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ar
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t
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h
e
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t
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p
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s
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a
m
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r
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iet
y
o
f
r
ec
o
n
f
i
g
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r
atio
n
p
latf
o
r
m
s
[
6
]
.
Fig
u
r
e
1
.
FIR
f
il
ter
T
h
e
FIR
f
ilter
h
as
th
e
ar
ch
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as
s
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F
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1
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d
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ize
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ize
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ates
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[
]
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Fig
u
r
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2
.
R
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r
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FIR
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ar
ch
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Fs
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Sa
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I
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8
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I
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f
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Sy
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Vo
l.
14
,
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2
,
J
u
l
y
20
25
:
320
-
3
2
7
322
T
o
a
d
o
p
t
f
o
r
th
e
v
er
s
atile
co
n
d
itio
n
s
t
h
at
p
r
ev
ail
in
w
ir
eles
s
co
m
m
u
n
icatio
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ch
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n
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el,
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ec
o
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ig
u
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le
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ilter
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ar
e
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ac
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ar
d
w
ar
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d
w
h
en
r
eq
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ir
ed
as
s
h
o
w
n
in
Fi
g
u
r
e
3
.
Dep
en
d
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p
o
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e
r
eq
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ir
e
m
e
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t
o
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ata,
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m
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en
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e
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tr
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Her
e,
it
is
s
h
o
w
n
i
n
ter
m
s
o
f
m
u
ltip
le
x
er
s
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s
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i
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ter
s
,
an
d
ad
d
er
s
to
m
o
d
el
in
h
a
r
d
w
ar
e.
T
h
e
p
r
im
ar
y
g
o
al
o
f
a
SDR
is
to
m
ak
e
tr
an
s
ce
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v
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s
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h
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aj
o
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p
r
o
ce
s
s
in
g
f
r
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m
an
alo
g
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e
to
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ig
ital.
Sev
er
al
w
ir
eles
s
co
m
m
u
n
icatio
n
p
r
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to
co
ls
m
a
y
t
h
u
s
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e
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s
ed
s
in
ce
ea
ch
ca
n
b
e
i
m
p
le
m
en
ted
o
n
t
h
e
s
a
m
e
g
e
n
er
ic
h
ar
d
w
ar
e
p
lat
f
o
r
m
.
T
o
f
u
lf
i
l
t
h
e
d
e
m
an
d
i
n
g
r
eq
u
ir
e
m
en
ts
o
f
lo
w
p
o
w
er
co
n
s
u
m
p
tio
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d
f
a
s
t
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p
ee
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,
w
id
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d
r
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eiv
er
s
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n
S
D
R
m
u
s
t
b
e
r
ea
lis
ed
.
On
e
o
f
t
h
e
m
o
s
t
i
m
p
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r
tan
t
f
ea
t
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SDR
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s
its
r
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v
er
's f
lex
i
b
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i
n
s
u
p
p
o
r
tin
g
m
an
y
w
ir
e
less
co
m
m
u
n
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n
p
r
o
to
co
ls
[
7
]
.
Fig
u
r
e
3
.
R
T
L
s
ch
e
m
atic
f
o
r
8
-
tap
8
-
b
it r
ec
o
n
f
ig
u
r
ab
le
FIR
f
ilter
T
h
e
ch
an
n
elize
r
in
a
SDR
r
ec
eiv
er
h
as
th
e
g
r
ea
te
s
t
s
a
m
p
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n
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ate,
m
a
k
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n
g
its
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m
p
u
tatio
n
s
th
e
m
o
s
t
tax
i
n
g
.
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n
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ch
a
n
n
el
f
ilter
s
,
w
h
ic
h
ar
e
FIR
f
ilter
s
,
ar
e
u
s
ed
to
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ep
ar
ate
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e
w
id
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d
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al
in
to
it
s
co
m
p
o
n
e
n
t
c
h
a
n
n
el
s
[
8
]
.
T
h
is
p
ap
er
aim
s
to
p
r
o
p
o
s
e
a
s
im
p
le
alg
o
r
ith
m
f
o
r
a
p
ip
elin
ed
r
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o
n
f
i
g
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r
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FI
R
f
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f
o
r
5
G
SDR
s
y
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te
m
s
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d
an
al
y
ze
it
s
i
m
p
ac
t
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n
ar
ea
u
ti
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ela
y
,
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ip
at
io
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,
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d
m
a
x
i
m
u
m
p
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s
s
ib
le
o
p
er
atin
g
f
r
eq
u
en
c
y
.
