1. Field of the Invention
The present invention relates to an error correction encoding method, an error correction decoding method, and devices therefor, which are used in a digital transmission system, for example.
2. Description of the Related Art
For example, in a conventional error correction encoding method for optical communications (see Japanese Patent No. 4382124), as illustrated in FIGS. 2, 5, 6, and 7 of Japanese Patent No. 4382124, a function of carrying out interleaving between outer code and inner code is implemented through an operation of performing a bit shift on a column basis. In this case, the interleaving operation may be performed through parallel processing of 128 lines per column with respect to an optical channel transport unit-k (OTUk) frame (k is classified into four categories of 1, 2, 3, and 4, depending on the transmission speed), which is compliant with ITU-T Recommendation G.709 (see ITU-T Recommendation G.709). In this case, allocation ratios between an information sequence area and a parity sequence area, which are provided in each of four inner frames (here, referred to as forward error correction (FEC) frames), are uniform among all the 128 lines.
Due to the fact that the conventional error correction encoding method and devices therefor are configured as described above, in a case of performing parallel processing of 512 lines per column and adopting an OTUkV frame described in Appendix of ITU-T Recommendation G.709 (a parity sequence length is lengthened compared to the OTUk frame), the parity sequence length of each inner frame needs to be divisible by 512. When this condition is not satisfied, the allocation ratios between the information sequence area and the parity sequence area become non-uniform among the lines, and hence distribution in a codeword sequence arranged in a lateral direction becomes non-uniform.
As described above, the conventional error correction encoding method and the devices therefor have a problem in that a constraint is imposed on the parity sequence length. In other words, there is a problem in that a constraint is imposed on a frame structure for improving, through an increased parallel number for processing, a processing throughput and for enhancing an error correction capability.
The present invention has been made in order to solve the above-mentioned problem, and therefore has an object to provide an error correction encoding method, an error correction decoding method, an error correction encoding device, and an error correction decoding device, which are capable of making uniform allocation ratios between an information sequence area and a parity sequence area by carrying out interleaving, in which a parallel input sequence is divided into given lanes, and a given barrel shift is performed for each inner frame, to thereby improve a processing throughput and enhance an error correction capability.
According to the present invention, there is provided an error correction encoding method including: an outer encoding step of performing encoding processing for outer code; an inner encoding step of performing encoding processing for inner code; and an interleaving processing step of dividing a parallel input sequence into given lanes, and performing a given barrel shift for each inner frame.
According to the present invention, the error correction encoding method includes: the outer encoding step of performing the encoding processing for outer code; the inner encoding step of performing the encoding processing for inner code; and the interleaving processing step of dividing the parallel input sequence into the given lanes, and performing the given barrel shift for the each inner frame. Thus, by carrying out the interleaving in which the parallel input sequence is divided into the given lanes, and the given barrel shift is performed for the each inner frame, the allocation ratios between the information sequence area and the parity sequence area can be made uniform, and it is possible to realize the error correction encoding method for improving the processing throughput and enhancing the error correction capability through avoiding a constraint imposed on the frame structure.
In the accompanying drawings:
First Embodiment
It should be noted that detailed diagrams of the outer encoding circuit 33 and the outer decoding circuit 44 illustrated in
Next, description is given of operation of the error correction encoder 11. In
For example, in the case of an OTUk frame compliant with ITU-T Recommendation G.709 (see ITU-T Recommendation G.709), which is commonly used in optical communications, a frame format is as illustrated in
It should be noted that the frame generation circuit 32 is necessary when consideration is given to the frame format, such as the OTUkV frame, but the frame generation circuit 32 is not always necessary in a digital transmission system which is capable of continuous encoding and thus does not require particular consideration about the frame format.
Referring back to
It should be noted that, as a scheme for the outer encoding operation performed by the outer-encoding operation circuit 52, hard-decision decoding is suitable, and a block code, such as a Bose-Chaudhuri-Hocquenghem (BCH) code or a Reed-Solomon (RS) code, in particular, is suitable because such a block code allows a circuit size to be made relatively smaller. Further, a concatenated code, a product code, or the like, which has a higher error correction capability than a single block code, may be used. In particular, as has been described with reference to
Further, the timing adjustment, the sequence order adjustment, and the like, which are performed by the outer-encoding input circuit 51 and the outer-encoding output circuit 53, vary depending on the type of an outer code to be employed, the presence/absence of interleaving and the configuration thereof, the presence/absence of scrambling and the type thereof, etc. However, any configuration may be used to realize the first embodiment of the present invention. Further, an output from the outer-encoding output circuit 53 is configured in a normal form of n parallel bus signals. However, the output may be subjected to conversion so as to be compliant with a predetermined interface standard, such as SFI. In this case, the outer encoding circuit 33 and the inner encoding circuit 34 may be installed in different devices.
