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License plate recognition technology research
Abstract£ºLicense plate recognition is one of the modern intelligent transportation system is an important part of a wide range of applications. It is technology-based digital image processing, pattern recognition, computer vision, vehicle camera captured images were analyzed, only every car license plate number, thus completing the identification process, its car security, relieve stress and other traffic from to a positive role. This paper introduces the principle of license plate recognition technology and design based on MATLAB license plate recognition, for a series of vehicle image preprocessing (gray, edge detection, corrosion, fill, morphological filtering) after the license plate characters split up, and finally split the data stored in the character and the character template matching. By implementing the above steps, the system will be able to complete the positioning of the vehicle license plate image segmentation and automatic license plate character recognition.
Key words£ºMATLAB£»image preprocessing; license plate location; character segmentation; character recognition
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4.3.1 ³ÌÐò·ÖÎö
I_new=zeros(size(I_final,1),size(I_final,2)); location_of_1=[];
for i=1:size(I_final,1) %ѰÕÒ¶þֵͼÏñÖа׵ĵãµÄλÖà for j=1:size(I_final,2) if I_final(i,j)==1; newlocation=[i,j];
location_of_1=[location_of_1;newlocation]; end end end
mini=inf;maxi=0;
for i=1:size(location_of_1,1)
%ѰÕÒËùÓа׵ãÖУ¬x×ø±êÓëy×ø±êµÄºÍ×î´ó£¬×îСµÄÁ½¸öµãµÄλÖà temp=location_of_1(i,1)+location_of_1(i,2); if temp
