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資源簡介

循環(huán)譜估計(jì) 譜相關(guān)估計(jì) 時(shí)間平滑F(xiàn)FT積累方法 FAM matlab函數(shù) 可直接調(diào)用

資源截圖

代碼片段和文件信息

function?[dalfaNNpf0alfa0SCD]?=?SCD_FAM(IfsdfM)
%?輸入
%?I:信號實(shí)部
%?fs:信號采樣率
%?df:頻率分辨率
%?M?:不確定量

%?輸出
%?dalfa:循環(huán)頻率分辨率
%?N?:觀測時(shí)間內(nèi)離散取樣總數(shù)
%?Np:第一個(gè)FFT的點(diǎn)數(shù)N‘是靠近且大于fs/df的2的冪次方
%?f0:頻率軸
%?alfa0:循環(huán)頻率軸
%?SCD:循環(huán)譜
dalfa?=?df/M;???????????????????????%?循環(huán)頻率分辨率
x?=?I;??????????????????????????????%?實(shí)信號序列
Np?=?pow2(nextpow2(fs/df));?????????%?第一個(gè)FFT的點(diǎn)數(shù)N‘是靠近且大于fs/df的2的冪次方????????????????????????????????????
L?=?Np/4;???????????????????????????%?滑動(dòng)因子,為了避免估計(jì)中的混疊現(xiàn)象和循環(huán)泄漏應(yīng)該小于等于四分之一的時(shí)間窗口Np。???????????????????????????????????
P?=?pow2(nextpow2(fs/dalfa/L));?????%?用一個(gè)P點(diǎn)FFT的傅里葉變換取代計(jì)算復(fù)解調(diào)序列乘積的平均
N?=?P*L;????????????????????????????%?觀測時(shí)間內(nèi)離散取樣總數(shù)

if?length(x)????x(N)?=?0;
elseif?length?(x)>N
????x?=?x(1:N);????????????????????%觀測時(shí)間內(nèi)離散取樣的總數(shù)
end

NN?=?(P-1)*L+Np;
xx?=?x;
xx(NN)?=?0;
xx?=?xx(:);
X?=?zeros(NpP);
for?k?=?0:P-1
????X(:k+1)?=?xx(k*L+1:k*L+Np);????%將數(shù)據(jù)按時(shí)域滑動(dòng)L點(diǎn)保存大小為窗口的大小Np
end

a?=?hamming?(Np);
XW?=?diag(a)*X;?%數(shù)據(jù)削度

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%?復(fù)解調(diào)的計(jì)算——第一次Np點(diǎn)FFT的計(jì)算

XF1?=?fft(XW);????????????????????????%滑動(dòng)Np點(diǎn)FFT
XF1?=?fftshift(XF1);??????????????????%將fft的主值區(qū)間變換至[-pipi]
XF1?=?[XF1(:P/2+1:P)?XF1(:1:P/2)];??%第9列-16列和第1列-8列交換——f

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E?=?zeros(NpP);
for?k?=?-Np/2:Np/2-1?????????????????????????????%分別左右搬移循環(huán)頻率的一半
????for?m?=?0:P-1
????????E(k+Np/2+1?m+1)?=?exp(-i*2*pi*k*m*L/Np);%頻移量
????end
end
XD?=?XF1.*E;?????????????????????????????????????%對Np點(diǎn)FFT的輸出進(jìn)行頻移
XD?=?conj(XD‘);??????????????????????????????????%計(jì)算每一小段譜的共軛

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