different-order entropy coding

6 次查看(过去 30 天)
Keyvan
Keyvan 2015-7-23
Dear all, I am doing a project about compressing text files using different-order entropies. I am done with the calculating 1-order entropy P(xn), 2-order entropy (P(xn|xn-1)) and 3-order entropy (P(xn|xn-1,xn-2)). Here are my entropies 4.2019, 3.2661 and 2.379, respectively for a sample input text from Smaple text . In the second step, I wrote another code to encode 1-order entropy using Huffman Coding. It works and Decoding is giving me the same input. However, I am little bit confused for the 2-order and 3-order entropy. After calculating entropy, what is the next step? Here are my symbols for the 2-order entropy.
,
-
.
:
;
A
B
E
F
G
H
I
L
M
O
S
T
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
u
v
w
x
y
,
,,
,-
,.
,:
,;
,A
,B
,E
,F
,G
,H
,I
,L
,M
,O
,S
,T
,a
,b
,c
,d
,e
,f
,g
,h
,i
,j
,k
,l
,m
,n
,o
,p
,q
,r
,s
,t
,u
,v
,w
,x
,y
-
-,
--
-.
-:
-;
-A
-B
-E
-F
-G
-H
-I
-L
-M
-O
-S
-T
-a
-b
-c
-d
-e
-f
-g
-h
-i
-j
-k
-l
-m
-n
-o
-p
-q
-r
-s
-t
-u
-v
-w
-x
-y
.
.,
.-
..
.:
.;
.A
.B
.E
.F
.G
.H
.I
.L
.M
.O
.S
.T
.a
.b
.c
.d
.e
.f
.g
.h
.i
.j
.k
.l
.m
.n
.o
.p
.q
.r
.s
.t
.u
.v
.w
.x
.y
:
:,
:-
:.
::
:;
:A
:B
:E
:F
:G
:H
:I
:L
:M
:O
:S
:T
:a
:b
:c
:d
:e
:f
:g
:h
:i
:j
:k
:l
:m
:n
:o
:p
:q
:r
:s
:t
:u
:v
:w
:x
:y
;
;,
;-
;.
;:
;;
;A
;B
;E
;F
;G
;H
;I
;L
;M
;O
;S
;T
;a
;b
;c
;d
;e
;f
;g
;h
;i
;j
;k
;l
;m
;n
;o
;p
;q
;r
;s
;t
;u
;v
;w
;x
;y
A
A,
A-
A.
A:
A;
AA
AB
AE
AF
AG
AH
AI
AL
AM
AO
AS
AT
Aa
Ab
Ac
Ad
Ae
Af
Ag
Ah
Ai
Aj
Ak
Al
Am
An
Ao
Ap
Aq
Ar
As
At
Au
Av
Aw
Ax
Ay
B
B,
B-
B.
B:
B;
BA
BB
BE
BF
BG
BH
BI
BL
BM
BO
BS
BT
Ba
Bb
Bc
Bd
Be
Bf
Bg
Bh
Bi
Bj
Bk
Bl
Bm
Bn
Bo
Bp
Bq
Br
Bs
Bt
Bu
Bv
Bw
Bx
By
E
E,
E-
E.
E:
E;
EA
EB
EE
EF
EG
EH
EI
EL
EM
EO
ES
ET
Ea
Eb
Ec
Ed
Ee
Ef
Eg
Eh
Ei
Ej
Ek
El
Em
En
Eo
Ep
Eq
Er
Es
Et
Eu
Ev
Ew
Ex
Ey
F
F,
F-
F.
F:
F;
FA
FB
FE
FF
FG
FH
FI
FL
FM
FO
FS
FT
Fa
Fb
Fc
Fd
Fe
Ff
Fg
Fh
Fi
Fj
Fk
Fl
Fm
Fn
Fo
Fp
Fq
Fr
Fs
Ft
Fu
Fv
Fw
Fx
Fy
G
G,
G-
G.
G:
G;
GA
GB
GE
GF
GG
GH
GI
GL
GM
GO
GS
GT
Ga
Gb
Gc
Gd
Ge
Gf
Gg
Gh
Gi
Gj
Gk
Gl
Gm
Gn
Go
Gp
Gq
Gr
Gs
Gt
Gu
Gv
Gw
Gx
Gy
H
H,
H-
H.
H:
H;
HA
HB
HE
HF
HG
