lect_12 - Numerical Marine Hydrodynamics Fourier...

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Numerical Marine Hydrodynamics • Fourier Approximation – Continuous Fourier Series – Discrete Fourier Series – Trigonometric Polynomials – Frequency and Time Domains • Fourier Transform • Discrete Fourier Transform • Fast Fourier Transforms Numerical Marine Hydrodynamics Lecture 12 2.29
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Periodic Functions Monomials Periodic Functions Trigonometric Functions Periodic Functions 2 π Periodic Functions Numerical Marine Hydrodynamics Lecture 12 2.29
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Continuous Fourier Series Fourier Series Approximation Orthogonality Relations Expansion Coefficients Trigonometric Expansions Numerical Marine Hydrodynamics Lecture 12 2.29
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Continuous Fourier Series Example Numerical Marine Hydrodynamics Lecture 12 2.29
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Discrete Fourier Series Trigonometric Polynomials Minimize Normal Equation Orthogonality Numerical Marine Hydrodynamics Lecture 12 2.29
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Discrete Fourier Series General Case M>1 Solution M=1 Numerical Marine Hydrodynamics Lecture 12 2.29
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Discrete Fourier Series Trigonometric Polynomial Expansion
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This note was uploaded on 02/27/2012 for the course MECHANICAL 2.29 taught by Professor Henrikschmidt during the Spring '07 term at MIT.

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lect_12 - Numerical Marine Hydrodynamics Fourier...

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