The Fourier Transforms and Its Applications
by Brad Osgood
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Description
The goals for the course are to gain a facility with using the Fourier transform, both specific techniques and general principles, and learning to recognize when, why, and how it is used. Together with a great variety, the subject also has a great coherence, and the hope is students come to appreciate both. Topics include: The Fourier transform as a tool for solving physical problems. Fourier series, the Fourier transform of continuous and discrete signals and its properties. The Dirac delta, distributions, and generalized transforms. Convolutions and correlations and applications; probability distributions, sampling theory, filters, and analysis of linear systems. The discrete Fourier transform and the FFT algorithm. Multidimensional Fourier transform and use in imaging. Further applications to optics, crystallography. Emphasis is on relating the theoretical principles to solving practical engineering and science problems.
| Name | Description | Released | Price | ||
|---|---|---|---|---|---|
| 1 | Video1. Fourier Transforms Lecture 1 | Electrical, engineering, computers, math, physics, geometry, algebra, technology, functions, applications, coding theory, signal processing, fourier series, fourier transformation, analysis, synthesis, linear operations, symmetry, frequency, velocity | 7/22/08 | Free | View In iTunes |
| 2 | Video2. Fourier Transforms Lecture 2 | Electrical, engineering, computers, math, physics, geometry, algebra, technology, functions, linear operations, Fourier transformations, periodicity, symmetry, sin, cosin, phenomenon, signals, periods | 7/22/08 | Free | View In iTunes |
| 3 | Video3. Fourier Transforms Lecture 3 | Electrical, engineering, computers, math, physics, geometry, algebra, technology, functions, linear operations, Fourier transformations, coefficients, cosin, sin, convergence, signal processing, continuos case, convergence of energy, finite energy | 7/22/08 | Free | View In iTunes |
| 4 | Video4. Fourier Transforms Lecture 4 | Electrical, engineering, computers, math, physics, geometry, algebra, calculus, technology, functions, linear operations, Fourier transformations, coefficients, cos, sin, infinite sum, integrability, vector addition, application, heat fl | 7/22/08 | Free | View In iTunes |
| 5 | Video5. Fourier Transforms Lecture 5 | Electrical, engineering, computers, math, physics, geometry, algebra, calculus, technology, functions, linear operations, Fourier transformations, periods, heat flow, Fourier series, convolution, non periodic, phenomena | 7/22/08 | Free | View In iTunes |
| 6 | Video6. Fourier Transforms Lecture 6 | Electrical, engineering, computers, math, physics, geometry, algebra, calculus, technology, functions, linear operations, Fourier transformations, Fourier series, coefficient, limiting case, periodize, constituent parts, Fourie inversion, synthesis, sinc | 7/22/08 | Free | View In iTunes |
| 7 | Video7. Fourier Transforms Lecture 7 | Electrical, engineering, computers, math, physics, geometry, algebra, calculus, technology, functions, linear operations, Fourier transformations, Fourier series, coefficient, inverse, the spectrum, signals, gaussian | 7/22/08 | Free | View In iTunes |
| 8 | Video8. Fourier Transforms Lecture 8 | Electrical, engineering, computers, math, physics, geometry, algebra, calculus, technology, functions, linear operations, Fourier transformations, Fourier series, delays, stretches, convolutions, shifted, interpretations, corresponding, phase shifts, sign | 7/22/08 | Free | View In iTunes |
| 9 | Video9. Fourier Transforms Lecture 9 | Electrical, engineering, computers, math, physics, geometry, algebra, calculus, technology, functions, linear operations, Fourier transformations, Fourier series, convolution, signal combinations, multiplying signals, turbidity, clarity of water, frequenc | 7/22/08 | Free | View In iTunes |
| 10 | Video10. Fourier Transforms Lecture 10 | Lecture by Professor Brad Osgood for the Electrical Engineering course, The Fourier Transforms and its Applications (EE 261). Professor Osgood introduces the final operation of convolution to the central limit theorem. | 7/22/08 | Free | View In iTunes |
| 11 | Video11. Fourier Transforms Lecture 11 | Electrical, engineering, computers, math, physics, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, central limit theorem, repeated convolutions, random variables, CLT, convergence | 7/22/08 | Free | View In iTunes |
