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練習三 實驗三 五． 1． >>help window WINDOW Window function gateway. WINDOW(@WNAME,N) returns an N-point window of type specified by the function handle @WNAME in a column vector. @WNAME can be any valid window function name, for example: @bartlett - Bartlett window. @barthannwin - Modified Bartlett-Hanning window. @blackman - Blackman window. @blackmanharris - Minimum 4-term Blackman-Harris window. @bohmanwin - Bohman window. @chebwin - Chebyshev window. @flattopwin - Flat Top window. @gausswin - Gaussian window. @hamming - Hamming window. @hann - Hann window. @kaiser - Kaiser window. @nuttallwin - Nuttall defined minimum 4-term Blackman-Harris window. @parzenwin - Parzen (de la Valle-Poussin) window. @rectwin - Rectangular window. @tukeywin - Tukey window. @triang - Triangular window. WINDOW(@WNAME,N,OPT) designs the window with the optional input argument specified in OPT. To see what the optional input arguments are, see the help for the individual windows, for example, KAISER or CHEBWIN. WINDOW launches the Window Design & Analysis Tool (WinTool). EXAMPLE: N = 65; w = window(@blackmanharris,N); w1 = window(@hamming,N); w2 = window(@gausswin,N,2.5); plot(1:N,[w,w1,w2]); axis([1 N 0 1]); legend('Blackman-Harris','Hamming','Gaussian'); See also bartlett, barthannwin, blackman, blackmanharris, bohmanwin, chebwin, gausswin, hamming, hann, kaiser, nuttallwin, parzenwin, rectwin, triang, tukeywin, wintool. Overloaded functions or methods (ones with the same name in other directories) help fdesign/window.m Reference page in Help browser doc window 2. >>N = 128; w = window(@rectwin,N); w1 = window(@bartlett,N); w2 = window(@hamming,N); plot(1:N,[w,w1,w2]); axis([1 N 0 1]); legend('矩形窗','Bartlett','Hamming'); 3. >>wvtool(w,w1,w2) 六． ts=0.01; N=20; t=0:ts:(N-1)*ts; x=2*sin(4*pi*t)+5*cos(6*pi*t); g=fft(x,N); y=abs(g)/100; figure(1):plot(0:2*pi/N:2*pi*(N-1)/N,y); grid; ts=0.01; N=30; t=0:ts:(N-1)*ts; x=2*sin(4*pi*t)+5*cos(6*pi*t); g=fft(x,N); y=abs(g)/100; figure(2):plot(0:2*pi/N:2*pi*(N-1)/N,y); grid; ts=0.01; N=50; t=0:ts:(N-1)*ts; x=2*sin(4*pi*t)+5*cos(6*pi*t); g=fft(x,N); y=abs(g)/100; figure(3):plot(0:2*pi/N:2*pi*(N-1)/N,y); grid; ts=0.01; N=100; t=0:ts:(N-1)*ts; x=2*sin(4*pi*t)+5*cos(6*pi*t); g=fft(x,N); y=abs(g)/100; figure(4):plot(0:2*pi/N:2*pi*(N-1)/N,y); grid; ts=0.01; N=150; t=0:ts:(N-1)*ts; x=2*sin(4*pi*t)+5*cos(6*pi*t); g=fft(x,N); y=abs(g)/100; figure(5):plot(0:2*pi/N:2*pi*(N-1)/N,y); grid; 實驗八 1． %沖激響應 >> clear; b=[1,3]; a=[1,3,2]; sys=tf(b,a); impulse(sys); 結果： %求零輸入響應 >> A=[1,3;0,-2]; B=[1;2]; Q=A\B Q = 4 -1 >> clear B=[1,3]; A=[1,3,2]; [a,b,c,d]=tf2ss(B,A) sys=ss(a,b,c,d); x0=[4;-1]; initial(sys,x0); grid; a = -3 -2 1 0 b = 1 0 c = 1 3 d = 0 2. %沖激響應 >> clear; b=[1,3]; a=[1,2,2]; sys=tf(b,a); impulse(sys) %求零輸入響應 >> A=[1,3;1,-2]; B=[1;2]; Q=A\B Q = 1.6000 -0.2000 >> clear B=[1,3]; A=[1,2,2]; [a,b,c,d]=tf2ss(B,A) sys=ss(a,b,c,d); x0=[1.6;-0.2]; initial(sys,x0); grid; a = -2 -2 1 0 b = 1 0 c = 1 3 d = 0 3. %沖激響應 >> clear; b=[1,3]; a=[1,2,1]; sys=tf(b,a); impulse(sys) %求零輸入響應 >> A=[1,3;1,-1]; B=[1;2]; Q=A\B Q = 1.7500 -0.2500 >> clear B=[1,3]; A=[1,2,1]; [a,b,c,d]=tf2ss(B,A) sys=ss(a,b,c,d); x0=[1.75;-0.25]; initial(sys,x0); grid; a = -2 -1 1 0 b = 1 0 c = 1 3 d = 0 二． >> clear; b=1; a=[1,1,1,0]; sys=tf(b,a); subplot(2,1,1); impulse(sys);title('沖擊響應'); subplot(2,1,2); step(sys);title('階躍響應'); t=0:0.01:20; e=sin(t); r=lsim(sys,e,t); figure; subplot(2,1,1); plot(t,e);xlabel('Time');ylabel('A');title('激勵信號'); subplot(2,1,2); plot(t,r);xlabel('Time');ylabel('A');title('響應信號'); 三． 1. >> clear; b=[1,3]; a=[1,3,2]; t=0:0.08:8; e=[exp(-3*t)]; sys=tf(b,a); lsim(sys,e,t); 2. >> clear; b=[1,3]; a=[1,2,2]; t=0:0.08:8; sys=tf(b,a); step(sys) 3． >> clear; b=[1,3]; a=[1,2,1]; t=0:0.08:8; e=[exp(-2*t)]; sys=tf(b,a); lsim(sys,e,t); Doc: 1. >> clear; B=[1]; A=[1,1,1]; sys=tf(B,A,-1); n=0:200; e=5+cos(0.2*pi*n)+2*sin(0.7*pi*n); r=lsim(sys,e); stem(n,r); 2. >> clear; B=[1,1,1]; A=[1,-0.5,-0.5]; sys=tf(B,A,-1); e=[1,zeros(1,100)]; n=0:100; r=lsim(sys,e); stem(n,r);