T
h
e
s
ec
tio
n
2
d
escr
ib
es
th
e
liter
atu
r
e
r
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w
,
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o
llo
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ed
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o
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ith
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3
an
d
th
e
r
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d
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s
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ed
in
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tio
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4
f
o
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w
e
d
b
y
co
n
cl
u
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in
s
ec
tio
n
5
.
2.
RE
L
AT
E
D
WO
RK
T
h
e
FIR
f
ilter
m
a
y
b
e
co
n
f
ig
u
r
ed
in
a
v
ar
iet
y
o
f
w
a
y
s
,
m
a
k
i
n
g
it
u
s
ef
u
l
f
o
r
b
o
th
s
tatic
an
d
r
ec
o
n
f
i
g
u
r
ab
le
(
R
FI
R
)
p
u
r
p
o
s
es.
Sev
er
al
o
f
t
h
e
m
o
s
t
n
o
v
el
m
et
h
o
d
s
ar
e
ad
d
r
ess
ed
in
th
is
r
esear
ch
.
R
esear
c
h
b
y
N
ich
o
ls
o
n
et
a
l
.
[
9
]
,
th
e
co
m
p
lete
d
etails
ab
o
u
t
t
h
e
b
lo
ck
s
in
a
n
R
F
co
m
m
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te
m
ar
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d
is
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s
s
ed
,
w
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er
e
th
e
f
ilter
s
n
ee
d
to
p
r
o
ce
s
s
a
h
i
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h
s
a
m
p
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p
ee
d
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2
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G
s
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/s
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>1
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d
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s
p
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r
-
f
r
ee
d
y
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a
m
ic
r
an
g
e
at
th
e
r
ec
eiv
er
.
A
ls
o
ex
p
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ed
ar
e
th
e
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it
s
o
f
f
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tu
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e
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y
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s
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ter
m
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o
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ed
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g
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g
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d
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n
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et
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atter
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ig
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t
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y
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d
a
lo
w
er
co
s
t
f
o
r
m
u
lti
-
ca
r
r
ier
b
ase
s
tatio
n
s
T
h
e
ar
ticle
h
ig
h
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g
h
ts
t
h
e
c
h
alle
n
g
e
s
f
ac
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th
e
R
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m
m
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s
y
s
te
m
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d
t
h
e
n
ee
d
f
o
r
ad
v
an
ce
d
tech
n
o
lo
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o
v
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co
m
e
t
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m
.
I
t
al
s
o
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m
p
h
a
s
is
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s
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e
p
o
ten
tial a
d
v
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e
s
o
f
f
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t
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r
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w
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s
s
s
y
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te
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ter
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t,
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icien
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d
p
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f
o
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m
a
n
ce
.
A
f
ilter
cir
cu
it
is
n
ec
e
s
s
ar
y
f
o
r
an
y
co
m
m
u
n
icatio
n
s
y
s
te
m
t
h
at
eith
er
allo
w
s
a
s
i
g
n
a
l
to
p
as
s
th
r
o
u
g
h
it
o
r
d
o
es
n
o
t
[
1
0
]
.
I
t
m
a
y
b
e
ac
tin
g
as
a
n
a
m
p
l
if
ier
i
n
s
o
m
e
ar
ea
s
o
f
its
d
esi
g
n
.
T
h
e
y
ar
e
ess
en
t
iall
y
j
u
s
t
a
FIR
-
s
h
ap
ed
d
ata
s
h
ap
in
g
f
ilt
er
.
T
o
en
ab
le
th
e
m
u
lti
ca
r
r
ier
m
o
d
u
lat
io
n
(
MCM)
s
c
h
e
m
es
u
s
ed
in
5
G,
p
r
o
to
ty
p
e
f
il
ter
s
w
ill
b
e
u
s
ed
.
