Certain aspects of the present disclosure provide low-density parity-check (LDPC) codes having pairwise orthogonality of adjacent rows, and a new decoder that exploits the pairwise row orthogonality for flexible decoder scheduling without performance loss. An apparatus includes a receiver configured to receive a codeword in accordance with a radio technology across a wireless channel via one or more antenna elements situated proximal the receiver. The apparatus includes at least one processor coupled with a memory and comprising decoder circuitry configured to decode the codeword based on a LDPC code to produce a set of information bits. The LDPC code is stored in the memory and defined by a base matrix having columns in which all adjacent rows are orthogonal in a last portion of the rows.
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27. A method for wireless communication, comprising:
encoding a set of information bits with encoder circuitry based on a low density parity check (LDPC) code to produce a codeword wherein:
the LDPC code is stored in a memory and defined by a base matrix having a first number plurality of columns corresponding to variable nodes of a base graph and a second number plurality of rows corresponding to check nodes of the base graph, and;
elements in all adjacent rows of a column are orthogonal, for each of the first number plurality of columns, all adjacent rows are orthogonal in a last portion of the second number of at least twenty-one rows starting from a last row of the base matrix; and
each row of the twenty-one rows contains a non-zero element in a first column, of the plurality of columns, with a column index 0, or a non-zero element in a second column, of the plurality of columns, with a column index 1; and
transmitting the codeword in accordance with a radio technology across a wireless channel via one or more antenna elements.
22. A method for wireless communication, comprising:
receiving a codeword in accordance with a radio technology across a wireless channel via one or more antenna elements situated proximal a receiver; and
decoding the codeword via decoder circuitry based on a low density parity check (LDPC) code to produce a set of information bits, wherein:
the LDPC code is stored in a memory and defined by a base matrix having a first number plurality of columns corresponding to variable nodes of a base graph and a second number plurality of rows corresponding to check nodes of the base graph, and;
elements in all adjacent rows of a column are orthogonal, for each of the first number plurality of columns, all adjacent rows are orthogonal in a last portion of the second number of at least twenty-one rows starting from a last row of the base matrix; and
each row of the twenty-one rows contains a non-zero element in a first column, of the plurality of columns, with a column index 0, or a non-zero element in a second column, of the plurality of columns, with a column index 1.
15. An apparatus for wireless communication, comprising:
at least one processor coupled with a memory and comprising an encoder circuit configured to encode a set of information bits based on a low density parity check (LDPC) code to produce a codeword, wherein:
the LDPC code is stored in the memory and defined by a base matrix having a first number plurality of columns corresponding to variable nodes of a base graph and a second number plurality of rows corresponding to check nodes of the base graph, and;
elements in all adjacent rows of a column are orthogonal, for each of the first number plurality of columns, all adjacent rows are orthogonal in a last portion of the second number of at least rows starting from a last row of the base matrix; and
each row of the twenty-one rows contains a non-zero element in a first column, of the plurality of columns, with a column index 0, or a non-zero element in a second column, of the plurality of columns, with a column index 1; and
a transmitter configured to transmit the codeword in accordance with a radio technology across a wireless channel via one or more antenna elements arranged proximal the transmitter.
1. An apparatus for wireless communication, comprising:
a receiver configured to receive a codeword in accordance with a radio technology across a wireless channel via one or more antenna elements situated proximal the receiver; and
at least one processor coupled with a memory and comprising decoder circuitry configured to decode the codeword based on a low density parity check (LDPC) code to produce a set of information bits, wherein:
the LDPC code is stored in the memory and defined by a base matrix having a first number plurality of columns corresponding to variable nodes of a base graph and a second number plurality of rows corresponding to check nodes of the base graph, and;
elements in all adjacent rows of a column are orthogonal, for each of the first number plurality of columns, all adjacent rows are orthogonal in a last portion of the second number of at least twenty-one rows starting from a last row of the base matrix; and
each row of the twenty-one rows contains a non-zero element in a first column, of the plurality of columns, with a column index 0, or a non-zero element in a second column, of the plurality of columns, with a column index 1.
2. The apparatus of
3. The apparatus of
4. The apparatus of
0. 5. The apparatus of
0. 6. The apparatus of
7. The apparatus of
8. The apparatus of
9. The apparatus of
10. The apparatus of
11. The apparatus of
12. The apparatus of
13. The apparatus of
14. The apparatus of
the codeword comprises a punctured codeword,; and
the at least one processor further comprises a depuncturer configured to depuncture the codeword, and
the decoding comprises decoding the depunctured codeword.
