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(
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er
e
t
h
er
e
is
a
n
ee
d
to
ac
h
iev
e
a
h
i
g
h
er
s
p
ee
d
o
f
o
p
er
atio
n
h
o
w
e
v
er
f
ie
ld
p
r
o
g
r
a
m
m
ab
le
g
a
te
ar
r
a
y
s
(
FP
G
As)
also
p
r
o
v
id
e
a
s
u
itab
le
a
lter
n
ati
v
e
to
ASI
C
d
u
e
to
t
h
e
ad
v
e
n
t
o
f
n
e
w
tec
h
n
o
lo
g
ies
t
h
at
h
av
e
r
ed
u
ce
d
d
elay
ti
m
es
o
f
FP
G
As
an
d
th
e
av
a
ilab
ilit
y
o
f
p
o
w
er
f
u
l s
y
n
th
e
s
is
to
o
ls
.
T
h
er
e
ar
e
tw
o
m
ai
n
d
esi
g
n
i
n
g
en
v
ir
o
n
m
e
n
ts
f
o
r
i
m
p
le
m
en
ta
tio
n
o
f
d
ig
ita
l
FIR
f
ilter
s
;
d
ig
i
tal
s
ig
n
al
p
r
o
ce
s
s
o
r
(
DSP
)
-
b
ased
an
d
FP
GA
-
b
ased
s
o
l
u
tio
n
s
.
T
r
ad
i
tio
n
al
s
o
l
u
tio
n
s
ar
e
b
ased
o
n
m
icr
o
p
r
o
ce
s
s
o
r
s
,
m
icr
o
co
n
tr
o
ller
s
an
d
D
SP
d
e
v
ices,
w
h
er
ea
s
FP
GAs
p
r
o
v
id
e
d
esig
n
f
le
x
ib
ili
t
y
a
n
d
h
ar
d
war
e
p
ar
allelis
m
b
y
b
r
ea
k
in
g
th
e
p
ar
ad
ig
m
o
f
s
eq
u
en
t
ial
ex
ec
u
tio
n
f
o
r
h
i
g
h
s
p
e
ed
ap
p
licatio
n
s
[
8
]
.
Fo
r
ef
f
ec
tiv
e
i
m
p
le
m
e
n
tatio
n
o
f
co
m
p
u
tatio
n
all
y
in
te
n
s
iv
e
ap
p
licatio
n
s
h
a
v
in
g
n
o
n
s
t
an
d
ar
d
alg
o
r
ith
m
s
,
th
e
d
esi
g
n
er
m
a
y
f
i
n
d
th
a
t
m
ap
p
in
g
th
e
e
n
tire
ap
p
licatio
n
o
n
FP
G
A
s
is
t
h
e
o
n
l
y
o
p
tio
n
.
Mo
r
eo
v
er
FP
GA
s
o
f
f
er
d
es
ig
n
r
e
u
s
e,
an
d
b
etter
p
er
f
o
r
m
a
n
ce
t
h
an
a
s
o
f
t
w
ar
e
s
o
lu
tio
n
m
ap
p
ed
o
n
a
DSP
[
9
]
.
I
n
r
ec
o
n
f
i
g
u
r
ed
s
y
s
te
m
s
,
FP
G
As
p
r
o
v
id
e
cu
s
to
m
h
ar
d
w
ar
e
s
o
l
u
ti
o
n
s
i
n
m
a
n
y
h
i
g
h
b
a
n
d
w
id
th
s
i
g
n
al
p
r
o
ce
s
s
i
n
g
ap
p
licatio
n
s
.
T
h
e
m
u
ltip
lier
s
ar
e
an
in
teg
r
al
p
ar
t
in
FIR
s
tr
u
ctu
r
e
s
an
d
th
e
s
e
u
s
e
a
lar
g
e
p
ar
t
o
f
th
e
ch
ip
ar
ea
.
T
h
is
li
m
it
s
t
h
e
n
u
m
b
er
o
f
p
r
o
ce
s
s
in
g
ele
m
e
n
ts
(
P
E
)
av
ailab
le
o
n
t
h
e
c
h
ip
to
r
ea
lize
a
h
ig
h
est
o
r
d
er
o
f
f
ilter
.
Si
m
i
lar
l
y
,
f
o
r
DA
-
b
ased
(
m
u
l
tip
lier
less
)
i
m
p
le
m
e
n
tatio
n
o
f
FIR
f
i
lter
s
,
th
e
m
e
m
o
r
y
r
eq
u
ir
e
m
e
n
t
i
n
cr
ea
s
e
s
ex
p
o
n
en
t
iall
y
w
i
th
th
e
f
ilter
o
r
d
er
.