Referring back to
Based on the predetermined frame format, the 1-1 interleaving circuit 72 and the 1-2 interleaving circuit 73 perform sorting processing on the sequence, and then outputs a resultant inner-encoding input sequence to the inner-encoding operation circuit 55. A specific scheme for this sorting is described later.
The inner-encoding operation circuit 55 performs an inner encoding operation with respect to the inner-encoding input sequence, and then outputs a resultant inner-encoding output sequence to the inner-encoding output circuit 56. It should be noted that, as a scheme for the inner encoding operation, the following may be applicable. Those are a block code, such as a BCH code or an RS code, a convolutional code, a convolutional turbo code, a block turbo code, a low-density parity-check (LDPC) code, and the like. Here, a suitable inner code is such a code that is soft-decision decodable and has a higher error correction capability. In particular, in the first embodiment of the present invention, description is given by assuming that the LDPC code is used.
In the inner-encoding output circuit 56, first, the 1-2 de-interleaving circuit 74 and the 1-1 de-interleaving circuit 75 perform sorting-back processing with respect to the inner-encoding output sequence, and then, a result thereof is transferred to the inner-encoding output I/F circuit 76. A specific scheme for this sorting-back is described later. It should be noted that this description is based on the assumption that the sorting-back processing is performed, but the sorting-back processing does not necessarily need to be performed depending on a condition of the predetermined frame format. Further, instead of the sorting-back processing, there may be performed sorting processing to obtain an order different from that when the sequence is input to the inner encoding circuit 34.
The inner-encoding output I/F circuit 76 performs output timing adjustment, scrambling processing, and the like, and then outputs a result thereof as a codeword sequence (parallel). Further, an output from the inner-encoding output circuit 56 is configured in a normal form of N parallel bus signals. However, the output may be subjected to conversion so as to be compliant with a predetermined interface standard, such as SFI. In this case, the inner encoding circuit 34 and the transmission-side multiplexing circuit 35 may be installed in different devices.
Lastly, the transmission-side multiplexing circuit 35 performs multiplexing conversion with respect to the codeword sequence (parallel) to generate a codeword sequence (serial), and then outputs the codeword sequence to the D/A converter 12.
It should be noted that information (data), which is to be transmitted between the circuits 31 and 35 of the error correction encoder 11, and further inside, between the circuits 51 and 56, 71 and 73, and 74 and 76, may be transferred by pipelining via buses connecting the circuits. Alternatively, a working storage area, which can be accessed by adjacent circuits located downstream and upstream of the circuit, may be provided to transfer information. Further, a particular section, for example, a section between the outer encoding circuit 33 and the inner encoding circuit 34, may be connected using a predetermined interface standard, such as SFI.
Description is given of an operation of the error correction decoder 23. It should be noted that the error correction decoder 23 has a circuit configuration corresponding to the error correction encoder 11, and has a function of decoding an error correction code obtained through the encoding by the error correction encoder 11.
In
It should be noted that the frame synchronization circuit 41 is necessary to detect an OH added to the quantized reception sequence and locate a head position of the frame when consideration is given to the frame format, such as the OTUk frame or the OTUkV frame, but the frame synchronization circuit 41 is not always necessary in a digital transmission system which is capable of continuous encoding and thus does not require particular consideration about the frame format.
The reception-side demultiplexing circuit 42 converts the quantized reception sequence (serial) into a sequence in parallel order. The quantized reception sequence (parallel) obtained through the conversion is output to the inner decoding circuit 43. A parallel number in this case is defined as “N”. The parallel number N may be defined with an arbitrary integer according to the predetermined frame format, but it is desired that the parallel number N be set to correspond to the transmission side. Thus, in the first embodiment of the present invention, description is given by assuming that N=512 to correspond to the transmission side.
Here, with regard to the quantized reception sequence obtained through the processing by the A/D converter 22, assuming that one transmission symbol is quantized into q bits, a case where q=1 is referred to as “hard decision”, whereas a case where q>1 is referred to as “soft decision”. In the first embodiment of the present invention, the case of the soft decision is assumed. Because q bits per one transmission symbol is regarded as one symbol and the one symbol is processed in a batched manner, description is given by assuming that the defined parallel number N corresponds to N parallel symbols for the sake of convenience.
