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This course serves as an introduction to the theory and practice behind many of today's communications systems. 6.450 forms the first of a two-course sequence on digital communication. The second class, 6.451, is offered in the spring. Topics covered include: digital communications at the block diagram level, data compression, Lempel-Ziv algorithm, scalar and vector quantization, sampling and aliasing, the Nyquist criterion, PAM and QAM m...more
Scheme Memory Model - How Scheme Instructions Synthesize Linked Lists Behind the Scenes and Perform Operations on Them, Two Different Ways of Laying Out A List In Memory, One With Memory Aliasing and One Without, The Scheme Equivalent of "..." (Functions With Multiple Arguments), Writing A Generic Map Function, Modifying the Unary-Map Function to Handle Multiple Arguments By Adding A . to the List of Arguments, Extending Unary-Map to An N-...more
Degrees of freedom, orthonormal expansions, and aliasing
Aliasing Demonstration With Music, Transition To Discrete! The DFT, The Plan For Transitioning To Discrete Time, Creating A Discrete Signal From F(T) Creating A Discrete Version Of The Fourier Transform Of The Sampled Version Of F(T), Summary Of What We Just Did, Summary Of Results (Formulas), Moving From Continuous To Discrete Variables, Final Result: The DFT
Review Of Sampling And Interpolation Results, Terminology: Sampling Rate, Nyquist Rate, Issues With The Interpolation Formula In Practical Applications, Aliasing And Interpolation, Main Argument In Aliasing, Example Of Aliasing: Cosine