Hen
ce
t
h
e
co
m
p
le
x
it
y
o
f
FIR
i
m
p
le
m
e
n
tatio
n
g
r
o
w
s
with
th
e
f
ilter
o
r
d
er
an
d
th
e
p
r
ec
is
io
n
o
f
co
m
p
u
t
a
tio
n
;
t
h
er
ef
o
r
e
t
h
e
r
ea
l
-
ti
m
e
r
ea
lizatio
n
o
f
t
h
ese
f
i
lter
s
w
i
t
h
d
esire
d
le
v
el
o
f
ac
cu
r
ac
y
is
a
c
h
alle
n
g
in
g
tas
k
[
6
]
.
2.
DIGIT
AL
F
I
L
T
E
R
S
2
.
1
.
T
y
pes
o
f
Dig
it
a
l F
ilte
rs
R
ab
in
er
[
1
0
]
h
as
d
is
tin
g
u
is
h
e
d
th
e
d
ig
ital
f
ilter
s
t
y
p
es
b
y
t
h
e
w
a
y
th
e
s
e
ar
e
r
ea
lized
f
r
o
m
th
eir
f
i
lter
ch
ar
ac
ter
is
tic
s
.
Fin
ite
-
d
u
r
atio
n
i
m
p
u
l
s
e
-
r
e
s
p
o
n
s
e
(
FIR):
I
n
ca
s
e
o
f
FIR
f
ilter
s
th
e
d
u
r
at
io
n
o
f
th
e
f
ilter
i
m
p
u
ls
e
r
esp
o
n
s
e
,
is
f
i
n
ite
i.e
.
(
1
)
,
(
2
)
(
3
)
I
n
f
i
n
ite
-
d
u
r
atio
n
i
m
p
u
l
s
e
-
r
esp
o
n
s
e
(
I
I
R
)
:
I
n
ca
s
e
o
f
I
I
R
f
ilter
s
t
h
e
d
u
r
at
io
n
o
f
th
e
f
ilter
i
m
p
u
ls
e
r
esp
o
n
s
e
,
is
in
f
in
i
te;
i.e
.
,
th
er
e
ex
is
t
s
n
o
f
i
n
ite
v
a
lu
e
s
o
f
eit
h
er
o
r
.
2
.
1
.
1
.
Rec
urs
iv
e
Rea
liza
t
io
n
R
ec
u
r
s
iv
e
r
ea
lizatio
n
d
escr
ib
es
th
e
w
a
y
h
o
w
an
I
I
R
o
r
FIR
is
r
ea
lized
.
T
h
e
f
ilter
o
u
tp
u
t
,
is
o
b
tain
ed
in
ter
m
s
o
f
p
ast
f
ilt
er
o
u
tp
u
ts
as
w
ell
a
s
in
ter
m
s
o
f
p
ast
an
d
p
r
esen
t
f
ilter
in
p
u
t
s
.
T
h
u
s
t
h
e
o
u
tp
u
t o
f
a
r
ec
u
r
s
i
v
e
r
ea
lizatio
n
ca
n
b
e
w
r
i
tten
a
s
(
4
)
2
.
1
.
2
.
No
nrec
urs
iv
e
Rea
liza
t
io
n
No
n
r
ec
u
r
s
i
v
e
r
ea
lizatio
n
m
ea
n
s
t
h
at
o
n
l
y
th
e
p
ast
a
n
d
p
r
esen
t
i
n
p
u
t
s
ar
e
u
s
ed
to
g
et
th
e
cu
r
r
en
t
f
ilter
o
u
tp
u
t
y
(
n
)
;
i.e
.
,
p
r
ev
io
u
s
o
u
t
p
u
ts
ar
e
n
o
t
u
s
ed
to
g
e
n
er
ate
t
h
e
c
u
r
r
en
t
f
ilter
o
u
tp
u
t
.
T
h
is
r
ea
lizatio
n
ca
n
b
e
w
r
itte
n
as
(
5
)
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
J
E
C
E
Vo
l.
7
,
No
.
4
,
A
u
g
u
s
t
2017
:
1
8
7
4
–
1
8
8
1
1876
T
h
e
r
ea
lizatio
n
o
f
b
o
th
FIR
f
ilter
s
an
d
I
I
R
f
i
lter
s
ca
n
b
e
p
er
f
o
r
m
ed
u
s
i
n
g
n
o
n
r
ec
u
r
s
i
v
e
an
d
r
ec
u
r
s
i
v
e
m
et
h
o
d
s
[
1
1
]
,
[
1
2
]
.