22
first_point=location_of_1(a,:); %ºÍ×îСµÄµãΪ³µÅƵÄ×óÉÏ½Ç last_point=location_of_1(b,:); %ºÍ×î´óµÄµãΪ³µÅƵÄÓÒÏÂ½Ç x1=first_point(1)+4; %×ø±êÖµÐÞÕý x2=last_point(1)-4; y1=first_point(2)+4; y2=last_point(2)-4; I_plate=I(x1:x2,y1:y2);
g_max=double(max(max(I_plate))); g_min=double(min(min(I_plate)));
T=round(g_max-(g_max-g_min)/3); % T Ϊ¶þÖµ»¯µÄãÐÖµ I_plate =im2bw (I_plate,T/256); subplot(3,2,5),imshow(I_plate); I_plate=bwareaopen(I_plate,20);
figure,imshow(I_plate),title('³µÅÆÌáÈ¡') %»³ö×îÖÕ³µÅÆ
4.3.2 ½á¹û·ÖÎö
ͼ4-3 ³µÅÆÌáȡͼƬ
¶¨Î»ºó³µÅÆÍ¼ÏñÊDzÊÉ«µÄ£¬»áÕ¼ÓýϴóµÄ´æ´¢¿Õ¼ä£¬¼ÓÖØ¼ÆËã»ú¸ºµ££¬ËùÒÔÒª¶ÔͼÏñ½øÐжþÖµ»¯ÒÔ¼°Â˲¨´¦Àí¡£ÕâÑù²ÅÓÐÖúÓÚ×Ö·û·Ö¸îµÄ½øÐС£Èçͼ4-3Ëùʾ
23
4.4 ×Ö·û·Ö¸î
´Ë²¿·ÖÊǽ«Ç°Ãæ·Ö¸î³öµÄ³µÅƵÄ7¸ö×Ö·û·Ö¸î³öÀ´£¬Æä¹ý³ÌÊÇ´Ó×óÏòÓÒÏñ°´ÁмÆËãÿһÁÐÖ®ºÍ£¬Ã»Óа׵ãµÄÁкÍΪ0£¬Óа׵ãµÄÁкͷÇÁ㣬ת»»ÎªÂß¼1£¬¼Ç¼ÏÂËùÓÐÁкÍÔÚ0Óë1ת»»µÄÁУ¬¼´ÎªÐèÒªÇиîµÄÁУ¬¹²ÓÐ14ÁУ¬¿ÉÇгö7¸ö×Ö·û¡£Çиî³öµ¥¸ö×Ö·ûºó£¬·ÅÈëchar_(i)ÖУ¬²¢Çиîµôÿ¸ö×Ö·ûµÄÉÏϵĿհ×ÇøÓò£¬Íê³É¾«È·Çи
4.4.1 ³ÌÐò·ÖÎö
X=[]; %ÓÃÀ´´æ·Åˮƽ·Ö¸îÏߵĺá×ø±ê flag=0;
for j=1:size(I_plate,2) sum_y=sum(I_plate(:,j));
if logical(sum_y)~=flag %ÁкÍÓб仯ʱ£¬¼Ç¼Ï´ËÁÐ X=[X j];
flag=logical(sum_y); end end figure
for n=1:7
char=I_plate(:,X(2*n-1):X(2*n)-1); %½øÐдַָî
for i=1:size(char,1) %ÕâÁ½¸öforÑ»·¶Ô·Ö¸î×Ö·ûµÄÉÏϽøÐвüô
if sum(char(i,:))~=0 top=i; break end end
for i=1:size(char,1)
if sum(char(size(char,1)-i,:))~=0 bottom=size(char,1)-i; break end
24
end
char=char(top:bottom,:); subplot(2,4,n);imshow(char);
char=imresize(char,[32,16],'nearest'); %¹éÒ»»¯Îª32*16µÄ´óС£¬ÒÔ±ãÄ£°åÆ¥Åä eval(strcat('Char_',num2str(n),'=char;')); %½«·Ö¸îµÄ×Ö·û·ÅÈëChar_iÖÐ end
4.4.2 ½á¹û·ÖÎö
ͼ4-4 ×Ö·û·Ö¸îͼÏñ
