The first image of ECG shows the heart rate at about 70 beats per second. For...

Transcribed Image Text:

The first image of ECG shows the heart rate at about 70 beats per second. For the sake of simplicity, for this case, assume 60 beats per minute. Also, for simplicity, assume that the patient has only an R wave (neglect the other picks- Note that the patient may be diagnosed with premature or scape beats). From the first ECG image, The R wave is about 2.5 mV high and lasts for a total of 40 ms. Then the R wave can be estimated as below (the time units are milliseconds): V(t) = -0.0000156(t-20)*+2.5 The shape of the R wave after estimation with a polynomial function will be: 3 2.5 Voltage (mV) 2 1.5 1 0.5 0 T T 0 200 400 600 800 1000 Time (ms) Find: A. Calculate the first 5 Fourier series coefficients (A0-4 and B1-5) for the estimated R wave. B. Draw the Fourier synthesis for the first 5 known coefficients C. Calculate the first 25 Fourier series coefficients (A0-24 and B1-25) for the estimated R wave. D. Draw the Fourier synthesis for the first 25 known coefficients E. Plot the frequency domain of the estimated R wave for the first 25 coefficients of the Fouirer series The first image of ECG shows the heart rate at about 70 beats per second. For the sake of simplicity, for this case, assume 60 beats per minute. Also, for simplicity, assume that the patient has only an R wave (neglect the other picks- Note that the patient may be diagnosed with premature or scape beats). From the first ECG image, The R wave is about 2.5 mV high and lasts for a total of 40 ms. Then the R wave can be estimated as below (the time units are milliseconds): V(t) = -0.0000156(t-20)*+2.5 The shape of the R wave after estimation with a polynomial function will be: 3 2.5 Voltage (mV) 2 1.5 1 0.5 0 T T 0 200 400 600 800 1000 Time (ms) Find: A. Calculate the first 5 Fourier series coefficients (A0-4 and B1-5) for the estimated R wave. B. Draw the Fourier synthesis for the first 5 known coefficients C. Calculate the first 25 Fourier series coefficients (A0-24 and B1-25) for the estimated R wave. D. Draw the Fourier synthesis for the first 25 known coefficients E. Plot the frequency domain of the estimated R wave for the first 25 coefficients of the Fouirer series