Ho
w
ev
er
it
is
w
o
r
th
to
m
en
t
io
n
h
er
e
t
h
a
t,
u
s
u
all
y
n
o
n
r
ec
u
r
s
i
v
e
r
ea
liza
tio
n
s
o
f
FIR
f
ilter
s
an
d
r
ec
u
r
s
i
v
e
r
ea
lizatio
n
s
o
f
I
I
R
f
il
ter
s
a
r
e
m
o
s
t e
f
f
icie
n
t a
n
d
ar
e
in
g
en
er
all
y
u
s
ed
.
2
.
2
.
Nee
d f
o
r
F
P
G
A
I
m
p
le
m
ent
a
t
io
n
I
n
t
h
e
p
r
ese
n
t
s
ce
n
ar
io
th
e
r
e
is
n
ee
d
o
f
h
i
g
h
s
p
ee
d
,
lo
w
o
v
er
h
ea
d
a
n
d
lo
w
co
s
t
f
o
r
t
h
e
i
m
p
le
m
en
ta
tio
n
o
f
a
n
y
d
ig
ita
l
cir
cu
it.
Kee
p
in
g
i
n
v
ie
w
o
f
D
SP
ar
ith
m
etic
r
elate
d
s
u
p
p
o
r
t,
m
a
n
y
FP
G
A
f
a
m
ilies
p
r
o
v
id
e
f
a
s
t
-
ca
r
r
y
c
h
a
in
s
(
Xili
n
x
Vir
te
x
,
A
lter
a
F
L
E
X)
th
at
allo
w
lar
g
e
b
it
w
id
t
h
f
ast ad
d
er
s
,
w
it
h
o
u
t
th
e
u
s
e
o
f
ca
r
r
y
lo
o
k
-
ah
ea
d
d
e
co
d
er
s
.
T
h
is
DSP
ar
ith
m
etic
s
u
p
p
o
r
t
h
elp
s
to
i
m
p
le
m
e
n
t
m
u
ltip
l
y
-
ac
cu
m
u
late
s
(
MA
C
s
)
r
elate
d
o
p
er
atio
n
s
at
a
v
er
y
h
ig
h
s
p
ee
d
.
I
n
th
e
DSP
h
ar
d
w
ar
e
d
esig
n
,
h
ar
d
w
ar
e
d
escr
ip
tio
n
lan
g
u
ag
es
(
HD
L
)
ar
e
m
o
r
e
p
r
ef
er
ab
ly
u
s
ed
th
a
n
g
r
ap
h
ical
d
e
s
ig
n
e
n
tr
ie
s
as
H
DL
b
a
s
ed
en
tr
ie
s
h
elp
s
“
co
d
e
r
eu
s
e
“
in
a
m
u
ch
b
etter
w
a
y
t
h
a
n
g
r
ap
h
ical
d
esig
n
en
tr
ies.
T
h
e
te
x
t
u
al
e
n
v
ir
o
n
m
e
n
t
is
p
r
ef
er
r
ed
d
u
e
to
b
etter
alg
o
r
ith
m
ic
co
n
tr
o
l
o
f
d
esi
g
n
an
d
t
h
e
av
ailab
ilit
y
o
f
a
n
u
m
b
er
o
f
d
es
ig
n
s
t
y
les.
Mo
r
eo
v
er
,
n
o
w
a
d
a
y
s
d
ev
i
ce
s
ar
e
b
ased
o
n
a
d
if
f
er
en
t
s
tr
u
c
tu
r
e
(
d
ep
en
d
i
n
g
o
n
t
h
e
s
p
ec
if
i
c
ap
p
licatio
n
)
f
o
r
ea
ch
g
e
n
er
ati
o
n
o
f
d
ev
ices
f
u
r
th
er
s
u
b
d
iv
id
ed
in
to
f
a
m
ilie
s
w
it
h
ea
ch
f
a
m
il
y
h
av
i
n
g
d
if
f
er
en
t
f
ea
t
u
r
es.
I
n
Xil
in
x
t
h
er
e
ar
e
h
ig
h
er
p
er
f
o
r
m
a
n
ce
Vir
te
x
d
ev
ice
an
d
lo
w
er
-
co
s
t
Sp
ar
tan
d
ev
ices.
Si
m
ilar
l
y
A
lter
a
h
a
s
h
ig
h
p
er
f
o
r
m
an
ce
Stra
tix
d
ev
ice
a
n
d
lo
w
er
-
co
s
t
C
y
clo
n
e
d
e
v
ices.
Vir
tex
an
d
Stra
ti
x
b
o
th
h
a
v
e
s
p
ec
ialized
o
f
f
er
in
g
s
in
t
h
e
e
m
b
ed
d
ed
,
d
ig
ita
l
s
i
g
n
al
p
r
o
ce
s
s
i
n
g
,
an
d
h
i
g
h
b
an
d
w
id
th
p
r
o
ce
s
s
in
g
ar
ea
s
.
