Implementation of PC A using Matlab
$250-750 USD
Dibayar semasa penghantaran
The goal of this project is to determine whether PC A as implemented by Matlab can
successfully un-mix a known combination of signals to obtain principle components.
1. Construct a set of three sinusoidal signals of different frequencies that are
not harmonics of one another – for each data set, add a small amount of
white noise. (SNR of less than 5%)
2. Now create three signals that are different linear combinations of the three
sinusoidal frequencies.
3. Using the Matlab PCA command, determine the coefficient matrix for the PCA
transformation.
4. Using the coefficient matrix, determine the transformed data set along
principal component axes.
5. Plot the noisy sinusoids, from part 1, the data sets from part 2, and the result
from part 4.
6. In your project write-up address whether or not PCA successfully separated
the signals. Why or why not?
Example
To clarify:
Construct three sinusoidal signals of different frequencies. Say the signals are called x1, x2, and x3. Choose your frequencies to be within an order of magnitude, but not harmonics. So, say 5 hertz, 12 hertz, 17 hertz.
Add some random noise to each signal.
Now, create three new signals that are linear combinations of x1, x2, and x3. Let's call them f1, f2, and f3
So, something like f1 = 3x1 + 7x2 + 4x3 and so on.
The "f" signals are the ones you will run PCA on. The objective is to see whether PCA will recover your original signals.
As part of the project presentation you should:
plot your original x signals
plot your f signals
plot your signals that PCA gives you
Your output from PCA will be a matrix of coefficients. When the PCA matrix multiplies the f signals, it is effectively "unmixing" the signal and giving you the principal components. Your goal is to determine how effective PCA is on the signals you create.
ID Projek: #8986610
Tentang projek
7 pekerja bebas membida secara purata $372 untuk pekerjaan ini
Hello! This can be done quikly and comprehensively, if you choose me. Ping me for further discussion. All the best! Ognjen
Hello, dear friend I am expert in matlab, mhthematics, physics,... I have a lot of experiences in PCA. I can help you well. Please contact me. Best regards
---------------------------------Nice job.I can do it. I'm math expert. No problem.---------------------------
Hi, I'm electrical and electronics engineer. I work in signal processing task as R&D Engineer. I use Matlab for 4 years. I can start immediately. Best wishes, Murat
DEAR HIRING MANAGER I am an industrial engineer. I am very good at mechanical, electrical, control and automation, fluid mechanical,...I am expert at system modeling,data base creating,data quantitative analysis,sta Lagi
