#!/usr/bin/env python
# coding: utf-8

# In[42]:


get_ipython().run_line_magic('matplotlib', 'inline')
import numpy as np
import matplotlib.pyplot as plt
x=np.array([0.,0,0,2,4,6,4,2,0,0,0])
plt.stem(x)


# In[43]:


y=x*0
y[0]=1/3*(x[0]+x[1]+x[2])
y[1]=1/3*(x[1]+x[2]+x[3])


# In[44]:


for ii in range(5):
    print(ii)


# In[45]:


for ii in range(len(x)-2):
    y[ii]=1/3.*(x[ii]+x[ii+1]+x[ii+2])
    print(y[ii])


# In[14]:


plt.stem(x,'r')
plt.stem(y,'g')


# In[ ]: