信息论作业全.docx
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信息论作业全.docx
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信息论作业全
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,并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);
%计算图像的熵
y=zeros(1,256);
forp=1:
256*256;
y(x1(p)+1)=y(x1(p)+1)+1;
end
y1=y;
y=y/(256*256);
h=0;
forq=1:
256
ify(q)>0
h=h-y(q)*log2(y(q));
end
end
%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);
end
end
forp=1:
256*256;
y2(x2(p)+1)=y2(x2(p)+1)+1;%分布
end
subplot(2,2,2);
imshow(uint8(x2));
%三....也是四位表示
y3=zeros(1,256);
forp=1:
256;
forq=1:
256;
x3(p,q)=x2(p,q)/16;
end
end
forp=1:
256*256;
y3(x3(p)+1)=y3(x3(p)+1)+1;%分布
end
subplot(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);
end
end
forp=1:
256*256;
y4(x4(p)+1)=y4(x4(p)+1)+1;%分布
end
subplot(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,'.');
subplot(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:
256
ify2(i)>0;
y5(j)=y2(i);
j=j+1;
end
end
map2=huffman(double(y5))
2.运行结果:
(1)计算原图像的熵为:
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
(4)16位(后四位被屏蔽掉的数据)霍夫曼编码:
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'100100001'
'100101'
'000'
'1111'
'0010'
'110'
'101'
'010'
'011'
'0011'
'1000'
'1110'
'10011'
'1001001'
'10010001'
'100100000'
(5)256位霍夫曼编码:
0
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'11110100011001100000000000000000000000000000000000000000000000000'
'11110100011001100000000000000000000000000000000000000000000000001'
'1111010001100110000000000000000000000000000000000000000000000001'
'111101000110011000000000000000000000000000000000000000000000001'
'11110100011001100000000000000000000000000000000000000000000001'
'1111010001100110000000000000000000000000000000000000000000001'
'111101000110011000000000000000000000000000000000000000000001'
'11110100011001100000000000000000000000000000000000000000001'
'1111010001100110000000000000000000000000000000000000000001'
'111101000110011000000000000000000000000000000000000000001'
'11110100011001100000000000000000000000000000000000000001'
'1111010001100110000000000000000000000000000000000000001'
'111101000110011000000000000000000000000000000000000001'
'11110100011001100000000000000000000000000000000000001'
'1111010001100110000000000000000000000000000000000001'
'111101000110011000000000000000000000000000000000001'
'11110100011001100000000000000000000000000000000001'
'1111010001100110000000000000000000000000000000001'
'111101000110011000000000000000000000000000000001'
'11110100011001100000000000000000000000000000001'
'1111010001100110000000000000000000000000000001'
'111101000110011000000000000000000000000000001'
'11110100011001100000000000000000000000000001'
'1111010001100110000000000000000000000000001'
'111101000110011000000000000000000000000001'
'11110100011001100000000000000000000000001'
'1111010001100110000000000000000000000001'
'111101000110011000000000000000000000001'
'11110100011001100000000000000000000001'
'1111010001100110000000000000000000001'
'111101000110011000000000000000000001'
'11110100011001101'
'1111010001100111'
'1111010001100100'
'11110100011011'
'1111010001110'
'11110100011110'
'0000110011110'
'11110100010'
'11010110001'
'01111011011'
'0000110010'
'0010010101'
'100101111'
'110101101'
'001101000'
'10101011'
'00000110'
'01000110'
'01111010'
'1100011'
'0001100'
'0100100'
'0100001'
'0110001'
'0101101'
'0100111'
'0011000'
'0010110'
'0010100'
'1111100'
'1101100'
'1010110'
'01111111'
'01010010'
'01001010'
'00010001'
'00001010'
'00000011'
'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'
'01110100'
'1011011'
'1101101'
'0000000'
'0101111'
'0110111'
'0010101'
'0001101'
'0001010'
'1110001'
'1001110'
'1010111'
'1000010'
'1000011'
'01101000'
'01010011'
'01101101'
'1001010'
'1010001'
'1011010'
'1001111'
'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'
'0110000'
'0011101'
'0001001'
'1101110'
'1101010'
'1010000'
'01110101'
'1010100'
'01000111'
'01111110'
'01101001'
'00111101'
'00010000'
'00010111'
'01010001'
'1011000'
'01100100'
'01000000'
'01011100'
'01001011'
'00110101'
'00011111'
'11100001'
'11000010'
'11000000'
'10010110'
'010011010'
'001101001'
'010111011'
'010011011'
'010000010'
'001001011'
'10110010'
'10110011'
'10111100'
'10111000'
'10111011'
'11101011'
'11011111'
'11000011'
'11010001'
'11000100'
'11001010'
'11000001'
'10111010'
'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'
'1111010001100101'
'11110100011001100000000000000000001'
'1111010001101010'
'1111010001100110000000000000000001'
'1111010001101011'
'1111010001101000'
'111101000110011000000000000000001'
'11110100011001100000000000000001'
'1111010001100110000000000000001'
'111101000110011000000000000001'
'11110100011001100000000000001'
'1111010001100110000000000001'
'111101000110011000000000001'
'1111010001101001'
'11110100011001100000000001'
'1111010001100110000000001'
'111101000110011000000001'
'11110100011001100000001'
'1111010001100110000001'
'111101000110011000001'
'11110100011001100001'
'1111010001100110001'
'111101000110011001'
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