16. The apparatus of
17. The apparatus of
18. The apparatus of
0. 19. The apparatus of
20. The apparatus of
the at least one processor is further configured to lifted the LDPC code by generating generate an integer number of copies of the base matrix; and
the LDPC code comprises a lifted LDPC code to lift the LDPC code.
21. The apparatus of
the at least one processor further comprises a puncturer configured to puncture the codeword, and
the transmitting the codeword comprises transmitting transmitter is configured to transmit the punctured codeword.
23. The method of
0. 24. The method of
25. The method of
26. The method of
28. The method of
0. 29. The method of
30. The method of
0. 31. The apparatus of claim 1, wherein each row of the plurality of rows, except the twenty-one rows, contains a non-zero element in the first column, a non-zero element in the second column, or a non-zero element in both the first column and the second column.
0. 32. The apparatus of claim 1, wherein:
the set of information bits is K information bits, where K is a positive integer;
the base matrix is a base matrix H lifted by a lifting factor Z;
the plurality of columns consists of V columns corresponding to i variable nodes, where V is 68;
the plurality of rows consists of C rows corresponding to j check nodes, where C is 46; and
the elements in the base matrix are represented by a row index i and a column index j.
0. 33. The apparatus of claim 32, wherein an element Vi,j of the base matrix is a non-zero element at least when i=[25], j=[1]; i=[26], j=[0]; i=[27], j=[1]; i=[28], j=[0]; i=[29], j=[1]; i=[30], j=[0]; i=[31], j=[1]; i=[32], j=[0]; i=[33], j=[1]; i=[34], j=[0]; i=[35], j=[1]; i=[36], j=[0]; i=[37], j=[1]; i=[38], j=[0]; i=[39], j=[1]; i=[40], j=[0]; i=[41], j=[1]; i=[42], j=[0]; i=[43], j=[1]; i=[44], j=[0]; i=[45], j=[1].
0. 34. The apparatus of claim 33, wherein an element Vi,j of the base matrix is further a non-zero element at least when j=[0] and i=[24], i=[22], i=[20], i=[19], i=[17], i=[15], i=[14], i=[13], i=[12], i=[11], i=[9], i=[8], i=[7], i=[6], i=[5], i=[4], i=[3], i=[2], i=[1], i=[0]; and when j=[1] and i=[23], i=[21], i=[20], i=[19], i=[18], i=[16], i=[15], i=[12], i=[11], i=[10], i=[9], i=[8], i=[7], i=[5], i=[4], i=[3], i=[2], i=[0].
0. 35. The apparatus of claim 1, wherein:
the receiver is configured to receive the codeword in accordance with a radio technology across a wireless channel via one or more antenna elements situated proximal the receiver;
the at least one processor is configured to select a combination pairs of rows from any three sequential rows in the twenty-one rows; and
the at least one processor comprises decoder circuitry configured to simultaneously decode each pair of rows.
0. 36. The apparatus of claim 1, wherein the first column having the column index 0 and the second column having the column index 1 have a highest degree among the plurality of columns, where the first column and the second column have a highest number of non-zero entries among the plurality of columns.
0. 37. The apparatus of claim 36, wherein:
the codeword comprises a punctured codeword, where systematic bits corresponding to the first column and the second column are punctured; and
the at least one processor comprises a depuncturer configured to depuncture the systematic bits corresponding to the first column and the second column.
0. 38. The apparatus of claim 15, wherein each row of the plurality of rows, except the twenty-one rows, contains a non-zero element in the first column, a non-zero element in the second column, or a non-zero element in both the first column and the second column.
0. 39. The apparatus of claim 15, wherein:
the set of information bits is K information bits, where K is a positive integer;
the base matrix is a base matrix H lifted by a lifting factor Z;
the plurality of columns consists of V columns corresponding to i variable nodes, where V is 68;
the plurality of rows consists of C rows corresponding to j check nodes, where C is 46; and
the elements in the base matrix are represented by a row index i and a column index j.
0. 40. The apparatus of claim 39, wherein an element Vi,j of the base matrix is a non-zero element at least when i=[25], j=[1]; i=[26], j=[0]; i=[27], j=[1]; i=[28], j=[0]; i=[29], j=[1]; i=[30], j=[0]; i=[31], j=[1]; i=[32], j=[0]; i=[33], j=[1]; i=[34], j=[0]; i=[35], j=[1]; i=[36], j=[0]; i=[37], j=[1]; i=[38], j=[0]; i=[39], j=[1]; i=[40], j=[0]; i=[41], j=[1]; i=[42], j=[0]; i=[43], j=[1]; i=[44], j=[0]; i=[45], j=[1].
