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An experiment conducted over time T necessarily produces a windowed view of the phenomenon generating the data. It is a useful strategy to regard the windowed data as one period of a periodic function. Then one may write
and seek to calculate the Fourier coefficients cn from the integral expression
Large values of cn will be regarded as a quantitative indication of a genuine periodic change in the phenomenon under study. In digital form the relevant equations are
The time interval [0,T] has been marked out in equal steps T/N, and frequency fn = n/T has been replaced by the dimensionless quantity n/N.
The P.D. at the feeder end of a two wire d.c. distributor is 600 volts. Two loads are connected to the distributor at distances of 600 feet and 1000 feet from the feeder end and t
Draw parallel lines with slope +1.05; one passes through (0,a), and the other passes through (0,b). Suppose φ is a harmonic function between the two lines, with φ = 0 on the line t
Verify how long $400 must be left to store at 12 % p.a. compounded monthly for it to amount to triple the soted value of another $400 deposited at the similar time at 8.8% p.a. com
An open-loop control system has the following state-space model: (a) Find characteristic equation of the open-loop control system model. (b) What is the characteristic e
a.) Give a short sequence of machine instructions for the task " Add the contents of memory location A to those of memory location B, and place the answer in location C ". You have
prove that A=3i+j-2k, B=-i+3j+4k ,C=4i-2j-6k and find the length of the triangle
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
(i) Test for the existence of regression (the F-test). Carefully dene the null and alternative hypothesis, and explain the result of any R output you obtain. (ii) Which of the
i have a wav file which consists of a number of hammer impact noises. i want to break up each impact into and individual wav file. i want to ignore the first 40ms of the impact and
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