TUGAS PRAKTIKUM
METODE ANALISIS GEOFISIKA II
Tugas I (Genap)Filter Rangkaian R L C Circuit
1.
a. Persamaan Diferensial
x(t) = L + R i + y(t) = = C. y(t)
I(t) = C. y(t)
x(t) = L.C. y(t) + R.C y(t) + y(t) ( ( Persamaan
Differensial
b. Fungsi Transfer
x(s) = L.S.I(s) + R.I(s) + .S I(s)
y(s) = .S I(s)
H(s) = = =
1( ( Fungsi Transfer
LCS2 + RCS+1
c. Frekuensi ResponsH(j) = [
= [ ( ( Frekuensi Respons
d. Impuls Respons
L-1 (H(s)) = L-1 ( [ )
(H(t)) = [ ) ( ( Impuls ResponsDengan a + b = R/L ; a.b =
1/LC
e. Persamaan Beda
= = write y (nT) as y(n)
= = = =
x(t) = L.C. y(t) + R.C y(t) + y(t)x(n) = L.C [ ]+ R.C [ ]
+y(n)
x(n) = a.y(n) b.y(n-1) + c.y(n-2)
y(n) = (x(n) + b.y(n-1) c . y(n-2)) / a
a = ; b = ; c =
Tugas 2
Membuat Rangkaian RLC sebagai Filter Pada Matlab
%=================================================%% TUGAS MATA
KULIAH METODE ANALISIS GEOFISIKA 2 : %% PROGRAM FILTER RANGKAIAN
RLC %% INPUT = A.Sin (2pi.f.t) %% SHINTA KARTINA 08/269726/PA/12052
%%=================================================%% Parameter
Masukan dalam Rangkaian %L = input('Induktansi (L) : ');C =
input('Kapasitor (C) : ');R = input('Resistor (R) : ');dT =
input('waktu pencuplikan : ');% Parameter Dalam Input %n =
input('Jumlah data masukan : ');Am = input(' Amplitudo Sinyal :
');f = input('Frekueansi Sinyal : ');% Persamaan Beda yang sudah di
peroleh %a = ((L.*C)+(R.*C.*dT)+(dT.*dT))./(dT.*dT);b =
((2.*L.*C)+(R.*C.*dT))./(dT.*dT);c = (L.*C)/(dT.*dT);if
n==0;x(0)=0; y(0)= 0;else if n==1;x(1)= 0; y(1)= x(1)./a; else if
n==2; x(2) = (Am.*sin(2.*pi.*f.*dT))y(2)= (x(2)+(b.*y(1)))./a;
elsefor i = 3:1:n;x(i) = (Am.*sin(2.*pi.*f.*dT.*(i-1)));y(i) =
(x(i)+(b.*y(i-1))-(c.*y(i-2)))./a;end ;% Grafik Fungsi Input
%subplot(3,1,1);plot(x,'r');axis ([0 n min(x) max(x)]);title('Input
Masukan A.Sin(wT)'); xlabel('n data');ylabel('A.Sin wT');% Filter
Rangkaian RLC circuit %subplot(3,1,2);plot (y,'r');axis ([0 n
min(y) max(y)]);title('Filter Rangkaian RLC');
xlabel('data');ylabel('Filter');% Grafik hasil Input yang di filter
RLC %subplot(3,1,3);plot(x,y,'r');axis ([min(x) max(x) min(y)
max(y)]);title('Output dari Input dengan Filternya');
xlabel('Input');ylabel('Output');end; end;end;% END of PROGRAM
%Hasil Filtering bisa Fungsi input X(n) = A. sin TDengan A =
Amplitudo = 2.5
Frekuensi = 1.75 Hz
Waktu Pencuplikan = 0.02s
Induktansi = 2.0
Resistansi = 1.5
Kapasitansi = 2.5
Jumlah Data = 2500
Tugas 3
Memplot Data Magnetik Sebagai Fungsi Space
%=================================================%% TUGAS MATA
KULIAH METODE ANALISIS GEOFISIKA 2 %% PLOTTING DATA MAGNETIK % %
MUHAMMAD ABDULLAH 08/269831/PA/12092
%%=================================================%load
asdasd.txtx=asdasd(:,1);
y=asdasd(:,2);figure;stem(x,y,'r');xlabel('Jarak (m)');
ylabel('Anomali magnetik'); title ({'Grafik Anomali Magnetik Suatu
Wilayah'});xi=1:1:length(x); %Banyak datafor i=1:length(x)
h(i,1)=xi(i); h(i,2)=y(i);end%Baseline
Correctionr=mean(y);yb=y-r;figure;plot(x,yb,'r');xlabel('jarak