T
h
e
f
ilter
s
t
h
at
w
ill
b
e
u
s
ed
m
u
s
t
h
av
e
s
tr
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n
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5
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I
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323
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b
i
t
p
r
o
g
r
am
m
a
b
l
e
w
eig
h
t
in
g
ci
r
c
u
it
s
a
t
e
ac
h
d
e
l
ay
-
li
n
e
t
a
p
t
o
a
l
l
o
w
s
y
n
th
es
is
o
f
a
r
b
i
t
r
a
r
y
f
r
e
q
u
en
cy
r
es
p
o
n
s
es
lim
i
t
e
d
o
n
ly
b
y
th
e
Q
-
f
a
ct
o
r
a
n
d
d
y
n
am
ic
r
an
g
e
o
f
th
e
w
eig
h
t
in
g
e
l
em
en
t
s
.
Go
ld
s
m
it
h
et
a
l
.
[
1
5
]
p
r
o
p
o
s
ed
d
es
ig
n
o
f
a
n
ati
v
el
y
f
ix
ed
-
p
o
in
t
f
il
ter
d
esi
g
n
m
e
th
o
d
t
h
at
tar
g
ets
f
ield
-
p
r
o
g
r
a
m
m
ab
le
g
ate
ar
r
a
y
(
FP
GA
)
-
b
ased
r
ec
o
n
f
ig
u
r
ab
le
f
in
ite
i
m
p
u
l
s
e
r
esp
o
n
s
e
(
R
FIR)
f
ilter
s
f
o
r
s
o
f
t
w
ar
e
d
ef
in
ed
r
ad
io
ap
p
lica
tio
n
s
.
T
h
is
F
ilter
is
ca
p
ab
le
o
f
r
ec
o
n
f
i
g
u
r
in
g
c
u
t
-
o
f
f
f
r
eq
u
en
cies
o
n
-
th
e
-
f
l
y
at
r
u
n
-
ti
m
e;
w
i
th
o
t
h
er
p
ar
a
m
ete
r
s
,
s
u
c
h
as
f
ilter
le
n
g
th
a
n
d
w
i
n
d
o
w
t
y
p
e,
co
n
f
i
g
u
r
ab
le
at
co
m
p
ile
-
ti
m
e.
T
h
is
y
ield
s
m
u
ch
lo
w
er
la
ten
cie
s
w
i
th
h
y
b
r
id
m
et
h
o
d
co
m
b
i
n
in
g
w
i
n
d
o
w
a
n
d
f
r
eq
u
e
n
c
y
s
a
m
p
li
n
g
m
eth
o
d
s
.
R
es
u
lts
p
r
o
v
ed
t
h
at
t
h
e
p
r
o
p
o
s
ed
alg
o
r
ith
m
g
e
n
er
ates
g
o
o
d
-
q
u
alit
y
f
ilter
s
t
h
at
d
i
s
p
la
y
s
to
p
b
an
d
atten
u
atio
n
u
p
to
8
8
d
B
,
tr
an
s
itio
n
b
an
d
w
id
t
h
s
less
th
a
n
1
%
o
f
th
e
s
a
m
p
l
e
r
ate,
an
d
lo
w
r
eso
u
r
ce
u
t
ili
s
atio
n
.
T
h
is
m
e
th
o
d
g
iv
e
s
u
p
to
th
r
ee
o
r
d
er
s
o
f
m
ag
n
it
u
d
e
f
a
s
ter
th
a
n
an
eq
u
iv
ale
n
t
s
o
f
t
w
ar
e
i
m
p
le
m
en
ta
ti
o
n
,
w
it
h
ex
ec
u
tio
n
ti
m
e
s
as lo
w
a
s
2
.
5
2
μ
s
,
en
ab
lin
g
r
ad
io
ap
p
licatio
n
s
i
n
w
h
ic
h
laten
c
y
i
s
a
p
r
in
cip
al
co
n
s
tr
ai
n
t.
J
a
g
a
d
e
e
s
w
a
r
i
e
t
a
l
.
[
1
6
]
f
o
c
u
s
s
e
d
o
n
a
n
e
f
f
i
c
i
e
n
t
r
e
c
o
n
f
i
g
u
r
a
b
l
e
F
I
R
f
i
l
t
e
r
d
e
s
i
g
n
b
a
s
e
d
o
n
t
h
e
s
u
b
-
e
x
p
r
e
s
s
i
o
n
s
f
o
r
l
o
w
p
o
w
e
r
a
p
p
l
i
c
a
t
i
o
n
s
u
s
i
n
g
r
e
v
e
r
s
i
b
l
e
g
a
t
e
s
a
n
d
s
u
b
-
e
x
p
r
e
s
s
i
o
n
e
l
im
i
n
a
t
i
o
n
i
n
c
a
d
e
n
c
e
E
D
A
t
o
o
l
.