So
,
m
an
y
FP
G
A
f
a
m
ilies
p
r
o
v
id
e
th
e
b
est DSP
co
m
p
lex
it
y
a
n
d
m
ax
i
m
u
m
s
p
ee
d
.
2
.
3
.
Sy
s
t
o
lic
F
I
R
Appl
ica
t
io
ns
Ku
n
g
a
n
d
L
ei
s
er
s
o
n
[
1
3
]
h
av
e
r
ep
o
r
ted
s
y
s
to
lic
s
y
s
te
m
co
n
s
i
s
tin
g
o
f
a
n
ar
r
a
y
o
f
p
r
o
ce
s
s
in
g
ele
m
e
n
t
s
(
t
y
p
icall
y
m
u
ltip
lier
-
ac
cu
m
u
la
to
r
ch
ip
s
)
in
a
p
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1
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eq
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ts
ar
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ex
p
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Ma
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lab
w
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k
s
p
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eq
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f
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1
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5
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ar
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Eq
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ir
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f
F
IR
f
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ter
182
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a
m
p
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re
q
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Hz
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to
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5.
SI
M
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M
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m
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d
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FIR
f
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if
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f
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.
T
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FI
R
f
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is
i
m
p
le
m
e
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ted
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Vir
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6
;
c
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f
f
1
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p
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s
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m
Ge
n
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/Si
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l
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k
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m
e
n
t.
S
y
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Ge
n
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ato
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ased
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iler
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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8
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F
P
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mp
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n
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tio
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f H
ig
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er F
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r
p
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h
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1879
T
h
e
r
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n
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th
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ig
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ter
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y
ap
p
l
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g
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g
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T
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Gen
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6.
RE
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L
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S AN
D
D
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N
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q
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en
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r
esp
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s
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tp
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o
f
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th
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esi
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b
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f
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s
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m
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s
co
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s
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w
n
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n
f
ig
u
r
e
6
&
7
.
Af
ter
co
m
p
ar
i
n
g
th
e
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o
m
th
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w
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s
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th
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t
th
e
r
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s
i
m
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m
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ets
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e
s
p
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f
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s
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e
p
ass
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d
s
to
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t
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er
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s
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th
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3
,
3
6
5
an
d
4
0
9
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r
e
d
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n
ed
a
n
d
th
eir
r
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n
s
e
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t
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n
al
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h
e
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ed
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s
ar
e
s
y
n
t
h
e
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ized
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d
ar
e
i
m
p
le
m
en
ted
.
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h
e
r
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lt
s
f
o
r
d
ev
ice
u
tili
za
tio
n
ar
e
s
u
m
m
ar
ized
in
tab
le
2
.
T
h
e
m
ax
i
m
u
m
o
p
er
atin
g
f
r
eq
u
e
n
c
y
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h
iev
ea
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le
w
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h
s
y
n
t
h
esized
ar
ch
itec
tu
r
es i
s
g
i
v
en
i
n
tab
le
3
.
T
ab
le
2
.
Dev
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Utilizatio
n
S
u
m
m
ar
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O
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d
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o
f
F
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r
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70
Evaluation Warning : The document was created with Spire.PDF for Python.
I
SS
N
:
2
0
8
8
-
8708
I
J
E
C
E
Vo
l.
7
,
No
.
4
,
A
u
g
u
s
t
2017
:
1
8
7
4
–
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8
8
1
1880
T
ab
le
3
.
T
im
i
n
g
R
ep
o
r
t o
f
Desig
n
ed
FIR Fi
lter
P
o
st
-
P
A
R
S
t
a
t
i
c
T
i
mi
n
g
O
r
d
e
r
o
f
F
i
l
t
e
r
(N)
M
i
n
i
m
u
m
p
e
r
i
o
d
*
(
n
s)
M
a
x
i
m
u
m
o
p
e
r
a
t
i
n
g
f
r
e
q
u
e
n
c
y
(
M
H
z
)
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a
x
i
m
u
m
p
a
t
h
d
e
l
a
y
f
r
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m/
t
o
a
n
y
n
o
d
e
(
n
s)
1
8
2
3
.
3
4
9
2
9
8
.
5
9
7
2
.
3
7
8
2
7
3
3
.
9
8
6
2
5
0
.
8
7
8
2
.
1
5
0
3
6
5
4
.
0
3
0
2
4
8
.
1
3
9
1
.
9
9
9
4
0
9
5
.
4
3
0
1
8
4
.
1
6
2
2
.
7
1
3
*
T
h
e
mi
n
i
mu
m
p
e
r
i
o
d
st
a
t
i
st
i
c
a
ss
u
m
e
s
a
l
l
si
n
g
l
e
c
y
c
l
e
d
e
l
a
y
s.