(meters)'); ylabel('Anomali Magnetik'); title ({'Grafik Anomali
Magnetik Suatu Wilayah'});for i=1:length(x) hbase(i,1)=xi(i);
hbase(i,2)=y(i);end
Tugas 4
Filtering Data Dengan FIR ( Finite Impulse Response )
%=================================================%% TUGAS MATA
KULIAH METODE ANALISIS GEOFISIKA 2 : %% PROGRAM FILTER FIR ( FINITE
IMPULSE RESPONSE) % % MUHAMMAD ABDULLAH 08/269831/PA/12092
%%=================================================%load
asdasd.txtx=asdasd(:,1);
y=asdasd(:,2);figure;stem(x,y,'r');xlabel('Jarak (m)');
ylabel('Anomali magnetik'); title ({'Grafik Anomali Magnetik Suatu
Wilayah'});xi=1:1:length(x); %Banyak datafor i=1:length(x)
h(i,1)=xi(i); h(i,2)=y(i);end%Baseline
Correctionr=mean(y);yb=y-r;figure;plot(x,yb,'r');xlabel('jarak
(meters)'); ylabel('Anomali Magnetik'); title ({'Grafik Anomali
Magnetik Suatu Wilayah'});for i=1:length(x) hbase(i,1)=xi(i);
hbase(i,2)=y(i);end%Frekuensi Sampling dan Nyquist%dt = 15
Secondsfsamp=0.070;fnyq=.5*fsamp;%Proses FFTYb=fft(yb);
n=length(Yb);power = abs(Yb(1:n/2)).^2;hold off;freq =
(1:n/2)/(n/2)*fnyq;figure;
plot(freq,power);xlabel('Cycle/Seconds'); ylabel('Power spectral');
title
('Periodogram');%================================================%%
A. FILTER LOW PASS
%%================================================%%Tanggap
ImpulseFL = 0.02; %frekuensi cut-off bawahW0=FL/fnyq;for i=1:1:n;
LP(i)=2*W0*(sin((i)*pi*W0)/((i)*pi*W0));end;for i=1:n;
hL(i)=LP(n-i+1); hL(n+i)=LP(i);end;figure;plot(hL(1:2*n),'b');
title('Tanggapan Impulse Low Pass Filter');
xlabel('n');ylabel('h(n)');%Zero-Phase ResponseLP1 =
abs(fft(LP));for i = 1:1:n/2 LPF(i) =
LP1(n/2-i+1);endfigure;plot(freq.*30*pi,LPF,'b');title('Zero-Phase
Response'); xlabel('Normalized
Frekuensi');ylabel('H(f)');%Filtering gelombang dengan Low Pass
Filter (Frekuensi Domain)LF = LPF'.*power;figure;
plot(freq,LF,'b');title({'Filtering Data dengan Low Pass
Filter';'Frekuensi Domain'}); xlabel('Frekuensi
(Hz)');ylabel('Amplitude');%================================================%%
A. FILTER HIGHPASS
%%================================================%%Tanggap
ImpulseFH = 0.01; %frekuensi cut-off atasW1=FH/fnyq;for k=1:1:n;
HP(k)=-2*W1*(sin((k)*pi*W1)/((k)*pi*W1));end;for k=1:n;
hH(k)=HP(n-k+1); hH(n+k)=HP(k);end;figure;plot(hH(1:2*n),'g');
title('Tanggapan Impulse High Pass Filter');
xlabel('n');ylabel('h(n)');%Zero-Phase ResponseHP1 =
abs(fft(HP));for k = 1:1:n/2 HPF(k) =
HP1(k+n/2);endfigure;plot(freq.*30*pi,HPF,'g');title('Zero-Phase
Response'); xlabel('Normalized
Frekuensi');ylabel('H(f)');%Filtering gelombang dengan High Pass
Filter (Frekuensi Domain)HF = HPF'.*power;figure;
plot(freq,HF,'g');title({'Filtering Data dengan High Pass
Filter';'Frekuensi Domain'}); xlabel('Frekuensi
(Hz)');ylabel('Anomali');%================================================%%
A. FILTER BAND PASS
%%================================================%%Tanggap
ImpulseFL = 0.01;FH = 0.024;W2 = FH/fnyq;W3 = FL/fnyq;for z=1:1:n;
BP(z)=2/(z*pi)*(sin((z)*pi*W2)-sin((z)*pi*W3));end;for z=1:n;
