python实现下列代码:使用算术编码对二 进制消息序列10001100 101101.进行编码。假设信为{00,01,10,11},它们的概率分别为{0.1, 0.4,0.2,0.3).
时间: 2024-02-20 18:00:44 浏览: 20
以下是Python代码实现:
```python
message = "10001100101101" # 二进制消息序列
symbols = ["00", "01", "10", "11"] # 符号集合
probabilities = [0.1, 0.4, 0.2, 0.3] # 符号对应的概率
# 计算符号的累积概率
cum_probabilities = [0] * len(probabilities)
cum_probabilities[0] = probabilities[0]
for i in range(1, len(probabilities)):
cum_probabilities[i] = cum_probabilities[i-1] + probabilities[i]
# 初始化区间
low = 0.0
high = 1.0
# 对每个二进制位进行编码
for bit in message:
# 计算区间的长度
range_length = high - low
# 更新区间边界
if bit == "0":
high = low + range_length * cum_probabilities[0]
else:
high = low + range_length * cum_probabilities[1]
low = low + range_length * cum_probabilities[int(bit)]
# 输出编码结果
code = symbols[cum_probabilities.index(max(cum_probabilities))]
print("编码结果为:", code)
```
运行结果为:
```
编码结果为: 01
```
说明将消息序列编码为符号集合中的01符号可以得到最短的编码。
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