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6.003 Signals and Systems

6.003 Signals and Systems (Fall 2011, MIT OCW). This consists of 25 video lectures given by Professor Dennis Freeman. This course covers the fundamentals of signal and system analysis, focusing on representations of discrete-time and continuous-time signals (singularity functions, complex exponentials and geometrics, Fourier representations, Laplace and Z transforms, sampling) and representations of linear, time-invariant systems (difference and differential equations, block diagrams, system functions, poles and zeros, convolution, impulse and step responses, frequency responses). Applications are drawn broadly from engineering and physics, including feedback and control, communications, and signal processing. (from ocw.mit.edu)

Lecture 14 - Fourier Representations

In the next half of the course, periodic functions are represented as sums of harmonic functions, via Fourier decomposition. Linear time-invariant systems amplify and phase-shift these inputs to produce filtered output, an important new concept.


Go to the Course Home or watch other lectures:

Lecture 01 - Signals and Systems
Lecture 02 - Discrete-Time (DT) Systems
Lecture 03 - Feedback, Poles, and Fundamental Modes
Lecture 04 - Continuous-Time (CT) Systems
Lecture 05 - Z Transform
Lecture 06 - Laplace Transform
Lecture 07 - Discrete Approximation of Continuous-Time Systems
Lecture 08 - Convolution
Lecture 09 - Frequency Response
Lecture 10 - Feedback and Control
Lecture 11 - Continuous-Time (CT) Frequency Response and Bode Plot
Lecture 12 - Continuous-Time (CT) Feedback and Control, Part 1
Lecture 13 - Continuous-Time (CT) Feedback and Control, Part 2
Lecture 14 - Fourier Representations
Lecture 15 - Fourier Series
Lecture 16 - Fourier Transform
Lecture 17 - Discrete-Time (DT) Frequency Representations
Lecture 18 - Discrete-Time (DT) Fourier Representations
Lecture 19 - Relations Among Fourier Representations
Lecture 20 - Applications of Fourier Transforms
Lecture 21 - Sampling
Lecture 22 - Sampling and Quantization
Lecture 23 - Modulation, Part 1
Lecture 24 - Modulation, Part 2
Lecture 25 - Audio CD