使用M函数:mat2huff,huff2mat,实现huffman编码和解码.请使用matlab实现
时间: 2024-05-04 11:19:03 浏览: 301
下面是mat2huff和huff2mat函数的代码实现,以及一个简单的示例:
```matlab
function huff = mat2huff(mat)
% MAT2HUFF converts a matrix into a Huffman encoding
% huff = mat2huff(mat)
% mat: input matrix
% huff: output Huffman encoding
% Calculate symbol probabilities
symbols = unique(mat);
prob = histc(mat(:), symbols) / numel(mat);
% Build Huffman tree
[~, ~, code] = hufftree(prob);
% Encode matrix using Huffman code
huff = cell(size(mat));
for i = 1:numel(mat)
idx = symbols == mat(i);
huff{i} = code{idx};
end
huff = cat(1, huff{:});
end
function mat = huff2mat(huff, symbols)
% HUFF2MAT decodes a Huffman encoding into a matrix
% mat = huff2mat(huff, symbols)
% huff: input Huffman encoding
% symbols: vector of symbols used to generate Huffman code
% mat: output matrix
% Build Huffman tree
prob = histc(symbols(:), symbols) / numel(symbols);
[~, idx, ~] = hufftree(prob);
% Decode Huffman code using tree
mat = zeros(size(huff));
currnode = idx(end);
for i = 1:numel(huff)
if huff(i) == '0'
currnode = idx(currnode, 1);
else
currnode = idx(currnode, 2);
end
if isempty(idx(currnode, 1)) && isempty(idx(currnode, 2))
mat(i) = symbols(currnode);
currnode = idx(end);
end
end
mat = reshape(mat, size(huff, 1), []);
end
% Example usage
mat = [1 2 3; 3 2 1];
huff = mat2huff(mat);
mat2 = huff2mat(huff, unique(mat));
assert(isequal(mat, mat2));
```
在这个示例中,我们将一个2x3的矩阵编码为Huffman编码,然后解码回原始矩阵。mat2huff函数将矩阵转换为Huffman编码,huff2mat函数将Huffman编码解码为矩阵。
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