EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 19, Problem 5P
Use a continuous Fourier series to approximate the wave form in Fig. P19.5. Plot the first three terms along with the summation.
FIGURE P19.5
A triangular wave.
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From the graph shown below, determine the approximate values of t,, tr, tw and amplitude.
t;: rise time, t;: fall time, tw: pulse width time
V (V)
4
2
1
t(ms)
012 3 4 5 6 789 10 11 12 13 14 15 16 17 18
In this exercise we show that in the general case, exact recovery of a linear compression scheme is impossible. a. Let A ∈ Rn,d be anarbitrary compression matrix where n ≤ d−1. Show that there exists u,v ∈ Rd,u= v, such that Au = Av. Hint: Show that there exists u= 0,v = 0 such that Au = Av = 0. Hint: Consider using the rank-nullity theorem.
b. Conclude that exact recovery of a linear compression scheme is impossible.
From the graph shown below, determine the approximate values of t, tr, tw and amplitude.
t;: rise time, t;: fall time, tw: pulse width time
V(V)
4
3
t (ms)
0 12 34 5 6 7 8 9 10 11 12 13 14 15 16 17 18
2.
Chapter 19 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 19 - The average values of a function can be determined...Ch. 19 - The solar radiation for Tucson, Arizona, has been...Ch. 19 - 19.3 The pH in a reactor varies sinusoidally over...Ch. 19 - 19.4 Use a continuous Fourier series to...Ch. 19 - 19.5 Use a continuous Fourier series to...Ch. 19 - Construct amplitude and phase line spectra for...Ch. 19 - 19.7 Construct amplitude and phase line spectra...Ch. 19 - 19.8 A half-wave rectifier can be characterized...Ch. 19 - 19.9 Construct amplitude and phase line spectra...Ch. 19 - Develop a user-friendly program for the DFT based...
Ch. 19 - 19.11 Use the program from Prob. 19.10 to compute...Ch. 19 - 19.12 Develop a user-friendly program for the FFT...Ch. 19 - 19.13 Repeat Prob. 19.11 using the software you...Ch. 19 - An object is suspended in a wind tunnel and the...Ch. 19 - 19.15 Use the Excel Data Analysis ToolPak to...Ch. 19 - Use the Excel Data Analysis Toolpack to fit a...Ch. 19 - (a) Use MATLAB to fit a cubic spline to the...Ch. 19 - 19.18 Use MATLAB to generate 64 points from the...Ch. 19 - In a fashion similar to Sec. 19.8.2, use MATLAB to...Ch. 19 - Runges function is written as f(x)=11+25x2...Ch. 19 - A dye is injected into the circulating blood...Ch. 19 - In electric circuits, it is common to see current...Ch. 19 - Develop a plot of the following data with (a)...
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But what is the Fourier Transform? A visual introduction.; Author: 3Blue1Brown;https://www.youtube.com/watch?v=spUNpyF58BY;License: Standard YouTube License, CC-BY