7.
CO
NCLU
SI
O
N
Hig
h
er
o
r
d
er
FIR
f
ilter
s
ar
e
s
u
cc
es
s
f
u
ll
y
d
es
ig
n
ed
a
n
d
i
m
p
le
m
e
n
ted
u
p
to
a
n
o
r
d
er
o
f
4
0
9
.
T
h
eir
o
u
tp
u
t
r
esp
o
n
s
e
to
a
n
o
r
m
a
ll
y
(
Gau
s
s
ian
)
d
is
tr
ib
u
ted
r
an
d
o
m
s
ig
n
al
i
s
o
b
s
er
v
ed
o
n
b
u
f
f
er
e
d
FF
T
s
co
p
es.
T
h
e
o
u
tp
u
t
r
esp
o
n
s
e
o
f
f
ilter
s
d
esig
n
ed
in
FD
A
T
o
o
l
b
ased
d
i
g
ital
f
ilter
an
d
Xilin
x
b
ased
FIR
co
m
p
iler
ar
e
co
m
p
ar
ed
.
I
t
i
s
o
b
s
er
v
ed
f
r
o
m
t
w
o
s
p
ec
tr
u
m
s
co
p
es
t
h
at
r
esp
o
n
s
e
o
f
f
il
ter
s
d
esi
g
n
ed
in
FD
A
T
o
o
l
b
ased
d
ig
ital
f
ilter
an
d
Xil
in
x
b
ased
FIR
co
m
p
iler
ar
e
s
i
m
ilar
an
d
b
o
th
m
ee
ts
th
e
s
p
ec
if
icat
io
n
s
i
n
th
e
p
as
s
b
an
d
an
d
s
to
p
b
an
d
s
.
Fro
m
th
e
Xil
in
x
d
esig
n
s
u
m
m
ar
y
it
is
o
b
s
er
v
ed
t
h
at
all
s
i
g
n
als
ar
e
co
m
p
letel
y
r
o
u
ted
.
T
h
e
i
m
p
ac
t
o
f
h
i
g
h
er
o
r
d
er
FIR
f
ilter
o
n
t
h
e
r
eso
u
r
ce
u
tili
za
tio
n
o
f
t
h
e
FP
GA
a
n
d
it’s
t
h
e
m
ax
i
m
u
m
o
p
er
atin
g
f
r
eq
u
e
n
c
y
is
i
n
v
e
s
ti
g
ated
f
r
o
m
t
h
e
r
es
u
lt
s
p
r
esen
ted
i
n
T
ab
le
2
an
d
T
a
b
le
3
.
I
t is o
b
s
er
v
ed
t
h
at
d
ev
i
ce
u
tili
za
tio
n
o
f
s
lice
r
eg
is
ter
s
,
s
lice
s
L
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L
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b
ased
f
lip
-
f
lo
p
s
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d
DSP
4
8
E
1
s
p
air
g
o
e
s
o
n
in
cr
ea
s
in
g
w
it
h
th
e
i
n
cr
ea
s
e
o
f
o
r
d
er
w
h
er
e
as
th
e
b
o
n
d
ed
I
OB
r
em
ai
n
s
t
h
e
s
a
m
e.
Fro
m
th
e
P
o
s
t
P
A
R
r
ep
o
r
ts
it
is
o
b
s
er
v
ed
th
at
w
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th
t
h
e
in
cr
ea
s
e
o
f
t
h
e
o
r
d
er
o
f
th
e
f
i
lter
(
N)
th
e
m
a
x
i
m
u
m
o
p
er
atin
g
f
r
eq
u
e
n
c
y
d
ec
r
ea
s
es
a
s
th
e
m
i
n
i
m
u
m
p
er
io
d
in
cr
ea
s
es.
T
h
e
m
a
x
i
m
u
m
p
at
h
d
ela
y
f
r
o
m
/to
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o
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m
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h
er
o
b
s
er
v
atio
n
s
.
RE
F
E
R
E
NC
E
S
[
1
]
Mo
h
an
t
y
B
K,
Me
h
er
P
K,
“
No
v
el
Fle
x
ib
le
S
y
s
to
lic
Me
s
h
A
r
ch
itect
u
r
e
f
o
r
P
ar
allel
V
L
SI
I
m
p
le
m
e
n
tat
io
n
o
f
F
i
n
ite
Di
g
ital Co
n
v
o
l
u
tio
n
”
,
I
E
TE
J.
R
es
,
1
9
8
8
;
4
4
(
6
)
:2
6
1
–
266.
[
2
]
P
ar
h
i
K
K,
“
V
L
SI
Di
g
ital
Si
g
n
al
P
r
o
ce
s
s
in
g
S
y
s
t
e
m
s
:
Desi
g
n
a
n
d
I
m
p
le
m
en
tat
io
n
”,
Ne
w
Yo
r
k
,
W
iley
,
1999.