Next, the inner decoding circuit 43 performs inner decoding processing (decoding of inner code). Hereinafter, description is given of the inner decoding processing with reference to
The soft-input value operation circuit 82 converts the quantized reception sequence (parallel) having q bits per one transmission symbol into soft-input values (parallel) having Q bits per one transmission symbol. This conversion processing is necessary in the case where a code suitable for the soft-decision decoding is selected, such as a convolutional code, a convolutional turbo code, a block turbo code, or an LDPC code. The conversion processing is unnecessary in the case of the hard-decision decoding. Further, in a case where it is possible to directly process the quantized reception sequence (parallel) having q bits per one transmission symbol as soft-input values (parallel), the conversion processing is unnecessary as well. A specific processing scheme varies depending on a code to be employed, a communication channel model, and the like. The first embodiment of the present invention is applicable to any scheme.
Based on the predetermined frame format, the 2-1 interleaving circuit 83 and the 2-2 interleaving circuit 84 perform sorting processing on the sequence, and then, a resultant inner-decoding input sequence is output to the inner-decoding operation circuit 62. A specific scheme for this sorting is described later. It should be noted that the sorting is performed in the order that corresponds to the order of the sorting performed by the 1-2 de-interleaving circuit 74 and the 1-1 de-interleaving circuit 75 on the transmission side. Accordingly, for example, in a case where the sorting-back processing is not performed on the transmission side or in a case where the sorting-back processing is different, it is necessary to adjust the order of the sorting according thereto.
The inner-decoding operation circuit 62 performs an inner decoding operation with respect to the inner-decoding input sequence, and then outputs a resultant inner-decoding output sequence to the inner-decoding output circuit 63. This processing for inner decoding is performed according to the scheme for inner encoding. In a case where a block code, such as a BCH code or an RS code, is selected, the hard-decision decoding is preferably performed. In a case where a convolutional code is selected, the soft-decision decoding is preferably performed. In a case where a convolutional turbo code, a block turbo code, an LDPC code, or the like is used, soft-decision iterative decoding is preferably performed. In the first embodiment of the present invention, in particular, description is given by assuming that the soft-decision iterative decoding is used for the LDPC code.
In the inner-decoding output circuit 63, first, the 2-2 de-interleaving circuit 85 and the 2-1 de-interleaving circuit 86 perform sorting-back processing with respect to the inner-decoding output sequence, and transfers a result thereof to the inner-decoding output I/F circuit 87. A specific scheme for this sorting-back is described later. It should be noted that this description is based on the assumption that the sorting-back processing is performed, but the sorting-back processing does not necessarily need to be performed depending on a condition of the predetermined frame format. The sorting-back processing may be performed according to the sorting processing on the transmission side so that the sequence is eventually returned to the order when the sequence is input to the 1-1 interleaving circuit 72.
The inner-decoding output I/F circuit 87 performs output timing adjustment, scrambling processing, and the like, and then outputs a result thereof as an inner-decoding output sequence (parallel). Further, an output from the inner-decoding output circuit 63 is configured in a normal form of n parallel bus signals corresponding to the transmission side. However, the output may be subjected to conversion so as to be compliant with a predetermined interface standard, such as SFI. In this case, the inner decoding circuit 43 and the outer decoding circuit 44 may be installed in different devices.
Referring back to
It should be noted that in a case where a block code suitable for the hard-decision decoding, such as a BCH code or an RS code, in particular, is selected as a scheme for outer encoding, hard-decision bounded-distance decoding corresponding to the outer encoding is performed in the outer decoding processing performed by the outer-decoding operation circuit 65. Further, in a case where a concatenated code, a product code, or the like is used as a scheme for outer encoding, it is desired that the hard-decision iterative decoding be performed in the outer-decoding operation circuit 65.
It should be noted that soft-decision information (Q′ bits per transmission symbol, Q′>1) may be output as an inner decoding result, to thereby perform the soft-decision iterative decoding with the outer code. Further, an erasure flag (flag indicating “1” in the case of erasure of one transmission symbol, and otherwise “0”) may be additionally output as an inner decoding result, and decoding based on erasure correction may be performed with the outer code. It should be noted that the outer decoding processing is preferably performed through the hard-decision decoding based on hard-decision information (Q′=1).