T
h
e
r
e
s
u
l
t
s
p
r
o
v
e
t
h
a
t
t
h
e
p
r
o
p
o
s
e
d
a
l
g
o
r
i
t
h
m
p
o
w
e
r
c
o
n
s
u
m
p
t
i
o
n
i
s
r
e
d
u
c
e
d
b
y
1
4
0
5
5
8
.
8
5
6
n
a
n
o
w
a
t
t
s
a
l
o
n
g
w
i
t
h
a
n
i
m
p
r
o
v
e
m
e
n
t
i
n
t
h
e
p
o
w
e
r
s
a
v
i
n
g
r
a
t
i
o
s
t
o
7
.
6
%
,
2
0
.
6
%
,
a
n
d
2
8
%
w
i
t
h
t
h
e
e
x
i
s
t
i
n
g
t
e
c
h
n
i
q
u
e
s
r
e
s
p
e
c
t
i
v
e
l
y
.
T
h
e
f
r
eq
u
en
c
y
r
esp
o
n
s
e
o
f
th
e
R
R
C
FIR
i
n
ter
p
o
latio
n
f
i
lter
co
n
s
id
er
ed
d
u
r
in
g
FIR
c
o
ef
f
icie
n
t
ex
tr
ac
tio
n
d
ep
en
d
s
o
n
v
ar
io
u
s
m
ea
s
u
r
e
s
lik
e
in
ter
p
o
latio
n
f
ac
to
r
s
,
r
o
ll
-
o
f
f
v
al
u
es,
an
d
o
r
d
er
.
T
h
ese
m
ea
s
u
r
es
ar
e
v
ar
ied
f
o
r
d
if
f
er
en
t
w
ir
eless
s
tan
d
ar
d
s
.
I
n
o
r
d
er
to
s
u
p
p
o
r
t
a
w
id
e
r
an
g
e
o
f
s
tan
d
ar
d
s
,
d
ig
i
tal
i
m
p
le
m
en
ta
tio
n
o
f
th
e
FIR
f
i
lter
r
eq
u
ir
es
a
b
an
k
o
f
FIR
co
ef
f
icie
n
t
s
w
it
h
i
m
p
r
o
v
ed
f
l
ex
ib
ilit
y
an
d
h
i
g
h
p
er
f
o
r
m
a
n
ce
.
Se
v
er
al
w
o
r
k
s
i
n
tr
o
d
u
ce
d
d
if
f
er
en
t
m
et
h
o
d
o
lo
g
ies (
Dar
ak
et
a
l
.
[
1
7
]
)
,
(
Sak
th
i
v
el
an
d
E
lia
s
[
1
8
]
)
to
d
esig
n
a
lo
w
-
co
m
p
le
x
it
y
r
e
co
n
f
i
g
u
r
ab
le
FIR f
i
lter
f
o
r
an
SDR
s
y
s
te
m
.
J
ia
et
a
l
.
[
1
9
]
p
r
o
p
o
s
ed
th
at
C
SD
co
ef
f
icien
t
s
b
e
g
r
o
u
p
ed
in
a
d
if
f
er
en
t
f
as
h
io
n
.
Fi
n
d
in
g
o
u
t
w
h
et
h
e
r
th
er
e
is
j
u
s
t
o
n
e
"
ze
r
o
"
b
it
b
et
w
ee
n
t
w
o
"
n
o
n
-
ze
r
o
"
b
its
is
all
th
at
's
r
eq
u
ir
ed
.
C
er
tain
s
tatis
t
ical
tr
aits
ar
e
d
etec
ted
an
d
tak
e
n
ad
v
an
ta
g
e
o
f
b
y
an
al
y
s
in
g
t
h
e
d
i
s
tr
i
b
u
ti
o
n
s
o
f
t
h
e
ch
o
s
en
C
S
s
a
m
o
n
g
a
lar
g
e
n
u
m
b
er
o
f
C
SD
co
ef
f
icie
n
t
s
d
r
a
w
n
f
r
o
m
a
b
r
o
a
d
ly
r
ep
r
esen
ta
tiv
e
FI
R
f
ilter
d
esig
n
.
