Non-recursive Cascaded Integrator-Comb Decimation Filters
with Integer Multiple Factors
Youngbeom Jang, Sejung Yang
Dept. of Information Electronics Engineering, Ewha Womans University
1
1
-
1
Daehyun-Dong, Seodaemun-Ku, Seoul, Korea
e-mail:
ybj
ang@mm. ewha. ac
.kr
Abstract
In
this
Ixlper.
multi-rate non-recursive
Cascaa'ed Inte,Q-ator-Comb(CIC) decimation
architectwe for
.filters with an
-
arbitrq factor is proposed.
The
CIC
filters are widely tsed
in high speed wireless comnztrnicution system since they /me
multiplier-less and nztilti-rate law-paver structure. Even
conventional non-rectrsive
CIC
structure is multi-rate, this
architectire can be structured only in case
of
Mth
paver-of two
decimation fmtor. This
paper
proposes that
non-t-ectrsive
CIC
jlters with
any
decimtion factors
of
product form
cur?
be
stmctired with milti-rate low-paver
architectire. Paver- conslimption of the proposed architectwe
is cornpaved with that
of
the conventionul non-recursive
architecture.
1.
Introduction
In application of the wireless communication products,
high-speed and low-power decimation filters have been highly
need4 and
many
architectws for those requirements are
introduced
based
on
current semiconductor technology.
Commercial decimation filter products consist
of
several kinds
of cascaded filters and their characteristics are defined by
independent filters. Among those cascaded decimation tilter
block, CIC filters generally locate
as
the first stage. CIC
filters
are
proposed by
E.
B.
Hogenauer
in
[I]
which also
includes research for register grow of the recursive structures.
CIC decimation filters
are
highly
focussed
in these sense:
I)
no multiplication,
2)
regular structure,
3)
low-power
architecture through location change with the down sampler.
CIC filters.. has the following recursive and non-recursive
representation.
In the above equation,
N
and
k
are defined
as
the
decimation factor and the filter order, respectively.
As
shown
in above equation, the CIC filters can
be
implemented with
recursive
forms
or non-recursive
forms.
When the non-recursive structure is implemented directly
in
terms of equation
(I),
it needs
kw-1)
additions and
UN-I)
delays.
Also.
direct implementation
does
not allow slower
speed
operation by stage separation.
In
order to overcome
these. disadvantages. factoring method of the system function
was
propod.[5][6]
Through
the
location
change
of
the down
samplers. decimation filters are separated into multi-
stages
with multirate processing. Even this tactoring method
is
eficient. it has constraints that the decimation factor should
be
power
of
2.
In order to loosen this constraints. we propose a
new architecture. Once decimation factor is factored into
integer multiple. our proposed architecture
can
Ix
applied. Our
proposed non-recursive architecture has multi stages, and each
stage operates with different speed.
2.
Non-recursive architecture with integer
multiple factors
In case that the decimation
non-recursive CIC filter
has
the
the
form
Since system hnctions are
factors are power of
2.
the
following system function
of
factored, structures can
be
implemented with cascaded form. Furthermore, location of the
down samplers can
be
exchanged with factors of the system
function. It results in multirate processing.
130
0-7803-71
50-X/01/$10.00@2001
IEEE