ÔÚÆû³µÅÆÕÕ×Ô¶¯Ê¶±ð¹ý³ÌÖУ¬×Ö·û·Ö¸îÓгÐǰÆôºóµÄ×÷Óã¬ËüÔÚǰÆÚÅÆÕÕ¶¨Î»µÄ»ù´¡ÉϽøÐÐ×Ö·ûµÄ·Ö¸î£¬È»ºóÔÙÀûÓ÷ָîµÄ½á¹û½øÐÐ×Ö·ûʶ±ð¡£Ò»°ã·Ö¸î³öÀ´µÄ×Ö·ûÒª½øÐнøÒ»²½µÄ´¦Àí£¬ÒÔÂú×ãÏÂÒ»²½×Ö·ûʶ±ðµÄÐèÒª£¬µ«ÊǶÔÓÚ³µÅƵÄʶ±ð£¬²¢²»ÐèҪ̫¶àµÄ´¦Àí¾ÍÒѾ¿ÉÒÔ´ïµ½Õýȷʶ±ðµÄÄ¿µÄ£¬ÔÚ´ËÖ»½øÐÐÁ˹éÒ»»¯´¦Àí£¬È»ºó½øÐкóÆÚ´¦Àí¡£ÓÉÓÚÎÒÃÇÖÆ×÷µÄÄ£°åÊÇ32*16ÏñËØµãµÄ¹æ¸ñ£¬ÎªÁË·½±ãºóÃæµÄÄ£°åÆ¥Å䣬ÎÒÃǾͽ«·Ö¸îµÄͼƬ½øÐÐ32*16ÏñËØµãµÄ¹éÒ»»¯´¦Àí£¬×îºó½á¹ûÈçͼ4-4Ëùʾ¡£
4.5 ×Ö·ûʶ±ð
Ä£°å¿âµÄºÏÀí½¨ÔìÊÇ×Ö·ûʶ±ð׼ȷµÄ¹Ø¼üÖ®Ò»£¬ËùÒÔÔÚ×Ö·ûʶ±ð֮ǰ±ØÐë°ÑÄ£°å¿â
25
ÉèÖúá£Æû³µÅÆÕÕµÄ×Ö·ûÒ»°ãÓÐ 7 ¸ö£¬´ó²¿·Ö³µÅƵÚһλÊǺº×Ö£¬Í¨³£´ú±í³µÁ¾ËùÊôÊ¡·Ý£¬»òÊǾüÖÖ¡¢¾¯±ðµÈÓÐÌØ¶¨º¬ÒåµÄ×Ö·û¼ò³Æ£»½ô½ÓÆäºóµÄΪ×ÖĸÓëÊý×Ö¡£³µÅÆ×Ö·ûʶ±ðÓëÒ»°ãÎÄ×Öʶ±ðÔÚÓÚËüµÄ×Ö·ûÊýÓÐÏÞ£¬ Ê®¸ö°¢À²®Êý×Ö0¡«9£¬ 24¸ö´óдӢÎÄ×Öĸ A¡«Z ÒÔ¼°Ïà¹ØµÄ³µÅÆÓúº×Ö£º¾©¡¢»¦¡¢ËÕ¡¢Ì¨¡¢¸Û¡¢°Ä¡¢¼×¡¢ÒÒ¡¢±û¡¢Ê¹¡¢Á졢ѧ¡¢ÊÔ¡¢¾³¡¢Ïû¡¢±ß¡¢¾¯µÈ£¬ÒÔ¼°ÐÂʽ¾üÅÆÖеĺº×ÖÄÏ¡¢À¼¡¢¹ã¡¢±±¡¢Éò¡¢¼Ã¡¢¿Õ¡¢º£µÈ¡£ËùÒÔ½¨Á¢×Ö·ûÄ£°å¿âÒ²¼«Îª·½±ã¡£½¨Á¢Ä£°åÊý¾Ý¿âʱҪ×÷Ϊģ°åµÄͼƬ½øÐÐͳһ´¦Àí£¬ËùÒÔ½«ÕâЩͼƬ¹éÒ»»¯Îª´óС32*16ÏñËØµãµÄ¹æ¸ñ¡£ÖÆ×÷³öµÄºº×ÖÄ£°å´æ´¢ÔÚÃüÃûΪchineseµÄÎļþ¼ÐÖУ¬×ÖĸÓëÊý×ÖµÄÄ£°å´æ´¢ÔÚÃüÃûΪcha&numµÄÎļþ¼ÐÖÐ
½ÓÏÂÀ´ÊǶÔÇ°Ãæ·Ö¸î³öµÄ×Ö·û½øÐÐʶ±ð£¬ÔËÓõÄÊÇÄ£°åÆ¥Åä×Ö·ûʶ±ðËã·¨£¬¹ý³ÌÊǰÑÇиî³öµÄ×Ö·ûÓë¿âÀïµÄºº×ÖºÍ×Ö·ûµÄÄ£°å×ö¼õ·¨ÔËË㣬ÕÒµ½²î±ðµã×îÉÙµÄÄ£°åΪ¶ÔӦģ°å£¬Êä³ö¸ÃÄ£°å¶ÔÓ¦µÄ×Ö·û£¬×îºóʶ±ð³ö³µÅÆ¡£
4.5.1 ³ÌÐò·ÖÎö char=[];
store1=strcat('¹ó','Çí','ÔÁ','Ïæ','¶õ','Íî','³','²Ø','¾©','ËÕ','ºÚ','¼ª','¼½','½ú','ÁÉ'); %´´½¨ºº×Öʶ±ðÄ£°å¿â for j=1:15
Im=Char_1;
Template=imread(strcat('chinese\\',num2str(j),'.jpg')); Template=im2bw(Template); Differ=Im-Template;
Compare(j)=sum(sum(abs(Differ))); end
index=find(Compare==(min(Compare))); char=[char store1(index)];
store2=strcat('A','B','C','D','E','F','G','H','J','K','L','M','M','N','P','Q','R'...
