gistfile1.py

import pywt

data = [1, 3, 4, 1, 2, 5, 3, 2]

a2, d2, d1 = pywt.wavedec(data, 'db1', level=2)


a1 = pywt.upcoef('a', a2, 'db1', level=1) + \
     pywt.upcoef('d', d2, 'db1', level=1)

a = pywt.upcoef('a', a1, 'db1', level=1) + \
    pywt.upcoef('d', d1, 'db1', level=1)

print a


a1 = pywt.idwt(a2, None, 'db1') + \ # None is treated as zero-array
     pywt.idwt(None, d2, 'db1')

a = pywt.idwt(a1, None, 'db1') + \
    pywt.idwt(None, d1, 'db1')

print a

##

a = pywt.upcoef('a', a2, 'db1', level=2) + \
    pywt.upcoef('d', d2, 'db1', level=2) + \
    pywt.upcoef('d', d1, 'db1', level=1)

print a


a = pywt.idwt(pywt.idwt(a2, None, 'db1'), None, 'db1') + \
    pywt.idwt(pywt.idwt(None, d2, 'db1'), None, 'db1') + \
    pywt.idwt(None, d1, 'db1')

print a