W
h
e
n
ap
p
lied
to
t
h
e
i
m
p
le
m
e
n
tatio
n
o
f
FIR
f
ilter
s
,
t
h
e
s
u
g
g
ested
a
p
p
r
o
ac
h
m
a
y
d
r
ast
icall
y
m
i
n
i
m
is
e
t
h
e
n
u
m
b
er
o
f
m
u
ltip
lica
tio
n
s
.
T
h
is
m
a
k
e
s
it
a
p
o
ten
tiall
y
u
s
e
f
u
l stra
te
g
y
f
o
r
h
ig
h
-
p
er
f
o
r
m
a
n
ce
d
ig
ital
s
ig
n
al
p
r
o
ce
s
s
in
g
w
it
h
m
i
n
i
m
al
p
o
w
er
co
n
s
u
m
p
tio
n
.
Sh
ar
m
a
et
a
l
.
[
2
0
]
p
r
o
p
o
s
ed
a
h
y
b
r
id
id
ea
o
f
ar
ti
f
ic
ial
b
ee
co
lo
n
y
-
p
ar
ticle
s
w
ar
m
o
p
ti
m
izat
io
n
(
P
SO
-
A
B
C
)
alg
o
r
it
h
m
s
f
o
r
t
h
e
ef
f
icie
n
t
co
n
s
tr
u
ct
io
n
o
f
a
tr
ee
-
s
tr
u
c
tu
r
ed
n
o
n
-
u
n
i
f
o
r
m
f
ilter
b
an
k
(
NUFB
)
th
at
d
o
esn
't
h
a
v
e
a
n
y
m
u
ltip
l
ier
s
.
Fil
ter
co
ef
f
icie
n
ts
ar
e
cr
ea
ted
,
q
u
an
tized
,
an
d
r
ep
r
esen
ted
as
a
C
SD
o
r
b
in
ar
y
v
al
u
e
in
s
id
e
t
h
e
s
a
m
e
o
p
ti
m
izatio
n
p
r
o
ce
d
u
r
e,
m
a
k
in
g
t
h
i
s
m
eth
o
d
m
o
r
e
e
f
f
ici
en
t
t
h
an
p
r
ev
io
u
s
l
y
av
ailab
le
m
et
h
o
d
s
.
A
s
a
r
es
u
lt,
it
is
u
n
n
ec
es
s
ar
y
to
u
s
e
t
w
o
d
is
t
in
ct
o
p
ti
m
izatio
n
s
tr
ateg
ies,
o
n
e
f
o
r
f
ilte
r
co
ef
f
icie
n
t
cr
ea
tio
n
an
d
an
o
t
h
er
f
o
r
o
p
ti
m
izatio
n
.
B
ec
au
s
e
o
f
its
lo
w
co
m
p
lex
i
t
y
an
d
s
m
all
n
u
m
b
er
o
f
ad
d
er
s
,
th
e
s
u
g
g
ested
m
eth
o
d
is
th
e
m
o
s
t
p
r
o
m
is
in
g
w
a
y
to
cr
ea
te
m
u
ltip
lier
-
les
s
NUFB
.
A
t
h
o
r
o
u
g
h
e
x
a
m
in
at
io
n
o
f
s
ev
er
al
C
SE
ap
p
r
o
ac
h
es
w
as
p
er
f
o
r
m
ed
to
d
eter
m
in
e
th
e
ir
ef
f
icac
y
.
T
h
e
p
r
o
p
o
s
ed
alg
o
r
ith
m
's
s
ta
n
d
o
u
t
f
ea
t
u
r
e
is
its
ab
ili
t
y
to
o
p
ti
m
a
l
l
y
co
n
s
tr
u
ct
a
p
r
o
to
t
y
p
e
f
il
ter
f
o
r
m
u
ltip
lier
les
s
NUFB
u
s
i
n
g
a
co
m
b
in
a
tio
n
o
f
P
SO
-
A
B
C
a
n
d
C
SE
i
n
a
s
i
n
g
le
o
p
ti
m
izat
io
n
.
