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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.
Answer the following set of simultaneous equations using elimination or substitution method. a) x-y +z= 10 b) 3x+y+2z=34 c) -5x+2y-z=-14
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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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X(z)=1/(1-a(z^-1))
At 8am particle A is at point (0,0) and moves horizontally to the right with constant velocity of 60km/hr. At the same time particle B is at the point (0, A+B+C+5) and moves horiz
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