0.4325 0.3879 0.2735 0.1368 0.0274 0.0274 0.0313 0.0098 0.0098
. 0.4326 0.3910 0.2735 0.1378 0.0273 0.0276 0.0313 0.0098 0.0098
0 0 0 0 0 0 0 0 0
. 0 -1.5708 0 1.5708 0 1.5708 0 1.5707 0
, . angle(exp(-j*pi/2)) => -p/2, - -p/2 +p/2 . , ( 4.4).
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4.4
4.2.3 s (t)
:
(4.3)
(4.3) - cosobsh(t,Um,Uo,Sigma) t . randn(length(t),1), : 16 , , ,
[Ash10,Psh10,Ssh10]=Fourier(@cosobsh,256,16,2,1,0.057);
- Fourier(@signal,Np,Ng,Um,Uo,sigma) Ash10 Psh10 , Ssh10 , - signal, Np Ng . Um, Uo, sigma - signal.
:
0.4325 0.3879 0.2735 0.1368 0.0274 0.0274 0.0313 0.0098 0.0098
s = D 0.4326 0.3882 0.2737 0.1361 0.0277 0.0275 0.0317 0.0101 0.0096
s =10D 0.4333 0.3903 0.2748 0.1301 0.0309 0.0288 0.0353 0.0141 0.0084
0 0 0 0 0 0 0 0 0
s = D 0.0101 0.0096 0.0132 0.0055 0.0053 0.0076 0.0036 0.0671 0.0313
s =10D 0 -0.0079 0.0127 0.0050 -0.0013 -0.0979 0.1344 0.4989 0.3650
() , . 4.5 ( 10 ) . , ( ) .
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3.5
sigma 10 0.0077 0.0549, 1.8 % 13.1 % .
4.2.4
s(t) (-1,1). -1 1, :
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(4.4)
T= 2.
(4.4) - cosinob(t,Um,T,Uo) t ( 4.6). .
Tchebysh(fname,Np,Ng,varargin) [A,S,dS]=Tchebysh(@cosinob,256,16,2,2,1);
| function [A,S,dS]=Tchebysh(fname,Np,Ng,varargin) % [A,S,dS]=Tchebysh(fname,Np,Ng,Par) | |
| t=linspace(-1,1,Np); s=feval(fname,t,varargin{:}); dt=t(8)-t(7); ct=tchebort(Ng,t); at=ct*s*dt; A=at; x=sqrt(1-t.*t); figure(1) subplot(311) stem(0:Ng,at) for i=0:Ng tc(i+1,:)=tcheb(i,t); end | tc1=tc(2:Ng+1,:); at1=at(2:Ng+1,1); S=at1'*tc1; S=S+at(1); subplot(312) plot(t,s,t,S) dS=s(:)-S(:); subplot(3,1,3) plot(t,s,t,dS*10) Err=std(dS) OtnErr=Err/sqrt(sum(s.^2)/... length(s)) |
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4.6 -
N = 100 D = 0.0263 à 6.4 %
N = 256 D = 0.0257 à 6.2 %
N = 512 D = 0.0255 à 6.1 %
N=100 0.1402 0.0000 -0.2681 -0.0000 0.2335 0.0000 -0.1830 -0.0000 0.1255
N=256 0.1403 0.0000 -0.2683 -0.0000 0.2336 0.0000 -0.1829 -0.0000 0.1253
N=512 0.1403 0.0000 -0.2683 -0.0000 0.2336 0.0000 -0.1829 0.0000 0.1253
(N = 100, 256, 512) , 35 , , .
(-1,1) - cosinobtsm(2,2,1,-0.5). - .
N = 256 D = 0.0257 à 6.2 % ,
N = 256 D = 0.0171 à 4.1 % .
. 0.1403 0.0000 -0.2683 -0.0000 0.2336 0.0000 -0.1829 -0.0000 0.1253
. 0.1657 -0.1712 -0.1397 0.2852 -0.1504 -0.0833 0.1753 -0.0852 -0.0371
, 1.5 .
(-1,1) - cosinobtsh(2,2,1,sigma). sigma ( ) D256 10D256 . 4.7.
N = 256 D256 = 0.0257 à 6.2 % ,
N = 256 D1 = 0.0258 à 6.2 % + (s = D256);
N = 256 D2 = 0.0520 à 10.1 % + (s = 10D256).
. 0.1403 0.0000 -0.2683 -0.0000 0.2336 0.0000 -0.1829 -0.0000 0.1253
s = D256 0.1410 -0.0023 -0.2671 0.0001 0.2369 0.0005 -0.1812 -0.0004 0.1243
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s=10D256 0.1473 -0.0232 -0.2568 0.0009 0.2672 0.0050 -0.1657 -0.0043 0.1146
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4.7 -
( ) . 10 1.6 .
