Infinite Impulse Response(IIR) Lowpass Filter IIR Lowpass filter with cutoff frequency of 75 Hz designed using IIR bandstop filter and IIR highpass filter
ADIBAH AIMI BINTI ABDUL RAHIM1, NURUL SALWA SHAKIRA BINTI MOHD JAMIL2, NUR FATIN ADIBAH BINTI KAMDANI 3, SEH BEE YAN4
1 Faculty of Electrical and Electronic Engineering, University of Tun Hussein Onn Malaysia, UTHM, Johor, Malaysia
Abstract—This document depicts the design of infinite impulse response low pass filter with the cutoff frequency of 75Hz by using IIR band stop filter and IIR high pass filter and uses the MATLAB software to program it. Besides, signals are generated in order to analyze the IIR low pass filter. (Abstract)
Index Terms—infinite impulse response; IIR
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The Fs should be more than 150 Hz as the Fc is 75 Hz. The Butterworth filter has a maximally flat response, i.e., no pass band ripple and roll-off of minus 20db per pole. Another name for it is “flat maximally magnitude” filters at the frequency of Ω = 0, as the first 2N - 1 derivatives of the transfer function when Ω = 0 is equal to zero. [3]. The Butterworth filters achieve its flatness at the expense of a relatively wide transition region from pass band to stop band with average transient characteristics. This filter is completely defined mathematically by two parameters i.e. cutoff frequency and number of poles.
A low-pass filter (LPF) provides a constant output from DC up to a cutoff frequency and rejects all signals above that frequency.
C. Objective
The objective of this project is
1. To design an IIR low pass filter with a cutoff frequency of 75Hz using IIR band stop filter and IIR high pass filter and use the MATLAB software to program it .
2. To generate signals into the designed filter in order to analyze the designed IIR low pass filter.
D. Scope
The scope of this project is
1. To design an IIR low pass filter with a cutoff frequency of 75Hz when the IIR band stop filter with a low cutoff frequency of 75Hz and high cutoff frequency that find from the equation(2) subtracts the IIR high pass filter with a cutoff frequency of that find from the equation
= IDSS/2 then Schokley’s equation can be written as, I_DSS/2=〖I_DSS (1-V_GS/V_(GS(off)) ) 〗^2 1/2=(1-V_GS/V_(GS(off)) ) ^2 V_GS=0.29V_(GS(off))
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N=Number of turns in the coil I = Current in the coil …………………………………………………………….Equation 9.3 Where U=
The filtered digital signal will then be converted to analog
onvergence of Adaptive Noise Canceller '); legend( 'Measured Signal ', 'Error Signal '); subplot(3,3,6); plot(t,e, 'r '); hold on; plot(t,fhb, 'b '); axis([Time-4 Time -0.5 0.5]); grid on; xlabel( 'Time [sec] '); ylabel( 'Voltage [mV] '); title( 'Steady-State Error Signal '); legend( 'Calc Fetus ', 'Ref Fetus ECG '); filt_e = filter(Hd,e); subplot(3,3,7); plot(t,fhb, 'r '); hold on; plot(t,filt_e, 'b '); axis([Time-4 Time -0.5 0.5]); grid on; xlabel( 'Time [sec] '); ylabel( 'Voltage [mV] '); title( 'Filtered signal '); legend( 'Ref Fetus ', 'Filtered Fetus '); thresh = 4*mean(abs(filt_e))*ones(size(filt_e)); peak_e = (filt_e >= thresh); edge_e = (diff([0; peak_e]) >0); subplot(3,3,8); plot(t,filt_e, 'c '); hold on; plot(t,thresh, 'r '); plot(t,peak_e, 'b '); xlabel( 'Time [sec] '); ylabel( 'Voltage [mV] '); title( 'Peak detection '); legend( 'Filtered fetus ', 'Dyna thresh ', 'Peak marker ', 'Location ', 'SouthEast '); axis([Time-4 Time -0.5 0.5]); subplot(3,3,9); plot(t,filt_e, 'r '); hold on; plot(t,edge_e, 'b '); plot(0,0, 'w '); fetus_calc = round((60/length(edge_e(16001:end))*Fs) * sum(edge_e(16001:end))); fetus_bpm = [ 'Fetus Heart Rate = ' mat2str(fetus_calc)]; xlabel( 'Time [sec] '); ylabel( 'Voltage [mV] '); title( 'Reconstructed fetus
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