INTERFERENCE REDUCTION IN ELECTROCARDIOGRAPHY Task 9. Load the "ecgbn dat signal containing the raw electrocardiograph (

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Interference Reduction In Electrocardiography Task 9 Load The Ecgbn Dat Signal Containing The Raw Electrocardiograph 1 (52.29 KiB) Viewed 43 times

INTERFERENCE REDUCTION IN ELECTROCARDIOGRAPHY Task 9. Load the "ecgbn dat signal containing the raw electrocardiograph (ECG) data. You have analysed this signal in the previous ab and hopefully established that it's contaminated with the interference of 60, 120 and 180 HE Using a zero-placement method, design three second-order notch FIR filters, each with a complex conjugate pair of zeros in order to remove those three components from the signal. Now, use Matlab to combine the three designed filters into one and filter the ECG signal. Plot the original and filtered signals. Calculate and plot the spectra of both, the raw and filtered signals as well as the frequency response of your filter to verify your design Digital Signal Processing 2021-22 Page 11 Unit Circle Im SIMPLE HIR FILTER ANALYSIS AND DESIGN In this section we will consider a simple IR filter with a complex conjugate pair of poles shown in Figure 2 on the right: =re andre Here is the distance from the origin, and is the angle of A relative to the positive real axis. The transfer function for this system M (8) is given by I- 1. (-)-(1-re":)(1-re ">") * -Zrces (0)3* *r*:* where I - is a normalisation constant. A causal IR filter is stable if and only if its poles are located within the unit circle. This implies that this filter is stable l' and only it w<t. Figure 2. Task 10. Calculate and plot the magnitude of the filter's frequency response () on 2<for 8-2/3 and the following three values of : r=099, r=0.9. r=0.8. How does the value of affect the magnitude of the filter frequency response? Task 11. Calculate and plot the magnitude of the filter's frequency response H (2) <for r=09 and the following three values of 0:0*/6,8 = 1/3, 8=*/2. How does the value of affect the magnitude of the filter frequency response? Task 12 Use the conclusions drawn in Tasks 10 and 11 and the material covered in the DSP lectures to design a simple lifter to process and filter the signal in the "pom.mat" file. Your li filter should be designed in order to amplify the narrowband component present in the signal compared to the wideband, background noise. You should first analyse the signal (using myOFT or the "e" function, appropriately position the signal poles, obtain the x-transform and the corresponding difference equation for your filter and finally filter the signal and analyse the filter output. You can write your own code to do the filtering or alternatively, you can use the Matlab filter" function Listen to the signal before and after filtering and draw conclusions Task 13. Use the Matlab function "Filter( to obtain the impulse response of the li filter designed in the previous task and plot itUse this result to generate FIR filters which are 50, 100 and 150 coefficients long approximate the ti filter from the Task 12. Obtain the frequency response of each filter, plot them ona single figure, topether with the frequency response of the original filter and analyse the obtained results.