Numerical Analysis
3rd Edition
ISBN: 9780134696454
Author: Sauer, Tim
Publisher: Pearson,
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Chapter 10.3, Problem 5SA
Design a fair comparison of the Wiener filter with the low-pass filter described in Section 10.2, and carry out the comparison.
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When a signal is produced from a sequence of measurements made on a process (a chemical reaction, a flow of heat
through a tube, a moving robot arm, etc.), the signal usually contains random noise produced by measurement errors. A
standard method of preprocessing the data to reduce the noise is to smooth or filter the data. One simple filter is a moving
average that replaces each yk by its average with the two adjacent values:
yk+1 +Yk +Yk-1 = Zk
for k = 1, 2, ...
= Z.k
Suppose a signal yk, for k = 0, ..., 14, is
9, 5, 7, 3, 2, 4, 6, 5, 7, 6, 8, 10, 9, 5, 7
Use the filter to compute 7,1, ..
Z,13. . Make a broken-line graph that superimposes the original signal and
the smoothed signal.
Please also provide the drawing of curve/rejection region for each item as shown on the examples. Thanks.
Consider a Qunat vars and Y and suppose we
have collected data on both of them from an
underlying population:
PowerPoint Slide Show-LinearReg.pptx]-PowerPoint
Bivariate Analysis: Modelling a Linear Relation
b=
After checking their scatter graph and correlation, if
the amount of linear relation between the two was
high enough, we can model the relation using a linear
function: Y=f(X)=a+bX
To that end, we need to estimate a and b.
x1,x2,...,xn
У1. Уг...... Уп
a =
nΣ(xy) - ExΣy
nΣx²-(x)²
Σy-bΣx
n
MULTIPLE CHOICE QUESTION
If the amount if linear association was not
high, we do not use SLR
True
False
Rewatch
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Chapter 10 Solutions
Numerical Analysis
Ch. 10.1 - Prob. 1ECh. 10.1 - Find the DFT of the following vectors: (a) [...Ch. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.2 - Use the DFT and Corollary 10.8 to find the...Ch. 10.2 - Prob. 2E
Ch. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Find a version of (10.19) for the interpolating...Ch. 10.2 - Find the order 8 trigonometric interpolating...Ch. 10.2 - Find the order 8 trigonometric interpolating...Ch. 10.2 - Prob. 3CPCh. 10.2 - Prob. 4CPCh. 10.2 - Prob. 5CPCh. 10.2 - Prob. 6CPCh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Find the best order 4 least squares approximation...Ch. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 1CPCh. 10.3 - Prob. 2CPCh. 10.3 - Plot the least squares trigonometric approximation...Ch. 10.3 - Prob. 4CPCh. 10.3 - Gather 24 consecutive hourly temperature readings...Ch. 10.3 - Run the code to form the filtered signal yf, and...Ch. 10.3 - Compute the mean squared error (MSE) of the input...Ch. 10.3 - Prob. 3SACh. 10.3 - Prob. 4SACh. 10.3 - Design a fair comparison of the Wiener filter with...Ch. 10.3 - Download a .wav file of your choice, add noise,...
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