,'S','T','U','V','W','X','Y','Z','0','2','3','4','5','6','7','8','9'); %´´½¨×ÖĸÓëÊý×Öʶ±ðÄ£°å¿â
for i=2:7 for j=1:34
Im=eval(strcat('Char_',num2str(i)));
26
Template=imread(strcat('cha&num\\',num2str(j),'.jpg')); Template=im2bw(Template); Differ=Im-Template;
Compare(j)=sum(sum(abs(Differ))); end
index=find(Compare==(min(Compare))); char=[char store2(index)]; end
figure,imshow(I),title(strcat('³µÅÆÎª:',char));
4.5.2 ½á¹û·ÖÎö
ͼ4-5 ×Ö·ûʶ±ð½á¹ûͼÏñ
±¾ÎÄÒÔMATLAB R2009aΪʵÑéÆ½Ì¨£¬Ôڵõ½Õâ¸ö½á¹û֮ǰ£¬ÐèÒª¶Ô³µÅÆÍ¼Ïñ½øÐÐÔ¤´¦Àí¡¢³µÅƶ¨Î»¡¢³µÅÆ·Ö¸îµÈ´¦Àí¡£
ÔÚͼÏñ²É¼¯µÄ¹ý³ÌÖУ¬ÓÉÓÚÍâ½çµÄ¸ÉÈÅÈç¹âÏßµÈÒòËØÔÒòÒÔ¼°³µÖ÷ÔÚ³µÅÆÖÜΧµÄ×°ÊΣ¬»¹ÓÐÉú²ú³§¼Ò¶Ô³µÉíµÄµã׺ÈÝÒ׸ø³µÅƵĶ¨Î»Ôì³ÉºÜ´ó³Ì¶ÈµÄÓ°Ï죬Òò´ËÐèÒª¶ÔÔʼͼÏó½øÐÐʶ±ðǰµÄÔ¤´¦Àí¡£¶ÔÓÚ¹âÕÕÌõ¼þ²»ÀíÏëµÄͼÏ󣬿ÉÏȽøÐÐÒ»´ÎͼÏóÔöÇ¿´¦Àí£¬Ê¹µÃͼÏó»Ò¶È¶¯Ì¬·¶Î§À©Õ¹ºÍ¶Ô±È¶ÈÔöÇ¿£¬ÔÙ½øÐж¨Î»ºÍ·Ö¸î£¬ÕâÑù¿ÉÒÔÌá¸ß·Ö¸îµÄÕý
27
È·ÂÊ¡£ÓÉÓÚ³µÅƲɼ¯µÄÐÅÏ¢¶¼ÊÇЩ²ÊɫͼƬ£¬º¬ÓдóÁ¿µÄÊý¾ÝÐÅÏ¢£¬Òò´ËÎÒÃÇ»¹Òª¶ÔÆä½øÐлҶȻ¯´¦Àí¡£Í¼ÏñÖгµÁ¾ÅÆÕÕÊǾßÓбȽÏÏÔÖøÌØÕ÷µÄÒ»¿éͼÏóÇøÓò£¬Õâ´ËÌØÕ÷±íÏÖÔÚ£º½üËÆË®Æ½µÄ¾ØÐÎÇøÓò£»ÆäÖÐ×Ö·û´®¶¼Êǰ´Ë®Æ½·½ÏòÅÅÁеģ»ÔÚÕûÌåͼÏóÖеÄλÖýÏΪ¹Ì¶¨¡£ÕýÊÇÓÉÓÚÅÆÕÕͼÏóµÄÕâÐ©ÌØµã£¬ÔÙ¾¹ýÊʵ±µÄͼÏó±ä»»£¬ËüÔÚÕû·ùÖпÉÒÔÃ÷ÏԵسÊÏÖ³öÆä±ßÔµ£¬ÓÚÊÇ¶ÔÆä±ßÔµÌáÈ¡£¬´Ë´¦±ßÔµµÄÌáÈ¡²ÉÓõÄÊÇSobelËã×Ó¡£ËæÖ®½øÐж¨Î»¼°·Ö¸î»¹ÓÐʶ±ð¡£
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£¨2£© ²ÉÓò»Í¬µÄ±ßÔµ¼ì²âËã×Ó½«»áÊ¹ÅÆÕÕ×Ö·ûµÄ·Ö¸îʧ°Ü£¬µ¼ÖÂʶ±ð´íÎó£» £¨3£© ijЩ×Ö·û¾ßÓÐÏàËÆÐÔ£¬×Ö·ûʶ±ð½á¹û¿ÉÄÜ·¢Éú»ìÏýµÄÇé¿ö¡£
¾¡¹ÜÄ¿Ç°ÅÆÕÕ×Ö·ûµÄʶ±ðÂÊ»¹²»ÊǺÜÍêÃÀ£¬µ«ÊÇÖ»ÒªÔÚ·Ö¸î³öµÄ×Ö·ûµÄ´óС¡¢Î»ÖõĹéÒ»»¯£¬ÒÔ¼°³¢ÊÔÌáÈ¡·ÖÀàʶ±ðÄÜÁ¦¸üºÃµÄÌØÕ÷ÖµºÍÉè¼Æ·ÖÀàÆ÷µÈ»·½ÚÉÏÔÙÍêÉÆ£¬½øÒ»²½Ìá¸ßʶ±ðÂÊÊÇÍêÈ«¿ÉÐеġ£
28
5 ×ܽá
