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e=B5=C4=BE=F8=B6=D4=D6=B5=D7=F8=B1=EA<BR>title('=CE=F3=B2=EE=C7=FA=CF=DF'=
)=20
=
;<BR>xlabel('=D1=F9=B1=BE')<BR>ylabel('=CE=F3=B2=EE=CA=B8=C1=BF')<BR>figu=
re%=D7=F7=CD=BC<BR>plot(h,=20
'k+')<BR>hold on<BR>plot(w,=20
=
'r*')<BR>legend('=CA=B5=BC=CA=C8=A8=CA=B8=C1=BF','=B9=C0=BC=C6=C8=A8=CA=B8=
=C1=BF')<BR>title('=B1=C8=BD=CF=CA=B5=BC=CA=BA=CD=B9=C0=BC=C6=C8=A8=CA=B8=
=C1=BF') ;<BR>axis([0=20
6 0.05 =
0.35])<BR>3.RLS=CB=E3=B7=A8=B5=C4=B7=C2=D5=E6=B3=CC=D0=F2=A3=BA<BR>% =
RLS=CB=E3=B7=A8<BR>randn('seed', 0)=20
;<BR>rand('seed', 0) ;<BR>NoOfData =3D 8000 ; % Set no of =
data points=20
used for training<BR>Order =3D 32 ; % =
=D7=D4=CA=CA=D3=A6=C2=CB=B2=A8=C8=A8=CA=FD<BR>Lambda =3D 0.98 ; %=20
=D2=C5=CD=FC=D2=F2=D7=D3<BR>Delta =3D 0.001 ; % =
=CF=E0=B9=D8=BE=D8=D5=F3R=B5=C4=B3=F5=CA=BC=BB=AF<BR>x =3D =
randn(NoOfData, 1)=20
;%=B8=DF=CB=B9=CB=E6=BB=FA=CF=B5=C1=D0<BR>h =3D rand(Order, =
1) ; % =CF=B5=CD=B3=CB=E6=BB=FA=B3=E9=D1=F9<BR>d =3D filter(h, 1, x) ; % =
=C6=DA=CD=FB=CA=E4=B3=F6<BR>% =
RLS=CB=E3=B7=A8=B5=C4=B3=F5=CA=BC=BB=AF<BR>P =3D Delta * eye ( Order, =
Order ) ;%=CF=E0=B9=D8=BE=D8=D5=F3<BR>w=20
=3D zeros ( Order, 1 ) =
;%=C2=CB=B2=A8=CF=B5=CA=FD=CA=B8=C1=BF=B5=C4=B3=F5=CA=BC=BB=AF<BR>% RLS =
Adaptation<BR>for n =3D=20
Order : NoOfData ; <BR>u =3D x(n:-1:n-Order+1) =
;%=D1=D3=CA=B1=BA=AF=CA=FD<BR>pi_ =3D u' * P=20
;%=BB=A5=CF=E0=B9=D8=BA=AF=CA=FD<BR>k =3D Lambda + pi_ * u =
;<BR>K =3D pi_'/k;%=D4=F6=D2=E6=CA=B8=C1=BF<BR>e(n) =3D d(n)=20
- w' * u ;%=CE=F3=B2=EE=BA=AF=CA=FD<BR>w =3D w + K * e(n) =
;%=B5=DD=B9=E9=B9=AB=CA=BD<BR>PPrime =3D K * pi_=20
;<BR>P =3D ( P - PPrime ) / Lambda =
;%=CE=F3=B2=EE=CF=E0=B9=D8=BE=D8=D5=F3<BR>w_err(n) =3D norm(h - w)=20
;%=D5=E6=CA=B5=B9=C0=BC=C6=CE=F3=B2=EE<BR>end ;<BR>% =
=D7=F7=CD=BC=B1=ED=CA=BE=BD=E1=B9=FB<BR>figure =
;<BR>plot(20*log10(abs(e)))=20
;%| e =
|=B5=C4=CE=F3=B2=EE=C7=FA=CF=DF<BR>title('=D1=A7=CF=B0=C7=FA=CF=DF') =
;<BR>xlabel('=B5=FC=B4=FA=B4=CE=CA=FD')=20
;<BR>ylabel('=CA=E4=B3=F6=CE=F3=B2=EE=B9=C0=BC=C6') =
;<BR>figure ;<BR>semilogy(w_err)=20
=
;%=D7=F7=CA=B5=BC=CA=B9=C0=BC=C6=CE=F3=B2=EE=CD=BC<BR>title('=CA=B8=C1=BF=
=B9=C0=BC=C6=CE=F3=B2=EE') ;<BR>xlabel('=B5=FC=B4=FA=B4=CE=CA=FD')=20
;<BR>ylabel('=CE=F3=B2=EE=C8=A8=CA=B8=C1=BF') =
;<BR>4.=D7=D4=CA=CA=D3=A6=BE=F9=BA=E2=C6=F7=B5=C4=B7=C2=D5=E6=B3=CC=D0=F2=
=A3=BA<BR>% Illustration of the=20
conventional RLS algorithm<BR>close=20
all;<BR>W=3D2.9;<BR>Nexp=3D10;<BR>N=3D2000;<BR>Nmc=3D1; % =
Number of ensemble=20
=
realizations<BR>M=3D11;%=B3=E9=CD=B7=CF=B5=CA=FD<BR>lambda=3D0.99;%=D2=C5=
=CD=FC=D2=F2=D7=D3<BR>varv=3D0.001;%=D4=EB=C9=F9=B7=BD=B2=EE<BR>h=3Dzeros=