hB(z)=BP(n-z+1); hB(n+z)=BP(z);end;figure;plot(hB(1:2*n),'y');
title('Tanggapan Impulse Band Pass Filter');
xlabel('n');ylabel('h(n)');%Zero-Phase ResponseBP1 =
abs(fft(BP));for i = 1:1:n/2 BPF(i) =
BP1(i);endfigure;plot(freq.*30*pi,BPF,'y');title('Zero-Phase
Response'); xlabel('Normalized
Frekuensi');ylabel('H(f)');%Filtering gelombang dengan Band Pass
Filter (Frekuensi Domain)BF = BPF'.*power;figure;
plot(freq,BF,'y');title({'Filtering Data dengan Band Pass
Filter';'Frekuensi Domain'}); xlabel('Frekuensi
(Hz)');ylabel('Anomali');%END of PROGRAM %A. Low Pass Filter
B. High Pass Filter C. Band Pass Filter
Tugas 5
Membuat Filtering Infinite impulse respons
%=================================================%% TUGAS MATA
KULIAH METODE ANALISIS GEOFISIKA 2 : %% PROGRAM FILTER FIR ( FINITE
IMPULSE RESPONSE) % % MUHAMMAD ABDULLAH 08/269831/PA/12092
%%=================================================%load
asdasd.txtx=asdasd(:,1);
y=asdasd(:,2);figure;stem(x,y,'r');xlabel('Jarak (m)');
ylabel('Anomali magnetik'); title ({'Grafik Anomali Magnetik Suatu
Wilayah'});n = input('Orde Filter untuk Data Anginku : ');nd =
232;xi=1:1:232; %Banyak datafor j=1:232 h(j,1)=xi(j);
h(j,2)=y(j);end%Baseline
Correctionr=mean(y);yb=y-r;figure;plot(x,yb,'r-');xlabel('Jarak
(m)'); ylabel('Anomali magnetik'); title ({'Grafik Anomali Magnetik
Suatu Wilayah'});for j=1:232 hbase(j,1)=xi(j);
hbase(j,2)=y(j);end%Frekuensi Sampling dan Nyquist%dt = 15
Secondsfs=0.067;fnyq=.5*fs;%Proses FFTYb=fft(yb);
nd=length(Yb);power = abs(Yb(1:nd/2)).^2;hold off;freq =
(1:nd/2)/(nd/2)*fnyq;figure;
plot(freq,power);xlabel('Cycle/Seconds'); ylabel('Power spectral');
title ('Periodogram');% IIR FILTER - BUTTERWORT LOWPASS% Dengan
parameter :fc=0.01; % cutoff frequencydeltaF=0.000578; % frequency
stepN1=fs/deltaF; % banyak sample N=2^(log2(N1));fs=N*deltaF; % new
sampling frequencydeltaT=1/fs; % time
stepfc=deltaF*round(fc/deltaF); wc=2*pi*fc; % Membuat
FilterW=-2*pi*fs/2:deltaF*2*pi:2*pi*fs/2; % frekuensi angulark=1:n;
p_k=wc*exp(i*pi*(n-1+2.*k)/(2*n)); Filter_f=1;for c1=1:n
Filter_f=Filter_f./((i*W-p_k(c1))/wc);endFilter_f1=Filter_f';%
|H(jw)| linear plot figure;subplot(3,1,1);
plot(W/(4*pi),abs(Filter_f));title('Filter Frequency
Response');xlabel('Frequency (Hz)');ylabel('|H(jw)|');grid;%
20log|H(jw)| plot, untuk f>0. subplot(3,1,2);
semilogx(W(N/2+1:N)/(2*pi),20*log10(abs(Filter_f(N/2+1:N))));xlabel('Frequency
(logHz)');ylabel('|H(jw)|_d_B');grid;% arg{H(jw)} plot, untuk
f>0subplot(3,1,3);
semilogx(W(N/2+1:N)/(2*pi),(180/pi*phase(Filter_f(N/2+1:N))));xlabel('Frequency
(logHz)');ylabel('Phase (deg)');grid;% Plotting Pole dengan
scaterfigure;scatter(real(p_k),imag(p_k));title('Locus of the n
poles');xlabel('Re (s)');ylabel('Im (s)');grid;axis([-wc wc -wc
wc]);% Pemfilteran dalam Domain
Frekuensifigure;BF=power.*Filter_f1;plot(freq,BF)title('Output
Filtered Signal, Frekuensi Domain')xlabel('Time
(s)');ylabel('Amplitude');grid;
C
R
L
V2
V1
Gambar 6. Rangk. Listrik Seri RLC