Further, the timing adjustment, the sequence order adjustment, and the like, which are performed by the outer-decoding input circuit 64 and the outer-decoding output circuit 66, vary depending on the type of an outer code to be employed, the presence/absence of interleaving and the configuration thereof, the presence/absence of scrambling and the type thereof, etc. However, any configuration may be used to realize the first embodiment of the present invention. Further, an input to the outer-decoding input circuit 64 is configured in a normal form of n parallel bus signals. However, the input may be subjected to conversion so as to be compliant with a predetermined interface standard, such as SFI. In this case, the inner decoding circuit 43 and the outer decoding circuit 44 may be installed in different devices.
The frame separation circuit 45 (corresponding to the frame generation circuit 32 on the transmission side) removes bits corresponding to an overhead (OH) signal and bits corresponding to a parity sequence from the estimated codeword sequence, and then outputs an estimated information sequence (parallel). Then, lastly, the reception-side multiplexing circuit 46 performs multiplexing conversion with respect to the estimated information sequence (parallel) to generate an estimated information sequence (serial), and then outputs the estimated information sequence in serial order or in a form compliant with a predetermined interface standard, such as SFI.
It should be noted that the frame separation circuit 45 is necessary when consideration is given to the frame format, such as the OTUk frame or the OTUkV frame, but the frame separation circuit 45 is not always necessary in a digital transmission system which is capable of continuous encoding and thus does not require particular consideration about the frame format.
It should be noted that information (data), which is to be transmitted between the circuits 41 and 46 of the error correction decoder 23, and further inside, between the circuits 61 and 66, 81 and 84, and 85 and 87, may be transferred by pipelining via buses connecting the circuits. Alternatively, a working storage area, which can be referenced by adjacent circuits located downstream and upstream of the circuit, may be provided to transfer information. Further, a particular section, for example, a section between the inner decoding circuit 43 and the outer decoding circuit 44, may be connected using a predetermined interface standard, such as SFI.
Here, description is given of the interleaving processing and the de-interleaving processing, which are performed in the inner encoding circuit 34 and the inner decoding circuit 43.
Here, the problem is the areas of inner code parity sequences, which are indicated by black blocks at the 63rd column, the 135th column, the 207th column, and the 279th column, and which cause non-uniformity. Those areas (128 (bits)×4 (columns)) occur due to constraint conditions imposed by the frame length of the OTUk frame and the parallel number N (=512). In the case of using an LDPC code as the inner code, it is not practical to allocate only one codeword of the LDPC code to the OTUkV frame in consideration of the circuit size, and thus a plurality of codewords need to be allocated to the OTUkV frame. Specifically, the areas of the overhead, the payload, and the outer code parity sequence need to be allocated to an information sequence having a plurality of LDPC codewords, and also, the area of the inner code parity sequence indicated in black and thick gray needs to be allocated to a parity sequence having a plurality of LDPC codewords. For example, in a case where, as an allocation scheme, those areas are divided into different codewords on a line basis, allocation ratios between the information sequence area and the parity sequence area become non-uniform between the upper 384 lines and the lower 128 lines.
As one solution scheme therefor, it is conceivable to allocate LDPC codes having different information lengths and parity lengths between the upper side and the lower side. However, in this case, two kinds of inner encoders and inner decoders need to be mounted, respectively, and hence this solution is not an efficient scheme.
In view of the above, in the first embodiment of the present invention, interleaving is carried out, in which a parallel input sequence is divided into given L lanes, and a given barrel shift is performed for each inner frame. With this configuration, the allocation ratios between the information sequence area and the parity sequence area are made uniform.
First, the parallel input sequence having the parallel number N=512 is divided into given lanes. Here, one lane is set for each 128 bits, and there is provided a configuration having a total of L (=4) lanes. Incidentally, the 4-lane configuration has a good compatibility with a modulation scheme combining a multi-level modulation, such as quadrature phase shift keying (QPSK), and polarization multiplexing of a polarization channel (x-polarized wave and y-polarized wave), which has been becoming mainstream in optical communications in recent years. It should be noted that the lane number L may be defined with an arbitrary integer according to the predetermined frame format, and that the first embodiment of the present invention may be realized with any number.
Next, processing of interchanging lanes on a column basis is performed. As a scheme for this interchanging on a column basis, various schemes may be employed. For example, it is conceivable to perform the sorting by means of the barrel shift in units of lanes (units of 128 bits) for each column. Further, it is conceivable to vary a shift amount of the barrel shift for each of four FEC frames contained in one OTUkV frame.
Next, an allocation scheme for codewords of the LDPC code is determined. For this allocation scheme, various schemes may be employed according to the predetermined frame format. Here, there is assumed a scheme in which different codewords are allocated to a codeword sequence of the LDPC code on a line basis.
