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From this point on it is assumed that any problem amenable to solution with the aid of the Discrete Fourier Transform (or DFT) will in fact be treated computationally with a fast routine (or FFT), and that the data sets are of length N = 2n, unless noted otherwise. The DFT pair will be written
In this formulation, Y0 represents the average value of the data, the so-called DC term. In addition, |Yn|2 represents the contribution that frequencies near n/N make to total data variance.
(Note: Some FFT routines require that the data first be made complex.)
Experiment with some versions of the FFT available to you, first using a digitised sinusoid as input. Then attempt to duplicate the figure below, comment on variance normalisation.
I need to write a program which employs delaunay triangulation method
You are working as an engineer on a project that involved being able to accurately measure the fluid level change in a large outdoor holding tank. The fluid level rises and falls a
Prove that the Lagrangian coef?cient polynomials for p n (x) satisfy ∑ n k=0 l k (x) = 1. Hint: It is only a 3-line proof. Consider the interpolating polynomial for a constan
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As with the first order system, there is a general differential equation that governs the response of a second order system. The equation is of the form: Where: So
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Compute the (real and imaginary parts of the) principal value of the eighth root of (a + ib) to 3 decimal places (accurate to 10 -3 ). Call the real part "m 7 ", and the imagina
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Use the simplex method to solve the following LP Problem. Max Z = 107x1+x2+2x3 Subject to 14x1+x2-6x3+3x4=7 16x1+x2-6x3 3x1-x2-x3 x1,x2,x3,x4 >=0
A new gantry crane for a metal fabrication shop is to be designed. The designer has proposed the following two different configurations: A. Using only truss elements B. Using the
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