HH
HI
HL
HM
HO
HS
HT
Ha
Hb
Hc
Hd
He
Hf
Hg
Hh
Hi
Hj
Hk
Hl
Hm
Hn
Ho
Hp
Hq
Hr
Hs
Ht
Hu
Hv
Hw
Hx
Hy
I
I,
I-
I.
I:
I;
IA
IB
IE
IF
IG
IH
II
IL
IM
IO
IS
IT
Ia
Ib
Ic
Id
Ie
If
Ig
Ih
Ii
Ij
Ik
Il
Im
In
Io
Ip
Iq
Ir
Is
It
Iu
Iv
Iw
Ix
Iy
L
L,
L-
L.
L:
L;
LA
LB
LE
LF
LG
LH
LI
LL
LM
LO
LS
LT
La
Lb
Lc
Ld
Le
Lf
Lg
Lh
Li
Lj
Lk
Ll
Lm
Ln
Lo
Lp
Lq
Lr
Ls
Lt
Lu
Lv
Lw
Lx
Ly
M
M,
M-
M.
M:
M;
MA
MB
ME
MF
MG
MH
MI
ML
MM
MO
MS
MT
Ma
Mb
Mc
Md
Me
Mf
Mg
Mh
Mi
Mj
Mk
Ml
Mm
Mn
Mo
Mp
Mq
Mr
Ms
Mt
Mu
Mv
Mw
Mx
My
O
O,
O-
O.
O:
O;
OA
OB
OE
OF
OG
OH
OI
OL
OM
OO
OS
OT
Oa
Ob
Oc
Od
Oe
Of
Og
Oh
Oi
Oj
Ok
Ol
Om
On
Oo
Op
Oq
Or
Os
Ot
Ou
Ov
Ow
Ox
Oy
S
S,
S-
S.
S:
S;
SA
SB
SE
SF
SG
SH
SI
SL
SM
SO
SS
ST
Sa
Sb
Sc
Sd
Se
Sf
Sg
Sh
Si
Sj
Sk
Sl
Sm
Sn
So
Sp
Sq
Sr
Ss
St
Su
Sv
Sw
Sx
Sy
T
T,
T-
T.
T:
T;
TA
TB
TE
TF
TG
TH
TI
TL
TM
TO
TS
TT
Ta
Tb
Tc
Td
Te
Tf
Tg
Th
Ti
Tj
Tk
Tl
Tm
Tn
To
Tp
Tq
Tr
Ts
Tt
Tu
Tv
Tw
Tx
Ty
a
a,
a-
a.
a:
a;
aA
aB
aE
aF
aG
aH
aI
aL
aM
aO
aS
aT
aa
ab
ac
ad
ae
af
ag
ah
ai
aj
ak
al
am
an
ao
ap
aq
ar
as
at
au
av
aw
ax
ay
b
b,
b-
b.
b:
b;
bA
bB
bE
bF
bG
bH
bI
bL
bM
bO
bS
bT
ba
bb
bc
bd
be
bf
bg
bh
bi
bj
bk
bl
bm
bn
bo
bp
bq
br
bs
bt
bu
bv
bw
bx
by
c
c,
c-
c.
c:
c;
cA
cB
cE
cF
cG
cH
cI
cL
cM
cO
cS
cT
ca
cb
cc
cd
ce
cf
cg
ch
ci
cj
ck
cl
cm
cn
co
cp
cq
cr
cs
ct
cu
cv
cw
cx
cy
d
d,
d-
d.
d:
d;
dA
dB
dE
dF
dG
dH
dI
dL
dM
dO
dS
dT
da
db
dc
dd
de
df
dg
dh
di
dj
dk
dl
dm
dn
do
dp
dq
dr
ds
dt
du
dv
dw
dx
dy
e
e,
e-
e.
e:
e;
eA
eB
eE
eF
eG
eH
eI
eL
eM
eO
eS
eT
ea
eb
ec
ed
ee
ef
eg
eh
ei
ej
ek
el
em
en
eo
ep
eq
er
es
et
eu
ev
ew
ex
ey
f
f,
f-
f.
f:
f;
fA
fB
fE
fF
fG
fH
fI
fL
fM
fO
fS
fT
fa
fb
fc
fd
fe
ff
fg
fh
fi
fj
fk
fl
fm
fn
fo
fp
fq
fr
fs
ft
fu
fv
fw
fx
fy
g
g,
g-
g.
g:
g;
gA
gB
gE
gF
gG
gH
gI
gL
gM
gO
gS
gT
ga
gb
gc
gd
ge
gf
gg
gh
gi
gj
gk
gl
gm
gn
go
gp
gq
gr
gs
gt
gu
gv
gw
gx
gy
h
h,
h-
h.
h:
h;
hA
hB
hE
hF
hG
hH
hI
hL
hM
hO
hS
hT
ha
hb
hc
hd
he
hf
hg
hh
hi
hj
hk
hl
hm
hn
ho
hp
hq
hr
hs
ht
hu
hv
hw
hx
hy
i
i,
i-
i.
i:
i;
iA
iB
iE
iF
iG
iH
iI
iL
iM
iO
iS
iT
ia
ib
ic
id
ie
if
ig
ih
ii
ij
ik
il
im
in
io
ip
iq
ir
is
it
iu
iv
iw
ix
iy
j
j,
j-
j.
j:
j;
jA
jB
jE
jF
jG
jH
jI
jL
jM
jO
jS
jT
ja
jb
jc
jd
je
jf
jg
jh
ji
jj
jk