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(2)ѡȡºÏÊʵıßÔµ¼ì²âËã×Ó¼°¶Ô»Ò¶ÈͼÏñ½øÐбßÔµ¼ì²âµÄ·½·¨£» (3)ÈçºÎÔÚͼÏñÖж¨Î»³ö³µÅÆÎ»Öò¢´Ó¶¨Î»ºÃµÄ³µÅÆÍ¼ÏñÖÐÌáÈ¡³ö³µÅÆ£» (4)ÈçºÎ¶Ô³µÅÆ×Ö·û½øÐзָîºÍ×Ö·ûʶ±ð¡£
ÔÚ³µÁ¾ÅÆÕÕ×Ö·ûʶ±ðϵͳµÄÑо¿ÁìÓò£¬½ü¼¸ÄêÒѾ³öÏÖÁËÐí¶àÇÐʵ¿ÉÐеÄʶ±ð¼¼ÊõºÍ·½·¨£¬´ÓÕâЩм¼ÊõºÍ·½·¨ÖпÉÒÔ¿´µ½Á½¸öÃ÷ÏÔµÄÇ÷ÊÆ£ºÒ»Êǵ¥Ò»µÄÈ˹¤Ñ¡È¡ºÏÊʵÄËã·¨ºÍÆäËûÖ¸±êÒѾ²»ÄÜÈ¡µÃºÜºÃµÄ½á¹û¡£¶þÊdzµÅÆÊ¶±ðÖð½¥×ßÉÏÖÇÄÜ»¯µÄ¹ý³Ì£¬Í¨¹ýÖÇÄÜϵͳѡȡ²»Í¬µÄËã·¨½øÐÐ×Ô¶¯µÄ·ÖÎö²ÅÄܸü׼ȷµÄÓ¦¶Ô¸÷¸ö½Ç¶È¼°Î»ÖõijµÅÆÐÅϢʶ±ð¡£ËäÈ»±¾´ÎÉè¼Æ³öµÄ³µÅÆÊ¶±ð¼¼Êõ»¹´æÔںܶ಻×ãÖ®´¦£¬µ«ÊÇÎÒÔڴ˴εıÏÒµÉè¼ÆÖÐѧϰµ½Á˺ܶà֪ʶ£¬Ôö¼ÓÁËÎÒµÄѧϰÄÜÁ¦£¬Õâ¶ÔÎÒÀ´ËµÊǺܴóµÄ¶ÍÁ¶¡£
29
¸½Â¼
Éè¼Æ´úÂë I=imread('cell.jpg');
subplot(3,2,1);imshow(I), title('ÔʼͼÏñ'); I_gray=rgb2gray(I);
subplot(3,2,2),imshow(I_gray),title('»Ò¶ÈͼÏñ'); I_edge=edge(I_gray,'sobel');
subplot(3,2,3),imshow(I_edge),title('±ßÔµ¼ì²âºóͼÏñ'); se=[1;1;1];
I_erode=imerode(I_edge,se);
subplot(3,2,4),imshow(I_erode),title('¸¯Ê´ºó±ßԵͼÏñ'); se=strel('rectangle',[25,25]);
I_close=imclose(I_erode,se); %ͼÏñ±ÕºÏ¡¢Ìî³äͼÏñ subplot(3,2,5),imshow(I_close),title('Ìî³äºóͼÏñ');
I_final=bwareaopen(I_close,2000); %È¥³ý¾ÛÍŻҶÈֵСÓÚ2000µÄ²¿·Ö subplot(3,2,6),imshow(I_final),title('ÐÎ̬Â˲¨ºóͼÏñ'); I_new=zeros(size(I_final,1),size(I_final,2)); location_of_1=[];
for i=1:size(I_final,1) %ѰÕÒ¶þֵͼÏñÖа׵ĵãµÄλÖà for j=1:size(I_final,2) if I_final(i,j)==1; newlocation=[i,j];
location_of_1=[location_of_1;newlocation]; end end end
mini=inf;maxi=0;
for i=1:size(location_of_1,1)
%ѰÕÒËùÓа׵ãÖУ¬x×ø±êÓëy×ø±êµÄºÍ×î´ó£¬×îСµÄÁ½¸öµãµÄλÖà temp=location_of_1(i,1)+location_of_1(i,2);
30
if temp