I
n
ad
d
itio
n
to
its
p
o
ten
tial
u
s
a
g
e
in
d
i
g
it
al
h
ea
r
in
g
aid
s
,
t
h
e
s
u
g
g
e
s
ted
alg
o
r
ith
m
also
h
as
p
o
ten
tial
as
an
ef
f
ec
tiv
e
ap
p
r
o
ac
h
in
f
il
ter
-
b
an
k
m
u
lticar
r
ier
co
m
m
u
n
icatio
n
a
n
d
ch
an
n
eliza
t
io
n
.
An
e
f
f
icien
t
a
n
d
lo
w
-
p
o
w
er
d
esig
n
f
o
r
a
FIR
a
d
ap
tiv
e
f
ilter
is
p
r
esen
ted
i
n
[
2
1
]
u
s
i
n
g
ap
p
r
o
x
i
m
at
io
n
co
m
p
u
ti
n
g
,
d
is
tr
ib
u
ted
ar
ith
m
etic
(
D
A
)
,
an
d
th
e
r
ad
ix
-
8
B
o
o
th
alg
o
r
ith
m
.
T
o
th
e
b
est
o
f
th
e
au
t
h
o
r
s
'
k
n
o
w
led
g
e,
th
is
is
t
h
e
f
ir
s
t
ap
p
licatio
n
o
f
th
e
r
ad
ix
-
8
B
o
o
th
alg
o
r
ith
m
to
th
e
co
n
s
tr
u
ct
io
n
o
f
an
in
te
g
r
ated
FIR
ad
ap
tiv
e
f
i
lter
i
n
s
id
e
a
D
A
ar
ch
itect
u
r
e.
T
h
e
s
u
g
g
ested
ap
p
r
o
x
i
m
atio
n
FI
R
ad
ap
tiv
e
f
il
ter
s
d
e
m
o
n
s
tr
ate
v
er
y
m
i
n
i
m
al
ac
cu
r
ac
y
lo
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Evaluation Warning : The document was created with Spire.PDF for Python.
I
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I
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T
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[
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f
o
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n
ex
p
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r
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p
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p
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ticated
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-
c
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t
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t
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it
iv
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ith
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h
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s
o
p
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te
d
F
I
R
f
i
l
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r
s
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n
t
e
r
m
s
o
f
f
i
l
t
e
r
p
e
r
f
o
r
m
an
c
e
.
T
h
es
e
f
in
d
in
g
s
s
u
g
g
e
s
t
th
a
t
H
cu
b
i
s
a
p
r
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m
is
in
g
t
e
ch
n
i
q
u
e
f
o
r
d
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ig
n
in
g
a
r
e
a
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f
f
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ci
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t
F
I
R
f
i
l
t
e
r
s
.
T
h
e
f
u
n
ct
io
n
alit
y
o
f
FIR
m
a
y
b
e
m
o
d
i
f
ied
ac
co
r
d
in
g
to
ce
r
tain
d
esig
n
r
eq
u
ir
e
m
e
n
t
s
.
T
h
u
s
,
th
er
e
m
u
s
t
b
e
s
o
m
e
w
ell
-
d
e
f
in
ed
FI
R
d
esig
n
p
r
o
ce
d
u
r
es
th
at
m
ee
t
th
ese
s
tan
d
ar
d
s
.
T
h
e
ap
p
r
o
ac
h
es
f
o
r
f
ilter
d
esig
n
ar
e
b
r
o
k
en
d
o
w
n
in
to
t
h
ese
th
r
ee
b
r
o
ad
ca
teg
o
r
ies
in
f
r
eq
u
en
c
y
s
a
m
p
l
in
g
[
2
3
]
,
w
i
n
d
o
w
i
n
g
[
2
4
]
,
an
d
o
p
tim
izatio
n
[
2
5
]
.
W
e
s
tar
t
with
a
n
o
v
er
v
ie
w
o
f
t
h
e
f
u
n
d
am
en
tal
id
ea
s
b
e
h
in
d
ea
c
h
ap
p
r
o
ac
h
,
th
e
n
p
r
o
v
id
e
s
o
m
e
i
n
s
tan
ce
s
o
f
h
o
w
t
h
ese
i
d
ea
s
ar
e
o
f
ten
i
m
p
le
m
e
n
ted
i
n
p
r
ac
tis
e.
