Digital signal processing lab with python, u might wanna install these libraries:

import numpy as np
import scipy.signal as signal
import matplotlib.pyplot as plt

from skimage.io import imread

%matplotlib inline

 

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Exercise 6: Non-Linear Systems are Cool Too! We will attempt to use two different filters a 5x5 mean filter and a 5x5 median filter. Note that a median filter is a non-linear system! A 5x5 median filter simply takes the median of the 25 pixels surrounding the center pixel in the filter and assigns that value to the center pixel. a. Explain/prove why the median filter is a non-linear system. You may write your answer with respect to a one-dimensional median filter. b. Apply a 5x5 mean filter to the noisy image and plot the result. You can do this two different ways. You can apply a length-5 mean filter along the rows and columns in any order or use our convolve_2d() function from before with an appropriate filter you create. c. Apply a 5x5 median filter to the noisy image and plot the result. Use signal.medfilt() to perform the filtering. Look up the scipy documentation for notes on this function's usage d Comment on the differences. Which filter seems to work better? Why do you think so? In 1: Code for 6.b e Code for 6.c CS Scanned with CamScanner Answer for 6.a here: Answer for 6.d here: Exercise 6: Non-Linear Systems are Cool Too! We will attempt to use two different filters a 5x5 mean filter and a 5x5 median filter. Note that a median filter is a non-linear system! A 5x5 median filter simply takes the median of the 25 pixels surrounding the center pixel in the filter and assigns that value to the center pixel. a. Explain/prove why the median filter is a non-linear system. You may write your answer with respect to a one-dimensional median filter. b. Apply a 5x5 mean filter to the noisy image and plot the result. You can do this two different ways. You can apply a length-5 mean filter along the rows and columns in any order or use our convolve_2d() function from before with an appropriate filter you create. c. Apply a 5x5 median filter to the noisy image and plot the result. Use signal.medfilt() to perform the filtering. Look up the scipy documentation for notes on this function's usage d Comment on the differences. Which filter seems to work better? Why do you think so? In 1: Code for 6.b e Code for 6.c CS Scanned with CamScanner Answer for 6.a here: Answer for 6.d here:

Answer rating: 100% (QA)

Answer for 6a The median filter is a nonlinear system because its output does not depend solely on t... View the full answer