first_point=location_of_1(a,:); last_point=location_of_1(b,:); x1=first_point(1)+4; x2=last_point(1)-4; y1=first_point(2)+4; y2=last_point(2)-4; I_plate=I(x1:x2,y1:y2);
g_max=double(max(max(I_plate))); g_min=double(min(min(I_plate)));
T=round(g_max-(g_max-g_min)/3); I_plate =im2bw (I_plate,T/256); subplot(3,2,5),imshow(I_plate); I_plate=bwareaopen(I_plate,20);
figure,imshow(I_plate),title('³µÅÆÌáÈ¡') X=[]; flag=0;
for j=1:size(I_plate,2) sum_y=sum(I_plate(:,j));
if logical(sum_y)~=flag X=[X j];
flag=logical(sum_y); end end figure
%ºÍ×îСµÄµãΪ³µÅƵÄ×óÉÏ½Ç %ºÍ×î´óµÄµãΪ³µÅƵÄÓÒÏÂ½Ç %×ø±êÖµÐÞÕý % T Ϊ¶þÖµ»¯µÄãÐÖµ %×îÖÕ³µÅÆ
%ÓÃÀ´´æ·Åˮƽ·Ö¸îÏߵĺá×ø±ê %ÁкÍÓб仯ʱ£¬¼Ç¼Ï´ËÁÐ 31
for n=1:7
char=I_plate(:,X(2*n-1):X(2*n)-1); %½øÐдַָî
for i=1:size(char,1) %ÕâÁ½¸öforÑ»·¶Ô·Ö¸î×Ö·ûµÄ½øÐвüô if sum(char(i,:))~=0 top=i; break end end
for i=1:size(char,1)
if sum(char(size(char,1)-i,:))~=0 bottom=size(char,1)-i; break end end
char=char(top:bottom,:); subplot(2,4,n);imshow(char);
char=imresize(char,[32,16],'nearest'); %¹éÒ»»¯Îª32*16µÄ´óС£¬ÒÔ±ãÄ£°åÆ¥Åä eval(strcat('Char_',num2str(n),'=char;')); %½«·Ö¸îµÄ×Ö·û·ÅÈëChar_iÖÐ end char=[];
store1=strcat('¹ó','Çí','ÔÁ','Ïæ','¶õ','Íî','³','²Ø','¾©','ËÕ','ºÚ','¼ª','¼½','½ú','ÁÉ'); for j=1:15
Im=Char_1;
Template=imread(strcat('chinese\\',num2str(j),'.jpg')); Template=im2bw(Template); Differ=Im-Template;
Compare(j)=sum(sum(abs(Differ))); end
index=find(Compare==(min(Compare))); char=[char store1(index)];
store2=strcat('A','B','C','D','E','F','G','H','J','K','L','M','M','N','P','Q','R'... ,'S','T','U','V','W','X','Y','Z','0','2','3','4','5','6','7','8','9'); for i=2:7
32
for j=1:34
Im=eval(strcat('Char_',num2str(i)));