jl
jm
jn
jo
jp
jq
jr
js
jt
ju
jv
jw
jx
jy
k
k,
k-
k.
k:
k;
kA
kB
kE
kF
kG
kH
kI
kL
kM
kO
kS
kT
ka
kb
kc
kd
ke
kf
kg
kh
ki
kj
kk
kl
km
kn
ko
kp
kq
kr
ks
kt
ku
kv
kw
kx
ky
l
l,
l-
l.
l:
l;
lA
lB
lE
lF
lG
lH
lI
lL
lM
lO
lS
lT
la
lb
lc
ld
le
lf
lg
lh
li
lj
lk
ll
lm
ln
lo
lp
lq
lr
ls
lt
lu
lv
lw
lx
ly
m
m,
m-
m.
m:
m;
mA
mB
mE
mF
mG
mH
mI
mL
mM
mO
mS
mT
ma
mb
mc
md
me
mf
mg
mh
mi
mj
mk
ml
mm
mn
mo
mp
mq
mr
ms
mt
mu
mv
mw
mx
my
n
n,
n-
n.
n:
n;
nA
nB
nE
nF
nG
nH
nI
nL
nM
nO
nS
nT
na
nb
nc
nd
ne
nf
ng
nh
ni
nj
nk
nl
nm
nn
no
np
nq
nr
ns
nt
nu
nv
nw
nx
ny
o
o,
o-
o.
o:
o;
oA
oB
oE
oF
oG
oH
oI
oL
oM
oO
oS
oT
oa
ob
oc
od
oe
of
og
oh
oi
oj
ok
ol
om
on
oo
op
oq
or
os
ot
ou
ov
ow
ox
oy
p
p,
p-
p.
p:
p;
pA
pB
pE
pF
pG
pH
pI
pL
pM
pO
pS
pT
pa
pb
pc
pd
pe
pf
pg
ph
pi
pj
pk
pl
pm
pn
po
pp
pq
pr
ps
pt
pu
pv
pw
px
py
q
q,
q-
q.
q:
q;
qA
qB
qE
qF
qG
qH
qI
qL
qM
qO
qS
qT
qa
qb
qc
qd
qe
qf
qg
qh
qi
qj
qk
ql
qm
qn
qo
qp
qq
qr
qs
qt
qu
qv
qw
qx
qy
r
r,
r-
r.
r:
r;
rA
rB
rE
rF
rG
rH
rI
rL
rM
rO
rS
rT
ra
rb
rc
rd
re
rf
rg
rh
ri
rj
rk
rl
rm
rn
ro
rp
rq
rr
rs
rt
ru
rv
rw
rx
ry
s
s,
s-
s.
s:
s;
sA
sB
sE
sF
sG
sH
sI
sL
sM
sO
sS
sT
sa
sb
sc
sd
se
sf
sg
sh
si
sj
sk
sl
sm
sn
so
sp
sq
sr
ss
st
su
sv
sw
sx
sy
t
t,
t-
t.
t:
t;
tA
tB
tE
tF
tG
tH
tI
tL
tM
tO
tS
tT
ta
tb
tc
td
te
tf
tg
th
ti
tj
tk
tl
tm
tn
to
tp
tq
tr
ts
tt
tu
tv
tw
tx
ty
u
u,
u-
u.
u:
u;
uA
uB
uE
uF
uG
uH
uI
uL
uM
uO
uS
uT
ua
ub
uc
ud
ue
uf
ug
uh
ui
uj
uk
ul
um
un
uo
up
uq
ur
us
ut
uu
uv
uw
ux
uy
v
v,
v-
v.
v:
v;
vA
vB
vE
vF
vG
vH
vI
vL
vM
vO
vS
vT
va
vb
vc
vd
ve
vf
vg
vh
vi
vj
vk
vl
vm
vn
vo
vp
vq
vr
vs
vt
vu
vv
vw
vx
vy
w
w,
w-
w.
w:
w;
wA
wB
wE
wF
wG
wH
wI
wL
wM
wO
wS
wT
wa
wb
wc
wd
we
wf
wg
wh
wi
wj
wk
wl
wm
wn
wo
wp
wq
wr
ws
wt
wu
wv
ww
wx
wy
x
x,
x-
x.
x:
x;
xA
xB
xE
xF
xG
xH
xI
xL
xM
xO
xS
xT
xa
xb
xc
xd
xe
xf
xg
xh
xi
xj
xk
xl
xm
xn
xo
xp
xq
xr
xs
xt
xu
xv
xw
xx
xy
y
y,
y-
y.
y:
y;
yA
yB
yE
yF
yG
yH
yI
yL
yM
yO
yS
yT
ya
yb
yc
yd
ye
yf
yg
yh
yi
yj
yk
yl
ym
yn
yo
yp
yq
yr
ys
yt
yu
yv
yw
yx
yy
.
Thank you

回答(0 个)

类别

Help CenterFile Exchange 中查找有关 Large Files and Big Data 的更多信息

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by