信息论作业全

1、信息论作业信号与信息处理专业姚艳红(200511547)要求：处理图像lena.bmp才画出各图像的灰度层次的分布图，并对256位和16位信源数据进行霍夫曼编码1.程序如下：clear;%提取原图像的数据x=imread('lena.bmp');%一.显示原图像figure;subplot(2,2,1)imshow(x);x1=double(x);%计算图像的嫡y=zeros(1,256);forp=1:256*256;y(x1(p)+1)=y(x1(p)+1)+1;endy1=y;y=y/(256*256);h=0;forq=1:256ify(q)>0h=h-y(q)*

2、log2(y(q);endend%二.用四位来表示图像，即将后四位屏蔽掉，(变为零)y2=zeros(1,256);forp=1:256;forq=1:256;x2(p,q)=x1(p,q)-rem(x1(p,q),16);endendforp=1:256*256;y2(x2(p)+1)=y2(x2(p)+1)+1;%分布endsubplot(2,2,2);imshow(uint8(x2);%三.也是四位表不'y3=zeros(1,256);forp=1:256;forq=1:256;x3(p,q)=x2(p,q)/16;endendforp=1:256*256;y3(x3(p)+1)

3、=y3(x3(p)+1)+1;%分布endsubplot(2,2,3)imshow(uint8(x3);%四.四位表示y4=zeros(1,256);forp=1:256;forq=1:256;x4(p,q)=255-x3(p,q);endendforp=1:256*256;y4(x4(p)+1)=y4(x4(p)+1)+1;%分布endsubplot(2,2,4)imshow(uint8(x4);%画出四个图象中灰度层次的分布图figure;subplot(2,2,1)stem(y1,'.');subplot(2,2,2)stem(y2,'.');subplo

4、t(2,2,3)stem(y3,'.');subplot(2,2,4)stem(y4,'.');%霍夫曼编码%对256个灰度层次的信源数据进行编码map1=huffman(double(y1)%对16个灰度层次的信源数据进行编码y5=zeros(1,16);j=1;fori=1:256ify2(i)>0;y5(j)=y2(i);j=j+1;endendmap2=huffman(double(y5)2.运行结果：(1)计算原图像的嫡为：h=7.3482(2)所显示的图像：(3)各图像中各个灰度层次的概率分布图1500010000400500020030020

5、0300150001500010000100000123456789101112131415161718192021222324(4)16位(后四位被屏蔽掉的数据)霍夫曼编码:0,100100001,1,10010T2,00013,1111,400105,110,6,10117,01018,011,9,0011,10,1000,11,1110,12,10011,13,1001001,14,10010001,15,100100000,(5)256位霍夫曼编码:,11110100011001100000000000000000000000000000000000000000000000000,11

6、110100011001100000000000000000000000000000000000000000000000001,1111010001100110000000000000000000000000000000000000000000000001,111101000110011000000000000000000000000000000000000000000000001,11110100011001100000000000000000000000000000000000000000000001,11110100011001100000000000000000000000000000

7、00000000000000001,111101000110011000000000000000000000000000000000000000000001,11110100011001100000000000000000000000000000000000000000001,1111010001100110000000000000000000000000000000000000000001,111101000110011000000000000000000000000000000000000000001,11110100011001100000000000000000000000000000

8、000000000001,1111010001100110000000000000000000000000000000000000001,111101000110011000000000000000000000000000000000000001,11110100011001100000000000000000000000000000000000001,1111010001100110000000000000000000000000000000000001,111101000110011000000000000000000000000000000000001,11110100011001100

9、000000000000000000000000000000001,1111010001100110000000000000000000000000000000001,111101000110011000000000000000000000000000000001,11110100011001100000000000000000000000000000001,1111010001100110000000000000000000000000000001,111101000110011000000000000000000000000000001,11110100011001100000000000

10、000000000000000001,1111010001100110000000000000000000000000001,111101000110011000000000000000000000000001,11110100011001100000000000000000000000001,1111010001100110000000000000000000000001,111101000110011000000000000000000000001,11110100011001100000000000000000000001,11110100011001100000000000000000

11、00001,111101000110011000000000000000000001,11110100011001101,1111010001100111,1111010001100100,11110100011011,1111010001110,11110100011110,0000110011110,11110100010,11010110001,01111011011,0000110010,0010010101,100101111,110101101,001101000,25262728293031323334353637383940414243444546474849505152535

12、455565758596061626364656667,10101011,00000110,01000110,01111010,1100011,0001100,0100100,0100001,0110001,0101101,0100111,0011000,0010110,0010100,1111100,1101100,1010110,01111111,01010010,01001010,00010001,00001010,68,00000011,697071727374757677787980818283848586878889909192939495969798991001011021031

13、04105106107108109110111,11110011,00000010,11100100,11010010,11001100,11010000,11100111,11100101,11010111,11001011,11111011,11110110,00011110,00000111,11110010,00010110,11111100,11111101,11100110,00001101,00001011,11111010,00111100,00110011,00100100,01100101,00110010,01010000,01101100,01001100,011101

14、00,1011011,1101101,0000000,0101111,0110111,0010101,0001101,0001010,1110001,1001110,1010111,1000010,112,1000011,113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155,01101000,01010011,01101101,1001010,1010001,1011010,1001111,

15、1011111,1100100,1110110,1100111,1111111,1110100,0000100,0010111,0011011,0111110,100011,100110,0111001,0011100,0010000,1110111,0000010,1111000,0000111,0010001,0100010,0101100,0110101,100100,100010,0111011,0101010,0101011,0001110,0011111,0010011,0111000,0110011,0111100,101001,100000,156,0110000,157158

16、159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199,0011101,0001001,1101110,1101010,1010000,01110101,1010100,01000111,01111110,01101001,00111101,00010000,00010111,01010001,1011000,01100100,01000000,01011100,01001011,00110101,000

17、11111,11100001,11000010,11000000,10010110,010011010,001101001,010111011,010011011,010000010,001001011,10110010,10110011,10111100,10111000,10111011,11101011,11011111,11000011,11010001,11000100,11001010,11000001,200,10111010,20120220320420520620720820921021121221321421521621721821922022122222322422522

18、6227228229230231232233234235236237238239240241242243244,11000101,10101010,10111101,11010011,10111001,11011110,11101010,11110101,11110111,11100000,11001101,011110111,010111010,000011000,111101001,100101110,0100000110,0111101100,0010010100,1111010000,1101011001,01111011010,01000001111,00001100110,010000011100,000011001110,010000011101,110101100001,110101100000,11110100011111,0000110011111,11110100011000,111