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Which of the following best describes the effect of applying a median filter to a noisy 1D signal?

easy📝 Conceptual Q1 of 15
SciPy - Image Processing (scipy.ndimage)
Which of the following best describes the effect of applying a median filter to a noisy 1D signal?
AIt amplifies high-frequency components to enhance edges.
BIt computes the average of all values in the signal, smoothing it uniformly.
CIt replaces each value with the median of neighboring values, reducing impulsive noise.
DIt replaces each value with the maximum value in the entire signal.
Step-by-Step Solution
Solution:
  1. Step 1: Understand median filter operation

    A median filter replaces each element with the median of its neighbors, which effectively removes impulsive noise like salt-and-pepper noise.
  2. Step 2: Compare options

    It replaces each value with the median of neighboring values, reducing impulsive noise. correctly describes this behavior. It computes the average of all values in the signal, smoothing it uniformly. describes averaging (mean filter), C describes edge enhancement (not median), and D is incorrect.
  3. Final Answer:

    It replaces each value with the median of neighboring values, reducing impulsive noise. -> Option C
  4. Quick Check:

    Median filter reduces spikes by median calculation [OK]
Quick Trick: Median filter replaces values with local median [OK]
Common Mistakes:
  • Confusing median filter with mean filter
  • Thinking median filter amplifies edges
  • Assuming median filter uses global statistics

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