| 12 | Video12. Fourier Transforms Lecture 12 | Electrical, engineering, computers, math, physics, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, rapidly decreasing functions, decays, power of x, derivative, rapidly decreasing | 7/22/08 | Free | View In iTunes |
| 13 | Video13. Fourier Transforms Lecture 13 | Electrical, engineering, computers, math, physics, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, distribution, test functions, signals, rapidly decreasing functions, generalized | 7/22/08 | Free | View In iTunes |
| 14 | Video14. Fourier Transforms Lecture 14 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, delta functions, distributions, applications, derivate, multiplying, c | 7/22/08 | Free | View In iTunes |
| 15 | Video15. Fourier Transforms Lecture 15 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, deltas, diffraction, interference, light, source plane, apertures, ape | 7/22/08 | Free | View In iTunes |
| 16 | Video16. Fourier Transforms Lecture 16 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, diffraction, sampling, interpolation, crystal gazing, diffraction, ape | 7/22/08 | Free | View In iTunes |
| 17 | Video17. Fourier Transforms Lecture 17 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, delta functions, impulse train, sampling property, periodicity propert | 7/22/08 | Free | View In iTunes |
| 18 | Video18. Fourier Transforms Lecture 18 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, sampling formula, sampling proof, interpolation, band limit, periodize | 7/22/08 | Free | View In iTunes |
| 19 | Video19. Fourier Transforms Lecture 19 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, spinning fan, under sample music, digital, bandwidth, music, discrete | 7/22/08 | Free | View In iTunes |
| 20 | Video20. Fourier Transforms Lecture 20 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, analogs, DFT, discrete, signal sampling, continuous case, vector, freq | 7/22/08 | Free | View In iTunes |
| 21 | Video21. Fourier Transforms Lecture 21 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, DFT, discrete Fourier transforms, complex exponentials, analogs, discr | 7/22/08 | Free | View In iTunes |
| 22 | Video22. Fourier Transforms Lecture 22 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, algorithm, discrete Fourier, convolution, DFT, FFT, n*n matrix, simple | 7/22/08 | Free | View In iTunes |
| 23 | Video23. Fourier Transforms Lecture 23 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, linear systems, impulse response, transfer function, complex exponenti | 7/22/08 | Free | View In iTunes |
| 24 | Video24. Fourier Transforms Lecture 24 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, linear systems, linear system structures, continuous case, discrete ca | 7/22/08 | Free | View In iTunes |
| 25 | Video25. Fourier Transforms Lecture 25 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, LTI, linear systems, impulse response, time in variant, convolution, c | 7/22/08 | Free | View In iTunes |
| 26 | Video26. Fourier Transforms Lecture 26 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, higher dimensional, multiple variables, space, signal processing, anal | 7/22/08 | Free | View In iTunes |
| 27 | Video27. Fourier Transforms Lecture 27 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, higher dimensional, one dimensional, spacial variable, frequency varia | 7/22/08 | Free | View In iTunes |
| 28 | Video28. Fourier Transforms Lecture 28 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, higher dimensional, one dimensions, two dimensions, time domain, shift | 7/22/08 | Free | View In iTunes |
| 29 | Video29. Fourier Transforms Lecture 29 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, stretch theorem, medical imaging, lattices, crystallography, inverse t | 7/22/08 | Free | View In iTunes |
| 30 | Video30. Fourier Transforms Lecture 30 | Electrical, engineering, computers, math, physics, formulas, geometry, algebra, calculus, technology, functions, linear operations, sin, cosin, Fourier transformations, Fourier series, tomography, inverting, radon transform, medical imaging, circular symm | 7/22/08 | Free | View In iTunes |
| Total: 30 Episodes |
Customer Reviews
Amazing!
Simply one of the best approaches to the Fourier Transform I've ever seen. Professor Brad Osgood can make this course really interesting despite the deep math approach there can be sometimes.
Pretty amazing
This profession drain me into the subject!! Wow!