(3,1);%h=B5=C4=B3=F5=CA=BC=BB=AF<BR>er=3Dzeros(N,Nmc);%er=B5=C4=B3=F5=CA=BC=
=BB=AF<BR>h(1)=3D0.5*(1+cos(2*pi*(1-2)/W));<BR>h(2)=3D0.5*(1+cos(2*pi*(2-=
2)/W));<BR>h(3)=3D0.5*(1+cos(2*pi*(3-2)/W));<BR>%=20
=D1=A7=CF=B0=C7=FA=CF=DF<BR>hc=3D[0 h(1) h(2) =
h(3)]';<BR>n0=3D7;<BR>t=3D(1:N)';<BR>for=20
=
i=3D1:Nmc<BR>y=3Dsign(rand(N,1)-0.5);%=CA=E4=C8=EB=D0=C5=BA=C5<BR>v=3Dsqr=
t(varv)*randn(N,1);%=D4=EB=C9=F9=D0=C5=BA=C5<BR>x=3Dfilter(hc,1,y)+v;%=D0=
=C5=BA=C5=BB=EC=BA=CF<BR>x=3D[zeros(M-1,1);x];%x=BE=D8=D5=F3<BR>yd=3Dzero=
s(N+M-1,1);=20
=
%=D1=D3=B3=D9=D0=C5=BA=C5=B3=F5=CA=BC=BB=AF<BR>e=3Dyd;<BR>yd(n0+M-1:N+M-1=
)=3Dy(1:N-n0+1);<BR>% CRLS =CB=E3=B7=A8<BR>%=20
=
Initialization<BR>lambda=3D0.98;<BR>P=3D(10^-3)*eye(M,M);<BR>c=3Dzeros(M,=
1);<BR>g=3Dc;<BR>glambda=3Dg;<BR>%=20
=B5=FC=B4=FA=B7=B6=CE=A7<BR>for=20
=
n=3DM:M+N-1<BR>xn=3Dflipud(x(n-M+1:n));<BR>glambda=3DP*xn;<BR>alphal=3Dla=
mbda+conj(glambda')*xn;<BR>g=3Dglambda/lambda;a(n)=3D1-conj(g')*xn;<BR>P=3D=
(P-g*conj(glambda'))/lambda;<BR>P=3D(P+P')/2;<BR>e(n)=3Dyd(n)-conj(c')*xn=
;<BR>c=3Dc+g*conj(e(n));<BR>end<BR>end<BR>eplot=3De(M:M+N-1).^2;<BR>subpl=
ot(2,1,1),=20
=
plot(t,abs(eplot))<BR>ylabel('|e(n)|^2');<BR>xlabel('n');<BR>subplot(2,1,=
2),=20
=
plot(t,a(M:M+N-1));<BR>ylabel('\alpha(n)');<BR>xlabel('n');<BR>5.=D7=D4=CA=
=CA=D3=A6=CF=DD=B2=A8=C6=F7=B5=C4=B7=C2=D5=E6=B3=CC=D0=F2=A3=BA<BR>N=3D40=
0;=20
%=D7=DC=B2=C9=D1=F9=B3=A4=B6=C8<BR>t=3D0:N-1; =
%=CA=B1=BC=E4=B5=C4=B1=E4=BB=AF=B7=B6=CE=A7<BR>s=3Dsin(2*pi*t/20); =
%=CA=E4=C8=EB=D0=C5=BA=C5<BR>A=3D0.5;=20
=
%=B8=C9=C8=C5=D0=C5=BA=C5=B5=C4=B7=F9=D6=B5<BR>fai=3Dpi/3;%=B8=C9=C8=C5=D0=
=C5=BA=C5=B5=C4=CF=E0=D2=C6<BR>n=3DA*cos(2*pi*t/10+fai);%=B8=C9=C8=C5=D0=C5=
=BA=C5<BR>x=3Ds+n;%=D0=C5=BA=C5=BB=EC=BA=CF<BR>subplot(2,2,1);%=D7=F7=B5=DA=
=D2=BB=D7=D3=CD=BC<BR>plot(t,s);<BR>subplot(2,2,2);=20
=
%=D7=F7=B5=DA=B6=FE=D7=D3=CD=BC<BR>plot(t,x);<BR>x1=3Dcos(2*pi*t/10);<BR>=
x2=3Dsin(2*pi*t/10);<BR>%=B3=F5=CA=BC=BB=AF<BR>w1=3D0.1;<BR>w2=3D0.1;<BR>=
e=3Dzeros(1,N);<BR>y=3D0;<BR>u=3D0.05;%=B5=FC=B4=FA=B2=BD=B3=A4<BR>for=20
=
i=3D1:N<BR>y=3Dw1*x1(i)+w2*x2(i);<BR>e(i)=3Dx(i)-y;%=CE=F3=B2=EE=D0=C5=BA=
=C5<BR>w1=3Dw1+u*e(i)*x1(i);%=B5=FC=B4=FA=B7=BD=B3=CC<BR>w2=3Dw2+u*e(i)*x=
2(i);%=B5=FC=B4=FA=B7=BD=B3=CC<BR>end<BR>subplot(2,2,3);=20
=
%=D7=F7=B5=DA=C8=FD=D7=D3=CD=BC<BR>plot(t,e);<BR>subplot(2,2,4);=20
%=D7=F7=B5=DA=CB=C4=D7=D3=CD=BC<BR>plot(t,s-e);</SPAN>=20
<BR><BR><BR><BR></TD></TR></TBODY></TABLE></TD></TR>
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<TD align=3Dleft>2006-12-6 08:56</TD>
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<OPTION value=3D"" selected>=C2=DB=CC=B3=CC=F8=D7=AA =
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