[
3
]
R
az
a
k
A
H
A
,
A
b
u
Z
a
h
ar
in
MI
,
Har
o
n
NZ
,
“Im
p
leme
n
tin
g
Dig
ita
l
F
in
ite
I
mp
u
ls
e
R
esp
o
n
s
e
F
ilter
u
s
in
g
F
P
GA
”
,
P
r
o
c.
o
f
Asi
a
-
P
ac
if
i
c
C
o
n
f
er
en
ce
o
n
A
p
p
lied
E
l
ec
tr
o
m
a
g
n
etic,
Me
la
k
a,
Ma
la
y
s
ia,
2
0
0
7
;1
2
:
1
-
5.
[
4
]
Ab
-
R
a
h
m
a
n
AAH,
Ka
m
is
ia
n
I
,
Sh
aa
m
er
i
AZ
,
“AS
I
C
Mo
d
eli
n
g
a
n
d
S
imu
la
tio
n
o
f
A
d
a
p
tive
F
I
R
F
ilter
,
”
in
P
r
o
c.
I
n
ter
n
atio
n
al
C
o
n
f
er
e
n
ce
o
n
E
lec
tr
o
n
ic
De
s
ig
n
,
P
en
an
g
,
Ma
la
y
s
ia,
2
0
0
8
; 1
2
:
1
-
4.
[
5
]
Daitx
FF
,
R
o
s
a
VS,
C
o
s
ta
E
,
Flo
r
es
P
,
B
a
m
p
i
S,
“VH
DL
Gen
era
tio
n
o
f
Op
timi
z
ed
F
I
R
F
ilter
s
”
,
2
n
d
I
n
ter
n
atio
n
al
C
o
n
f
er
e
n
ce
o
n
S
ig
n
a
ls
,
C
ir
c
u
it
s
an
d
S
y
s
te
m
s
(
SC
S 2
0
0
8
)
,
2
0
0
8
:1
-
5.
[
6
]
Me
h
e
r
P
K,
C
h
an
d
r
asek
ar
a
n
S
,
Am
ir
a
A
,
“FP
GA
R
ea
liz
a
tio
n
o
f
F
I
R
F
ilter
s
b
y
E
fficien
t
a
n
d
F
lexib
le
S
ysto
liz
a
tio
n
u
s
in
g
Dis
tr
ib
u
ted
A
r
ith
metic
”,
I
E
E
E
T
r
an
s
.
S
ig
n
al
P
r
o
ce
s
s
in
g
,
2
0
0
8
;
5
6
(
7
)
:
3009
–
3
0
1
7
.
[
7
]
J
ad
h
av
SB
,
Ma
n
e
NN,
“
A
No
v
el
Hig
h
Sp
ee
d
FP
GA
A
r
ch
it
ec
tu
r
e
f
o
r
FIR
Fil
ter
Desi
g
n
”,
I
n
tern
a
tio
n
a
l
Jo
u
r
n
a
l o
f R
ec
o
n
fig
u
r
a
b
le
a
n
d
E
mb
ed
d
e
d
S
ystems
(
I
JR
E
S
)
,
2012;
1
(
1
)
:
1
-
1
0
,
I
SS
N:
2
0
8
9
-
4864.
[
8
]
Nek
o
ei
F,
Ka
v
ian
YS,
Stro
b
el
O,
“S
o
me
S
ch
eme
s
o
f
R
e
a
liz
a
tio
n
Dig
ita
l
F
I
R
F
ilte
r
s
o
n
F
P
GA
fo
r
C
o
mmu
n
ica
tio
n
A
p
p
lica
tio
n
s
”
,
2
0
th
I
n
t.
C
r
i
m
ea
n
C
o
n
f
er
en
ce
o
n
Mic
r
o
w
av
e
&
T
elec
o
m
m
u
n
icatio
n
T
ec
h
n
o
lo
g
y
(
C
r
iM
iC
o
’
2
0
1
0
)
,
1
3
-
1
7
th
Sep
te
m
b
er
,
Sev
a
s
to
p
o
l,
C
r
i
m
ea
,
U
k
r
ain
e
.
2
0
1
0
.
[
9
]
Kh
a
n
S
A
,
“
D
ig
i
tal
Des
ig
n
o
f
Sig
n
al
P
r
o
ce
s
s
i
n
g
S
y
s
te
m
s
:
A
P
r
ac
tical
A
p
p
r
o
ac
h
”
,
J
o
h
n
W
ile
y
&
So
n
s
,
2011.
