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function hd=ideal_lp(wc,M) alpha=(M-1)/2; n=[0:1:(M-1)]; m=n-alpha+eps; hd=sin(wc*m)./(pi*m);

n=[-1:3]; x=1:5; k=0:500;w=(pi/500)*k; X=x*exp(-j*pi/500.*(n'*k)); magX=abs(X);angX=angle(X); realX=real(X);imagX=imag(X); subplot(2,2,1);plot(w/pi,magX);grid; xlabel('Frequency');ylabel('ampli

function [Hr,w,c,L]=Hr_Type3(h); M=length(h); L=(M-1)/2; c=2*[h(L+1:-1:1)]; n=[0:1:L]; w=[0:1:500]'*pi/500; Hr=sin(w*n)*c';

wp=0.2*pi;ws=0.3*pi; tr_width=ws-wp; M=ceil(6.6*pi/tr_width) n=[0:1:M-1]; wc=(ws+wp)/2; hd=ideal_lp(wc,M); w_ham=(hamming(M))'; h=hd.*w_ham; [db,mag,pha,grd,w]=freqz_m(h,[1]); delta_w=2*pi/

% example 12 x=linspace(0,2*pi,30); y=sin(x); z=cos(x); a=2*sin(x).*cos(x); b=sin(x)./(cos(x)+eps); subplot(2,2,1)%选取4个子图中的左上 plot(x,y);axis([0 2*pi -1 1]),title('sin(x)'); subplot(2,2,2)%选取4个

function [Hr,w,d,L]=Hr_Type4(h); M=length(h); L=M/2; d=2*[h(L:-1:1)]; n=[1:1:L];n=n-0.5; w=[0:1:500]'*pi/500; Hr=sin(w*n)*d';

b=1; a=[1,-0.9]; figure(1); zplane(b,a); figure(2); [H,w]=freqz(b,a,100); magH=abs(H);phaH=angle(H); subplot(2,1,1);plot(w/pi,magH);grid; xlabel('freq');ylabel('amp'); subplot(2,1,2);plot(w/p

function [Hr,w,a,L]=Hr_Type1(h); M=length(h); L=(M-1)/2; a=[h(L+1) 2*h(L:-1:1)]; n=[0:1:L]; w=[0:1:500]'*pi/500; Hr=cos(w*n)*a';

function [Hr,w,b,L]=Hr_Type2(h); M=length(h); L=M/2; b=2*[h(L:-1:1)]; n=[1:1:L];n=n-0.5; w=[0:1:500]'*pi/500; Hr=cos(w*n)*b';

% example 8 x=linspace(0,2*pi,30); y=sin(x); z=cos(x); plot(x,y,'g:',x,z,'r-',x,y,'bo',x,z,'r+')