Template=imread(strcat('cha&num\\',num2str(j),'.jpg')); Template=im2bw(Template); Differ=Im-Template;
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index=find(Compare==(min(Compare))); char=[char store2(index)]; end
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[2] Íõè´.»ùÓÚMATLABµÄ³µÅÆÊ¶±ðÑо¿[D]. ÉϺ££ºÉϺ£½»Í¨´óѧ£¬2009 [3] ³ÂÏÍÇà.»ùÓÚ¼ÆËã»úÊÓ¾õµÄ³µÅƶ¨Î»Ñо¿[D]. Ìì½ò£ºÌì½ò´óѧ£¬2007
[4] Ðì»Ô.»ùÓÚMATLABʵÏÖÆû³µ³µÅÆ×Ô¶¯Ê¶±ðϵͳ[J]. µçÄÔ֪ʶÓë¼¼Êõ£¬2010£¬06(17)£º43-48 [5] ÖìÐã²ý.Áõ·å£¬ºú¶°£®Êý×ÖͼÏñ´¦Àí½Ì³Ì[M]. ±±¾©£ºÇ廪´óѧ³ö°æÉ磬2011 [6] Ð콨»ª.ͼÏñ´¦ÀíÓë·ÖÎö[M]. ±±¾©£º¿ÆÑ§³ö°æÉ磬1992
[7] ÍõºéÔª.MATLABÓïÑÔ¼°ÆäÔÚµç×ÓÐÅÏ¢¹¤³ÌÖеÄÓ¦ÓÃ[M]. ±±¾©£ºÇ廪´óѧ³ö°æÉ磬2004 [8] Áõ¸Õ.MATLABÊý×ÖͼÏñ´¦Àí[M]. ±±¾©£º»úе¹¤Òµ³ö°æÉ磬2010
[9] Ç®º£¾ü.»ùÓÚMATLABͼÏñÔöÇ¿ÖÐÖ±·½Í¼¾ùºâ»¯µÄÓ¦ÓÃ[J]. µçÄÔ¿ª·¢ÓëÓ¦Óã¬2011£¬24(11)£º47-49
[0] Ò¶³¿ÖÞµÈ.³µÁ¾ÅÆÕÕ×Ö·ûʶ±ðϵͳ[J]. ¼ÆËã»úϵͳӦÓã¬2000,34(5): 10-13Ò³
[1] ÐíÂ×»Ô¡¢³ÂÑÜÆ½¡¢Ð޿ƶ¦.»ùÓÚͼÏñ´¦ÀíµÄ¾²Ì¬³µÅÆÊ¶±ð¼¼Êõ[J]. ½Î÷Àí¹¤´óѧѧ±¨£¬2011£¬32(1)£º58-62
[2] ÕÅÖÙ¿µ.Êý×ÖͼÏñ´¦Àí¼°Ó¦ÓÃ[M]. ±±¾©£º¹ú·À¹¤Òµ³ö°æÉ磬1985
[3] Çþ¹úÏé.»ùÓÚDSP¼¼ÊõµÄÖÇÄÜ·ÀµÁ±¨¾¯ÏµÍ³[D]. ÄϾ©£ºÄϾ©Àí¹¤´óѧ£¬2007£º24-25Ò³ [4] º«Ïþ¾ü,Êý×ÖͼÏñ´¦Àí¼¼ÊõÓëÓ¦ÓÃ[M]. ±±¾©£ºµç×Ó¹¤Òµ³ö°æÉ磬2009
[5] ¹¨ÉùÈØ£¬Áõ´¿Æ½£¬ÍõÇ¿.Êý×ÖͼÏñ´¦ÀíÓë·ÖÎö[M]. ±±¾©£ºÇ廪´óѧ³ö°æÉ磬2006
[6] Ԭ־࣬ÅËÏþ¶.³µÁ¾ÅÆÕÕ¶¨Î»µÄËã·¨Ñо¿[J]. À¥Ã÷Àí¹¤´óѧѧ±¨£¬2001£¬26(2)£º 56-60 [7] ÓàËÉìÏ£¬ÖÜÔ´»ª£¬ÕÅÈð.Êý×ÖͼÏñ´¦Àí[M]. ÉϺ££ºÉϺ£½»Í¨´óѧ³ö°æÉ磬2007 [8] ÖÓçó£¬ÅË껣¬ºÎƽ.ģʽʶ±ð[M]. Î人£ºÎ人´óѧ³ö°æÉ磬2006
[9] ÕÅÒý£¬ÅËÔÆº×.ÃæÏò³µÁ¾ÅÆÕÕ×Ö·ûʶ±ðµÄÔ¤´¦ÀíËã·¨[J]. ¼ÆËã»úÓ¦ÓÃÑо¿£¬1999£¬23(7)£º 4-9
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