One merit of the first embodiment of the present invention is that an interleaving depth may be expanded easily. In the paragraphs described above, the interleaving depth is set to one OTUkV frame. However, the interleaving depth may be set to two OTUkV frames or four OTUkV frames.
It should be noted that in the case where the interleaving depth is set to four OTUkV frames, the sorting in the 1-1 interleaving circuit 72 may be performed using a scheme of setting a different barrel shift amount for each OTUkV frame, apart from the scheme of setting a different barrel shift amount for each FEC frame.
The 1-2 de-interleaving circuit 74 performs processing of returning the order of the inner-encoding output sequence, that is, the order of the LDPC codeword sequence, to the sequence order obtained when the inner-encoding output sequence is input to the 1-2 interleaving circuit 73. Further, the 1-1 de-interleaving circuit 75 performs processing of returning the sequence to the sequence order obtained when the sequence is input to the 1-1 interleaving circuit 72 by performing an operation of reversing a barrel shift operation performed in the 1-1 interleaving circuit 72. It should be noted that this description is based on the assumption that the sorting-back processing is performed, but the sorting-back processing does not necessarily need to be performed depending on a condition of the predetermined frame format. Further, instead of the sorting-back processing, there may be performed sorting processing to obtain an order different from that when the frame sequence is input to the inner encoding circuit 34.
The 2-1 interleaving circuit 83 performs the same operation as the barrel shift operation performed in the 1-1 interleaving circuit 72 with respect to the quantized reception sequence (parallel). The 2-2 interleaving circuit 84 performs the same operation as an operation of LDPC codeword sequence allocation performed in the 1-2 interleaving circuit 73, and then outputs the inner-decoding input sequence, that is, a soft-input sequence on an LDPC codeword basis. It should be noted that the sorting is performed in the order that corresponds to the order of the sorting performed by the 1-2 de-interleaving circuit 74 and the 1-1 de-interleaving circuit 75 on the transmission side. Accordingly, for example, in the case where the sorting-back processing is not performed on the transmission side or in the case where the sorting-back processing is different, it is necessary to adjust the order of the sorting according thereto.
The 2-2 de-interleaving circuit 85 performs processing of returning the order of the inner-decoding output sequence, that is, the order of an LDPC estimated codeword sequence, to the sequence order obtained when the inner-decoding output sequence is input to the 2-2 interleaving circuit 84. Further, the 2-1 de-interleaving circuit 86 performs processing of returning the sequence to the sequence order obtained when the sequence is input to the 2-1 interleaving circuit 83 by performing an operation of reversing the barrel shift operation performed in the 2-1 interleaving circuit 83. It should be noted that this description is based on the assumption that the sorting-back processing is performed, but the sorting-back processing does not necessarily need to be performed depending on a condition of the predetermined frame format. The sorting-back processing may be performed according to the sorting processing on the transmission side so that the sequence is eventually returned to the order when the sequence is input to the 1-1 interleaving circuit 72.
It should be noted that the embodiment described above is not limited to the parameters described in the specific example, and, as is obvious, as long as it is possible to appropriately combine the scheme for error correction encoding, the length of the frame format, the parallel number for input/output, the transmission speed, etc., any combination may be used to realize the embodiment.
Further, the present invention is not limited to optical transmission systems for its application, and is applicable to various kinds of transmission systems, such as subscriber wire communications, mobile wireless communications, and satellite communications.
Further, in the embodiment described above, there has been given an example in which the encoding processing for inner code is performed after the encoding processing for outer code is performed in the error correction encoder 11, but the present invention is not limited to this case. After the encoding processing for inner code is performed, the encoding processing for outer code may be performed. Further, similarly, in the embodiment described above, there has been given an example in which the decoding processing for outer code is performed after the decoding processing for inner code is performed, but the present invention is not limited to this case. After the decoding processing for outer code is performed, the decoding processing for inner code may be performed.
As described above, according to the first embodiment of the present invention, there are provided the outer encoding circuit 33, the inner encoding circuit 34, the inner decoding circuit 43, the outer decoding circuit 44, the input circuits and output circuits having the interleaving function of performing the given barrel shift, and the input circuits and output circuits having the de-interleaving function of performing the given barrel shift. Such a configuration enables the allocation ratios between the information sequence area and the parity sequence area to be made uniform, and hence it is possible to improve a processing throughput and enhance an error correction capability through avoiding a constraint imposed on the frame structure.
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