[
1
0
]
R
ab
in
er
L
R
,
“
T
ec
h
n
iq
u
e
s
f
o
r
Desig
n
i
n
g
Fi
n
ite
-
D
u
r
atio
n
I
m
p
u
l
s
e
-
R
esp
o
n
s
e
D
i
g
ital
Fil
ter
s
”,
IEEE
Tr
a
n
s
.
C
o
mmu
n
ica
tio
n
Tech
n
o
lo
g
y
,
1
9
7
1
;C
o
m
-
19.
[
1
1
]
Go
ld
B
,
J
o
r
d
an
KL
,
“A
N
o
te
o
n
Dig
ita
l
F
ilter
S
yn
th
esis
,
”
P
r
o
c.
I
E
E
E
(
L
ett.
)
,
1
9
6
8
;5
6
(
1
0
)
:
1717
-
1
7
1
8
.
[
1
2
]
Vo
elck
er
HB
,
Har
tq
u
is
t
E
E
,
“
Dig
ital
F
ilter
in
g
v
ia
B
lo
ck
R
e
cu
r
s
io
n
”,
I
E
E
E
T
r
an
s
.
A
u
d
io
E
lectr
o
ac
o
u
s
t,
1
9
7
0
; A
U
-
1
8
: 1
6
9
-
176.
[
1
3
]
Ku
n
g
HT
,
L
eiser
s
o
n
C
E
,
“S
ys
to
lic
A
r
r
a
y
fo
r
V
LS
I
”
,
Sp
ar
s
e
Ma
tr
ix
P
r
o
c.
,
1
9
7
9
;
256
-
2
8
2
.
Evaluation Warning : The document was created with Spire.PDF for Python.
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J
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F
P
GA
I
mp
leme
n
ta
tio
n
o
f H
ig
h
er Ord
er F
I
R
F
ilter
(
Gu
r
p
a
d
a
m
S
in
g
h
)
1881
[
1
4
]
Ba
il
m
ar
e
R
H,
Ho
n
ale
SJ
,
Kin
g
e
P
V,
“
Des
ig
n
an
d
I
m
p
le
m
e
n
tatio
n
o
f
A
d
ap
tiv
e
FI
R
f
i
l
ter
u
s
i
n
g
S
y
s
to
lic
A
r
c
h
itect
u
r
e”
,
I
n
tern
a
tio
n
a
l
Jo
u
r
n
a
l
o
f
R
ec
o
n
fig
u
r
a
b
le
a
n
d
E
mb
ed
d
ed
S
ystems
(
I
JR
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S
)
,
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0
1
4
;3
(
2
)
:
54
-
6
1
,
I
SS
N:
2
0
8
9
-
4864.
[
1
5
]
Go
ld
B
,
J
o
r
d
an
KL
,
“A
D
ir
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t
Sear
ch
P
r
o
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d
u
r
e
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o
r
De
s
ig
n
i
n
g
Fi
n
ite
Du
r
at
io
n
I
m
p
u
ls
e
R
e
s
p
o
n
s
e
Fil
ter
s
”,
I
E
E
E
Tr
a
n
s
.
A
u
d
io
E
l
ec
tr
o
a
co
u
s
t
,
1
9
6
9
;
AU
-
1
7
:3
3
-
36.
[
1
6
]
R
ab
in
er
L
R
,
S
teig
l
itz
K,
“
T
h
e
Desi
g
n
o
f
W
id
e
-
b
an
d
R
ec
u
r
s
i
v
e
an
d
No
n
r
e
cu
r
s
i
v
e
D
i
g
ita
l
Dif
f
er
en
t
iato
r
s
”,
I
E
E
E
Tr
a
n
s
.
A
u
d
io
E
lectro
a
co
u
s
t
,
1
9
7
0
;
AU
-
1
8
:2
0
4
-
209.
[
1
7
]
R
ab
in
er
L
R
,
Go
ld
B
,
an
d
Mc
Go
n
eg
al
C
A
.
An
ap
p
r
o
ac
h
to
th
e
ap
p
r
o
x
i
m
atio
n
p
r
o
b
lem
f
o
r
n
o
n
r
ec
u
r
s
i
v
e
d
ig
ital
f
ilter
s
.
I
E
E
E
T
r
a
n
s
.
Au
d
io
E
lectr
o
ac
o
u
s
t.
1
9
7
0
;
AU
-
1
8
:8
3
-
1
0
6
.
[
1
8
]
Her
r
m
an
n
O,
Sch
u
es
s
ler
H
W
,
“On
th
e
Desig
n
o
f
S
elec
tive
N
o
n
r
ec
u
r
s
ive
D
ig
ita
l
F
ilter
s
”
,
I
E
E
E
A
r
d
en
Ho
u
s
e
W
o
r
k
s
h
o
p
,
Har
r
im
a
n
,
N.
