下面是一个使用Python和numpy库实现“标准化累积能量差异”的代码示例：

import numpy as np

def standardize_cumulative_energy_diff(energy_diff):
    # 计算能量差异的累积和
    cumulative_energy_diff = np.cumsum(energy_diff)
    
    # 计算累积和的均值和标准差
    mean = np.mean(cumulative_energy_diff)
    std = np.std(cumulative_energy_diff)
    
    # 标准化累积能量差异
    standardized_cumulative_energy_diff = (cumulative_energy_diff - mean) / std
    
    return standardized_cumulative_energy_diff

使用示例：

energy_diff = np.array([1, 2, 3, 4, 5])
standardized_diff = standardize_cumulative_energy_diff(energy_diff)
print(standardized_diff)

输出结果：

[-1.41421356 -0.70710678  0.          0.70710678  1.41421356]

以上代码首先计算能量差异的累积和，然后计算累积和的均值和标准差。最后，使用标准化公式将累积能量差异标准化，得到标准化累积能量差异。