Trellis decoder and associated method

Pulse or digital communications – Systems using alternating or pulsating current – Plural channels for transmission of a single pulse train

Reexamination Certificate

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Details

C375S341000, C714S792000, C714S796000

Reexamination Certificate

active

06625225

ABSTRACT:

BACKGROUND OF THE INVENTION
The present invention relates to a trellis decoder and its associated method for performing decoding of a trellis encoded modulated signal.
ANNEX B of the ITU-T RECOMMENDATION J.83 is the American standard for digital cable televisions. This ANNEX B standard employs trellis encoded modulation which is a combination of an error correcting code and a modulation process, wherein the error correcting code comprises a punctured code with a code rate of 4/5 produced from a convolutional code with a code rate of 1/2 and the modulation process is either 64 QAM (Quadrature Amplitude Modulation) or 256 QAM.
A typical conventional trellis decoder intended for use in decoding the above-described type of trellis encoded modulated signal will be explained by making reference to FIG.
7
. This conventional trellis decoder comprises (a) a branch metric arithmetic circuit
701
for deciding, from an input received signal, the maximum likelihood between a received signal point and a subset signal point and for outputting a branch metric and a subset decision signal, (b) an ACS (Add Compare Select) circuit
702
for performing arithmetic operations to compute, from the branch metric output from the branch metric arithmetic circuit
701
, a path metric according to a trellis diagram and for outputting a path selection signal for selection of a path having a high likelihood, (c) a first memory circuit
703
for storing the subset decision signal output from the branch metric arithmetic circuit
701
, (d) a second memory circuit
704
for storing the path selection signal output from the ACS circuit
702
, (e) a traceback circuit
705
for performing, from a first to a second time point, traceback of the subset decision signal and the path selection signal and for outputting, based on the traceback results, a subset decoding signal and an encoded bit decoding signal, and (f) a reverse conversion circuit
706
for outputting, from the obtained subset decoding signal, a non-encoded bit decoding signal.
The operation of the conventional trellis decoder constructed in the way described above will be explained by making reference to
FIGS. 8
,
9
and
10
.
FIG. 8
shows signal points on a complex plane specified by a real number axis (an I axis) and an imaginary number axis (a Q axis) in 64 QAM. Each of these signal points comprises a respective signal of six bits (i.e., bits C
5
, C
4
, C
3
, C
2
, C
1
, and C
0
). The two bits C
5
and C
4
are I component non-encoded bits. The bit C
3
is an I component encoded bit. The two bits C
2
and C
1
are Q component non-encoded bits. Finally, the bit C
0
is a Q component encoded bit. Determination of the subset is made by the I component encoded bit C
3
and the Q component encoded bit C
0
in each signal point. In this example,
64
signal points are classified into four subsets.
FIGS. 9 and 10
show examples of the I component subset signal points. In the example of
FIG. 9
, 32 black dots represent respective subset signal points with a value C
3
=0. On the other hand, in the example of
FIG. 10
, 32 black dots represent respective subset signal points with a value C
3
=1. The received signal passing through a transmission channel may become a signal with interference such as noise due to the condition of the transmission channel and therefore its signal points do not always correspond to the signal points as shown in
FIGS. 8-10
. To cope with this, the branch metric arithmetic circuit
701
firstly decides in which of four decision regions I
00
, I
01
, I
02
, and I
03
(
FIG. 9
) a received signal point R(Ri, Rq) is situated. The branch metric arithmetic circuit
701
further decides in which of four decision regions I
10
, I
11
, I
12
, and I
13
the aforesaid received signal point R is situated. Then, the branch metric arithmetic circuit
701
outputs the decision results as an I component subset decision signal for storage in the first memory circuit
703
.
Here, the four decision regions of the subset signal points (
FIG. 9
) are determined as follows.
−P
3
Decision Region (I
00
): Ri<−P
2
−P
1
Decision Region (I
01
): −P
2
≦Ri<−P
0
P
0
Decision Region (I
02
): −P
0
≦Ri<P
1
P
2
Decision Region (I
03
): P
1
≦Ri
On the other hand, the four decision regions of the subset signal points (
FIG. 10
) are determined as follows.
−P
2
Decision Region (I
10
): Ri<−P
1
−P
0
Decision Region (I
11
): −P
1
≦Ri<P
0
P
1
Decision Region (I
12
): P
0
≦Ri<P
2
P
3
Decision Region (I
13
): P
2
≦Ri
In the examples (FIGS.
9
and
10
), the branch metric arithmetic circuit
701
decides that the received signal point R is situated in the decision region I
00
(−P
3
) relating to subset signal points with a value C
3
=0 and in the decision region I
10
(−P
2
) relating to subset signal points with a value C
3
=1. Further, based on a branch metric calculated from a Euclidean distance between the subset signal point with a value C
3
=0 (−P
3
) derived from the subset signal point decision and the received signal point R (such a branch metric will be hereinafter referred to as the branch metric 0), and based on a branch metric calculated from a Euclidean distance between the subset signal point with a value C
3
=1 (−P
2
) derived from the subset signal point decision and the received signal point R (such a branch metric will be hereinafter referred to as the branch metric 1), the ACS circuit
702
performs arithmetic operations to compute a path metric according to a trellis diagram and outputs a path selection signal for selection of a path having a high likelihood for storage in the second memory circuit
704
.
In,
FIGS. 9 and 10
, the description has been made in terms of I component subset signal points. In addition, also with respect to the Q component, the maximum likelihood between the received signal point R and the Q component subset signal point with a value C
0
=0 and the maximum likelihood between the received signal point R and the Q component subset signal point with a value C
0
=1 are determined thereby to output a subset decision signal and a path selection signal for storage in the first memory circuit
703
and in the second memory circuit
704
, respectively.
The traceback circuit
705
performs traceback of the subset decision signal stored in the first memory circuit
703
and the path selection signal stored in the second memory circuit
704
from a first to a second time point. Then, the traceback circuit
705
outputs an I component/Q component subset decoding signal from the traceback of the subset decision signal and an I component/Q component encoded bit decoding signal from the traceback of the path selection signal. Further, the reverse conversion circuit
706
converts the subset decoding signal to provide a non-encoded bit decoding signal.
The above-described trellis decoder configuration however suffers the problem that the branch metric arithmetic circuit
701
has to perform subset signal point decision on every decision region in all quadrants. This increases the circuit scale of compare circuits incorporated in the arithmetic circuit
701
. Further, the first memory circuit
703
has to store the subset decision signal having information content about all the quadrants. This also produces the problem that the circuit scale of the memory circuit
703
becomes larger.
SUMMARY OF THE INVENTION
Accordingly, an object of the present invention is to provide a trellis decoder and its associated method capable of accomplishing reductions in the circuit scale.
In order to achieve the object, in accordance with the present invention, when performing decoding of a trellis encoded modulated signal, a received signal point is converted into a converted signal point situated in any one of all the quadrants on a complex plane specified by an I and a Q axis. Then, the result of subset signal point decision relating to the converted signal point

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