Y.
1
9
7
0
.
[
1
9
]
Her
r
m
an
n
O,
“
On
t
h
e
Des
ig
n
o
n
No
n
r
ec
u
r
s
i
v
e
Di
g
ital
Fil
ter
s
w
ith
L
i
n
ea
r
P
h
ase,
”
E
lectr
o
n
.
L
ett.
1
9
7
0
.
[
2
0
]
Kaiser
J
F,
“
D
ig
i
tal
F
ilter
s
,
in
S
y
s
te
m
An
al
y
s
is
b
y
Di
g
ital
C
o
m
p
u
ter
”,
F.
F.
K
u
o
,
J
.
F.
Kaiser
,
E
d
s
.
Ne
w
Yo
r
k
,
W
ile
y
.
1
9
6
6
.
[
2
1
]
Hel
m
s
HD,
“
No
n
r
ec
u
r
s
i
v
e
Di
g
ital
Fil
ter
s
:
Desi
g
n
Me
th
o
d
s
f
o
r
A
c
h
iev
in
g
Sp
ec
if
icatio
n
s
o
n
Fre
q
u
en
c
y
R
esp
o
n
s
e,
”
I
E
E
E
Tr
a
n
s
.
A
u
d
io
E
lectro
a
co
u
s
t
.
,
1
9
6
8
; A
U
-
1
6
:3
3
6
-
3
4
2
.
[
2
2
]
R
a
m
s
tad
T
A
,
Sar
a
m
ak
i
T
,
“M
u
ltis
ta
g
e,
Mu
ltir
a
te
F
I
R
F
il
ter
S
tr
u
ct
u
r
es
fo
r
N
a
r
r
o
w
Tr
a
n
s
itio
n
-
b
a
n
d
F
ilter
s
”
,
I
E
E
E
I
n
ter
n
atio
n
al
S
y
m
p
o
s
i
u
m
o
n
C
ir
cu
it
s
an
d
S
y
s
te
m
s
.
1
9
9
0
.
[
2
3
]
J
ian
g
X,
B
ao
Y,
“FI
R
F
ilt
er
Desig
n
b
a
s
ed
o
n
F
P
GA
”
,
I
n
ter
n
at
io
n
al
C
o
n
f
er
en
ce
o
n
C
o
m
p
u
ter
A
p
p
licatio
n
a
n
d
S
y
s
te
m
Mo
d
elin
g
(
I
C
C
ASM
2
0
1
0
)
,
2
0
1
0
;1
3
:6
2
1
-
6
2
4
.
B
I
O
G
RAP
H
I
E
S
O
F
AUTH
O
RS
G
u
r
p
a
d
a
m
S
in
g
h
re
c
e
i
v
e
d
h
is
BE
d
e
g
re
e
in
El
e
c
tro
n
ics
a
n
d
E
lec
tri
c
a
l
c
o
m
m
u
n
ica
ti
o
n
En
g
in
e
e
rin
g
f
ro
m
P
a
n
jab
Un
iv
e
rsit
y
,
C
h
a
n
d
ig
a
rh
,
I
n
d
ia)
i
n
1
9
9
4
a
n
d
M
.
T
e
c
h
.
d
e
g
re
e
in
El
e
c
tro
n
ics
P
u
n
jab
T
e
c
h
n
ica
l
U
n
iv
e
rsity
,
Ja
lan
d
h
a
r,
(In
d
ia)
in
2
0
0
3
.
He
is
p
u
rsu
in
g
h
is
P
h
.
D
De
g
re
e
f
ro
m
P
EC
Un
iv
e
rsity
o
f
T
e
c
h
n
o
lo
g
y
Ch
a
n
d
ig
a
rh
,
In
d
ia.
He
h
a
s
w
o
rk
e
x
p
e
rien
c
e
o
f
A
c
a
d
e
m
ia
o
f
o
v
e
r
1
8
y
e
a
rs.
P
re
se
n
tl
y
h
e
is
w
o
rk
in
g
a
s
a
n
a
ss
o
c
ia
te
p
ro
f
e
ss
o
r
in
th
e
d
e
p
a
rtm
e
n
t
o
f
El
e
c
tro
n
ics
a
n
d
Co
m
m
u
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ica
ti
o
n
En
g
i
n
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rin
g
a
t
Be
a
n
t
Co
ll
e
g
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o
f
En
g
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e
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rin
g
a
n
d
T
e
c
h
n
o
lo
g
y
,
G
u
rd
a
sp
u
r,
P
u
n
jab
,
IND
IA
.
He
h
a
s
a
n
u
m
b
e
r
o
f
p
u
b
l
ica
ti
o
n
s,
He
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