Fi
n
all
y
,
th
e
b
en
e
f
its
an
d
d
r
a
w
b
ac
k
s
o
f
th
e
s
u
m
m
ar
i
s
ed
ap
p
r
o
ac
h
es a
r
e
co
v
er
ed
in
th
e
p
r
o
p
o
s
ed
d
esi
g
n
.
3.
RE
S
E
ARCH
M
E
T
H
O
D
T
h
e
p
r
o
p
o
s
ed
A
lg
o
r
it
h
m
1
is
w
h
er
e
t
h
e
v
ar
iab
les
ar
e
co
n
s
id
er
ed
as
n
u
m
b
er
o
f
tap
s
,
th
e
f
ilte
r
co
ef
f
icie
n
t a
n
d
d
ata
w
id
t
h
s
.
T
h
e
in
p
u
ts
i
n
cl
u
d
e
th
e
clo
c
k
,
r
eset,
f
il
ter
co
ef
f
ic
ien
t
v
al
u
es,
v
alid
in
p
u
t s
ig
n
al
a
n
d
d
ata
in
p
u
t si
g
n
als.
T
h
e
o
u
p
u
t s
ig
n
a
ls
i
n
cl
u
d
e
d
ata
o
u
tp
u
t a
n
d
v
alid
o
u
tp
u
t
s
i
g
n
al
s
.
A
l
g
o
r
ith
m
1
.
V
ar
iab
les ar
e
co
n
s
id
er
ed
as n
u
m
b
er
o
f
tap
s
,
t
h
e
f
ilter
co
ef
f
icie
n
t a
n
d
d
ata
w
i
d
th
s
Var
iab
les:
tap
s
,
co
ef
f
_
w
id
t
h
,
d
ata_
w
id
th
I
n
p
u
ts
: c
lo
ck
,
r
eset,
co
ef
f
s
,
d
at
a_
in
,
v
alid
_
in
Ou
tp
u
ts
: d
ata_
o
u
t,
v
al
id
_
o
u
t
if
r
eset is 0
d
ata_
1
,
p
r
o
d
u
cts,
d
ata_
o
u
t a
r
e
0
else
f
o
r
ev
er
y
r
is
i
n
g
ed
g
e
clo
ck
if
v
a
lid
_
in
=
'
1
'
t
h
e
n
d
ata_
1
=
d
ata_
in
&
d
ata_
1
(
0
t
o
tap
s
-
2)
f
o
r
i =
0
to
tap
s
-
1
p
r
o
d
u
cts(i)
<=
co
ef
f
s
(
i)
)
*
d
ata
_
1
(
i)
d
ata_
o
u
t:=
d
ata_
o
u
t +
p
r
o
d
u
cts(i)
en
d
lo
o
p
v
alid
_
o
u
t <
=
'
1
'
;
else
v
alid
_
o
u
t <
=
'
0
'
;
T
h
e
alg
o
r
ith
m
w
o
r
k
s
as
w
h
e
n
v
alid
i
n
p
u
t
s
i
g
n
al
is
a
v
ailab
le
o
r
lo
g
ic
1
,
f
o
r
ev
er
y
r
is
i
n
g
ed
g
e
clo
ck
,
i
f
r
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is
e
n
ab
led
o
u
tp
u
ts
w
ill
b
e
b
y
d
e
f
au
l
t
ze
r
o
else
th
e
f
il
te
r
co
ef
f
icie
n
ts
ar
e
u
p
d
ated
w
it
h
th
e
m
u
ltip
lier
a
n
d
ad
d
er
m
o
d
u
les a
s
m
e
n
tio
n
ed
.
4.
RE
SU
L
T
S AN
D
D
I
SCU
SS
I
O
N
T
h
e
d
esig
n
s
ar
e
m
o
d
elled
in
Ver
ilo
g
h
ar
d
w
ar
e
d
escr
ip
tio
n
lan
g
u
a
g
e
(
V
HD
L
)
lan
g
u
a
g
e
.
T
h
e
d
esig
n
s
ar
e
v
er
if
ied
f
o
r
C
y
c
lo
n
e
I
I
I
FP
GA
w
it
h
p
ar
t
n
u
m
b
er
E
P
3
C
4
0
F7
8
0
C
8
in
Qu
ar
tu
s
I
I
T
o
o
ls
.
I
t
co
n
s
is
ts
o
f
3
9
6
0
0
lo
g
ic
ele
m
e
n
ts
,
o
p
er
ates
at
1
.
