Question

Higher-order differentiation filter coefficients in Pan Tompkins algorithm is

• A. \( \text{[1 2 0 -2 -1]} \)
• B. \( \text{[-1 -2 0 2 1]} \)
• C. \( \text{[-2 -1 0 1 2]} \)
• D. \( \text{[2 1 0 -1 -2]} \)

Hint:

The differentiation filter in the Pan-Tompkins algorithm is a critical step for highlighting the rapid changes in the ECG signal characteristic of the QRS complex. The filter is a 5-point moving average derivative approximation. Remember the specific coefficients: $[1, 2, 0, -2, -1]$. This filter is often normalized by a factor like $1/8$. Its antisymmetric nature (e.g., $h[n] = -h[-n]$ for odd functions) ensures it approximates a derivative and has a zero at DC, which is important for suppressing baseline wander.

Answer 1

The Correct Option is B

To solve this problem, we need to identify the correct higher-order differentiation filter coefficients used in the Pan-Tompkins algorithm, which is typically used for QRS detection in ECG signals.

1. Understanding the Pan-Tompkins Algorithm:

The Pan-Tompkins algorithm involves several stages to detect QRS complexes in ECG signals. One of the key steps in this algorithm is the differentiation step, where the filter used emphasizes the steep slopes of the QRS complex. This filter is typically a higher-order filter designed to detect the rapid changes in the signal corresponding to the QRS complex.

2. Analyzing the Filter Coefficients:

The higher-order differentiation filter used in the Pan-Tompkins algorithm is typically represented by the coefficients:

 

\[ \text{[-1 -2 0 2 1]} \]

This filter is designed to highlight the rapid slopes associated with the QRS complex, and its coefficients are chosen to emphasize the changes in the ECG signal over a short time window.

3. Final Answer:

The higher-order differentiation filter coefficients in the Pan-Tompkins algorithm are \( \text{[-1 -2 0 2 1]} \).