Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781119031703
Author: FIGLIOLA
Publisher: WILEY
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Textbook Question
Chapter 2, Problem 2.30P
Represent the function e(t) = 5 sin 31 At + 2 sin 44r as a discrete set of N = 128 numbers separated by a time increment of (UN). Use an appropriate algorithm to construct an amplitude spectrum from this data set. (Hint: A spreadsheet program or the program file DataSpect will handle this task.)
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1) Consider the baseband pulse
x(1) = n(2)
= 11
a) Derive the complex ambiguity function for x(t) and compare your result with the one
obtained in class.
b) Use MATLAB to compute the complex ambiguity function and compare it to part (a).
c) Now, consider the pulse
x(t) = sinc(Bt)
i) Derive the complex ambiguity function for x(t) and compare to the ambiguity function
of the rect pulse. Make your observations.
ii) Plot the ambiguity function using the mesh function and using the contour function.
iii) Use MATLAB to compute the complex ambiguity function and compare it to part (ii).
Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that reveals all the important aspects of the function. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.)
f(x, y) = 9 sin(x) sin(y), −? < x < ?, −? < y < ?
local maximum value(s)
local minimum value(s)
saddle point(s)
(x, y)
=
Let C be the line segment joining A(-1,1, -2)
to 0(0,0,0). A parameterization of C is given
by *
O x=-t,y=t,z=-2t, Osts1
O x=-t+1,y=t+1,z=-2t-2, Osts1
O x=-t-1,y=t+1,z=-2t-2, Osts1
x=t-1,y=-t+1,z=2t-2, Osts1
None of these
Chapter 2 Solutions
Theory and Design for Mechanical Measurements
Ch. 2 - Prob. 2.1PCh. 2 - Prob. 2.2PCh. 2 - Research and describe the importance of...Ch. 2 - Research and describe the importance of data...Ch. 2 - Determine the average and rms values for the func...Ch. 2 - Prob. 2.6PCh. 2 - Prob. 2.9PCh. 2 - Prob. 2.10PCh. 2 - Prob. 2.11PCh. 2 - Prob. 2.12P
Ch. 2 - Express the function y(t) = 4 sin 2xt + 15 cos...Ch. 2 - Prob. 2.14PCh. 2 - The Fourier series that formed the result for...Ch. 2 - The nth partial sum of a Fourier series is defined...Ch. 2 - For the Fourier series given by where t is time in...Ch. 2 - Determine the Fourier series for the function y(t)...Ch. 2 - Show that y(t) = f2(—jc < t < k), y(t + 2k) = y(t)...Ch. 2 - Find the Fourier series of the function shown in...Ch. 2 - Determine the Fourier series for the function y(t)...Ch. 2 - Determine the Fourier series that represents the...Ch. 2 - Consider the triangle wave shown in Figure 2.26 as...Ch. 2 - Prob. 2.24PCh. 2 - A particle executes linear harmonic motion around...Ch. 2 - Define the following characteristics of signals:...Ch. 2 - Construct an amplitude spectrum plot for the...Ch. 2 - Prob. 2.28PCh. 2 - Sketch representative waveforms of the following...Ch. 2 - Represent the function e(t) = 5 sin 31 At + 2 sin...Ch. 2 - Repeat Problem 2.30 using a data set of 256 num...Ch. 2 - A particular strain sensor is mounted to an...Ch. 2 - Prob. 2.33PCh. 2 - Prob. 2.34PCh. 2 - Consider the upward flow of water and air in a...Ch. 2 - Prob. 2.37PCh. 2 - Prob. 2.38PCh. 2 - For the even-functioned triangle wave signal...Ch. 2 - Prob. 2.40P
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