Question: [ 2 marks ] Consider the following hypothetical scenario. A Holter monitor collected a patient's extremely detailed ECG signal over 2 4 hours. The patient's

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Consider the following hypothetical scenario. A Holter monitor collected a patient's extremely detailed ECG signal over

24

hours. The patient's data must be wirelessly transmitted to a hospital's cardiology department for analysis. However, the raw ECG signal is several terabytes large. Instead, the Holter monitor automatically calculates and transmits several hundred Fourier series coefficients of the patient's ECG. The technicians at the cardiology department then reconstruct the patient's ECG.

Would clinicians have sufficient periodic signal components to measure the patient's heart rate? Would clinicians need more or fewer Fourier series coefficients to diagnose more detailed atrial or ventricular electro

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pathologies? Explain your reasoning for your answers. Use your knowledge of the Fourier series properties to answer the questions above concisely.

[ 2 marks ] Consider the following hypothetical

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