Recitation: Dimensional Analysis
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Recitation: Periods of DT Signals
Lecture 5: DT Fourier Series
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Lecture: DT Fourier Series
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Lecture: Pitch Perception
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Recitation: Computing DT Fourier Series
Lecture 6: CT Fourier Transform
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Lecture: Motivating the CT Fourier Transform
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Lecture: The CT Fourier Transform
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Lecture and Recitation: Properties of the CT Fourier Transform
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Lecture: The Dirac Delta Function
Lecture 7: DT Fourier Transform
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Lecture: The DT Fourier Transform
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Lecture and Recitation: Properties of the DT Fourier Transform
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Section 2: Systems and Convolution
Lecture 8: Systems
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Lecture and Recitation: Systems
Lecture 9: Unit-Sample Response and Convolution
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Lecture and Recitation: Unit-Sample Response and Convolution
Lecture 10: Frequency Response and Filtering
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Lecture: Frequency Response
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Lecture: LTIs by Frequency Response
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Recitation: Filter Types
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Lecture: Identifying Filters
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Lecture: Frequency Response for CT Signals
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Recitation: Cascaded Systems
Lecture 11: Communication Systems
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Lecture: Wireless Communication (is Hard)
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Lecture: Amplitude Modulation
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Lecture: Synchronous Demodulation
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Lecture: Multiple Transmitters
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Lecture: Amplitude Modulation with Carrier
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Recitation: Implementing Band-Pass Filters (BPFs)
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Recitation: DSB-AM vs. SSB-SC
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Section 3: The Discrete Fourier Transform
Lecture 12: Discrete Fourier Transform I
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Lecture: Discrete Fourier Transform
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Lecture: DFT vs. DTFT and Windows
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Recitation: Spectral Analysis (Interpreting the DFT)
Lecture 13: Discrete Fourier Transform II
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Lecture: Frequency Resolution
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Lecture and Recitation: Circular Convolution
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Recitation: Impulse Trains
Lecture 14: Fast Fourier Transform
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Recitation: DFT = Polynomial Sampling
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Lecture: The FFT Algorithm
Lecture 15: Short-Time Fourier Transform
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Lecture: Updated DFT Conventions
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Lecture: Spectrograms
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Lecture: Streaming Windows
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Lecture: Short-Time Filter Design
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Recitation: Windows and Decibels
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Recitation: Short-Time Fourier Transform
Lecture 16: Speech
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Lecture: Speech as a System
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Lecture: Vowels and Formants
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Section 4: The 2D Fourier Transform
Lecture 17: 2D Fourier Transform I
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Lecture: 2D Fourier Series
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Lecture: 2D Fourier Transform
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Recitation and Lecture: 2D DFT Algebraic Properties
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Lecture: 2D DFT Visual Properties
Lecture 18: 2D Fourier Transform II
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Lecture: Rotation
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Lecture: Phase
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Lecture and Recitation: Convolution and Filtering