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.
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.
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.
The higher-order differentiation filter coefficients in the Pan-Tompkins algorithm are \( \text{[-1 -2 0 2 1]} \).
What is the voltage across the inductor at $t=0$? (Circuit diagram provided: A 60V voltage source in series with a switch that closes at $t=0$, a 30 ohm resistor, and a 15H inductor.) 
The overall impulse response of the system shown in figure is given by (Block diagram provided: Input $X(n)$ splits. One path goes to $h_1[n]$, another to $h_2[n]$. The outputs of $h_1[n]$ and $h_2[n]$ are subtracted. This result is convolved with $h_3[n]$. Separately, $X(n)$ also goes to $h_5[n]$. The output of $h_3[n]$ and $h_5[n]$ are subtracted. This result is convolved with $h_4[n]$ to produce $y(n)$.) 