2
V
co
r
e
v
o
ltag
e,
w
ith
5
3
6
u
s
er
I
/O
p
in
s
.
Her
e
th
e
ar
ea
is
e
v
alu
a
ted
in
ter
m
s
o
f
lo
g
ic
ele
m
e
n
t
s
(
o
u
t o
f
3
9
6
0
0
)
.
T
h
e
R
T
L
s
ch
e
m
a
tic
o
f
t
h
e
r
ec
o
n
f
i
g
u
r
ab
le
f
ilter
f
o
r
8
tap
s
an
d
8
b
it w
o
r
d
len
g
t
h
is
as s
h
o
w
n
i
n
Fi
g
u
r
e
3
.
T
h
e
T
ab
le
1
s
h
o
w
s
th
e
d
etai
ls
o
f
th
e
r
ec
o
n
f
i
g
u
r
ab
le
FIR
Fil
ter
u
s
in
g
p
ip
elin
i
n
g
w
it
h
m
ax
i
m
u
m
p
o
s
s
ib
le
n
u
m
b
er
o
f
tap
s
an
d
n
u
m
b
er
o
f
b
its
p
r
o
ce
s
s
ed
at
a
ti
m
e.
I
t
s
h
o
w
s
th
a
t
as
th
e
n
u
m
b
er
o
f
tap
s
in
cr
ea
s
es,
th
e
ar
ea
o
cc
u
p
ied
n
ea
r
ly
d
o
u
b
les.
T
h
e
d
elay
also
in
cr
ea
s
es
b
y
3
5
.
3
%
alo
n
g
w
ith
p
o
w
er
d
is
s
ip
atio
n
b
y
3
.
9
%
b
u
t th
e
m
ax
i
m
u
m
p
o
s
s
ib
le
f
r
eq
u
en
c
y
o
f
o
p
er
atio
n
d
ec
r
ea
s
es
b
y
1
0
.
7
%.
T
h
e
T
ab
le
2
s
h
o
w
s
th
e
d
et
ails
o
f
th
e
p
o
w
er
d
is
s
ip
atio
n
f
o
r
r
ec
o
n
f
i
g
u
r
ab
le
FIR
f
ilter
.
I
t
s
h
o
w
s
t
h
at
as
th
e
d
y
n
a
m
ic
p
o
w
er
r
e
m
ai
n
ed
co
n
s
tan
t
at
0
b
u
t
v
er
y
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lig
h
t
ch
an
g
es
o
f
0
.
0
7
%
o
cc
u
r
in
s
tatic
p
o
w
er
b
u
t
as
n
u
m
b
er
o
f
tap
s
o
r
b
its
i
n
cr
ea
s
e,
it
in
cr
ea
s
e
s
I
/O
p
o
w
er
b
y
a
tleast
1
8
.
1
%.
F
ig
u
r
e
4
p
r
esen
t
s
th
e
p
er
f
o
r
m
a
n
ce
tr
ad
e
-
o
f
f
co
m
p
ar
is
o
n
o
f
th
e
r
ec
o
n
f
ig
u
r
ab
le
FIR
f
ilter
i
n
ter
m
s
o
f
ar
ea
,
d
elay
,
p
o
w
er
,
an
d
m
a
x
i
m
u
m
f
r
eq
u
en
c
y
.
Fi
g
u
r
e
5
illu
s
tr
ates
th
e
p
o
w
er
p
er
f
o
r
m
a
n
ce
an
al
y
s
i
s
o
f
th
e
f
ilter
w
ith
d
i
f
f
er
e
n
t
tap
an
d
b
it
-
w
id
t
h
co
n
f
i
g
u
r
atio
n
s
,
h
i
g
h
l
ig
h
ti
n
g
th
e
ch
an
g
es i
n
s
tat
ic
an
d
I
/O
p
o
w
er
.
Evaluation Warning : The document was created with Spire.PDF for Python.
I
n
t J
R
ec
o
n
f
i
g
u
r
ab
le
&
E
m
b
ed
d
ed
Sy
s
t
I
SS
N:
2089
-
4864
P
ip
elin
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fig
u
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h
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325
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R
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ig
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r
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le
FIR
f
ilter
w
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p
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s
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B
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l
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D
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