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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.
a^n * n *u[n-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
Determine the missing entries in the following divided difference table and use the result to estimate f(1/2).
. The Government of Uganda wants to locate a refinery plant that will annually receive crude oil from two wells in Bunyoro region, F1 and F2. The refinery plant will process the cr
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This is a pen and paper exercise, you are expected to provide a detailed derivation. Follow the procedure outlined in the lectures for construction of a simple averaging by thr
A manager has determined the cost C, in dollars, for manufacturing is C(q) =85log 10 (10+q/2) for manufacturing, where q is the number of units produced in a given day. (a
procedure of tracing a closed loop
what are median,mode,aveage,mode
integral dx/root of sinx using beta and gamma functions
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