0. 41. The apparatus of claim 40, wherein an element Vi,j of the base matrix is further a non-zero element at least when j=[0] and i=[24], i=[22], i=[20], i=[19], i=[17], i=[15], i=[14], i=[13], i=[12], i=[11], i=[9], i=[8], i=[7], i=[6], i=[5], i=[4], i=[3], i=[2], i=[1], i=[0]; and when j=[1] and i=[23], i=[21], i=[20], i=[19], i=[18], i=[16], i=[15], i=[12], i=[11], i=[10], i=[9], i=[8], i=[7], i=[5], i=[4], i=[3], i=[2], i=[0].
0. 42. The apparatus of claim 15, wherein:
the transmitter is configured to transmit the codeword in accordance with a radio technology across a wireless channel via one or more antenna elements situated proximal the transmitter;
the at least one processor is configured to select a combination pairs of rows from any three sequential rows in the twenty-one rows; and
the at least one processor comprises encoder circuitry configured to simultaneously encode each pair of rows.
0. 43. The apparatus of claim 15, wherein the first column having the column index 0 and the second column having the column index 1 have a highest degree among the plurality of columns, where the first column and the second column have a highest number of non-zero entries among the plurality of columns.
0. 44. The apparatus of claim 43, wherein the at least one processor comprises a puncturer configured to puncture systematic bits in the codeword corresponding to the first column and the second column.
0. 45. The apparatus of claim 1, wherein the receiver is configured to receive the codeword in accordance with a radio technology across a wireless channel via one or more antenna elements situated proximal the receiver.
0. 46. The apparatus of claim 15, wherein the transmitter is configured to transmit the codeword in accordance with a radio technology across a wireless channel via one or more antenna elements situated proximal the transmitter.
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Shortening can be applied before the LDPC encoding. Systematic bits may be punctured.
Aspects of the present disclosure provide LDPC encoders using LDPC codes having pairwise orthogonality of adjacent rows in the PCM describing the code and LDPC decoders that can exploit the LDPC coding with the pairwise row orthogonality to perform flexible decoder scheduling without performance loss.
In NR, the PCM for some basegraphs used for LDPC coding have the PCM structure 1100 shown in
The PCM structure 1100 also includes a lower portion with the region 1108 and the region 1110. In some examples, the lower portion of the PCM structure 1100 may be used for puncturing and/or incremental redundancy (IR) HARQ. The region 1110 may be a diagonal matrix (i.e., a diagonal of entries with the rest not having entries, i.e., zero). The lower diagonal structure may ensure that puncturing of the mother code does not require decoding of the mother code, thereby reducing complexity. The diagonal structure may render the code amenable to node-parallel decoding architectures. The columns of region 1110 may correspond to HARQ bits and the region 1108. According to certain aspects, the region 1108 (and also maybe a portion of the region 1110) in the lower power portion of the PCM structure 1100 may have pairwise row orthogonality in each adjacent row.
Although
According to certain aspects, at least a portion of the description of the basegraph may be stored on chip, for example, at the BS and/or the UE. The description may be basegraph, the PCM, or some other representation of the sparse matrix.
To recover the information bits, the receiving decodes the codeword received from the transmitting device. The receiving device may decode according to decoding schedule. The receiving device may decode the codeword using a layered decoder. The decoding schedule may be based, at least in part, on the stored description of the basegraph. The decoding schedule may decode the codeword row by row (e.g., using the basegraph). The decoding schedule may decode the codeword column by column. The decoding schedule may decode the two columns at a time (e.g., within a row or pair of rows). The decoding schedule may skip absent entries for decoding.
In some examples, the receiving device may use a new decoder with improved performance. The decoder may exploit the pairwise orthogonality of the LDPC described herein to increase decoding speed, for example, by decoding the codeword by pairs of rows at a time, without performance loss. In addition, the decoder may have increased decoding scheduling flexibility, due to the pairwise row orthogonality, because for any set of three consecutive rows in the lower portion of the code, the decoder can select between two different orthogonal combinations for simultaneous decoding.
The processing system 1302 includes a processor 1304 coupled to a computer-readable medium/memory 1312 via a bus 1306. In certain aspects. the computer-readable medium/memory 1312 is configured to store instructions (e.g., computer executable code) that when executed by the processor 1304, cause the processor 1304 to perform the operations illustrated in
The operations 1400 begin, at 1402. by receiving a codeword (e.g., or punctured codeword) in accordance with a radio technology (e.g., NR or 5G radio technology) across a wireless channel via one or more antenna elements situated proximal a receiver. At 1404, the receiving device decodes (e.g., with a layered decoder) the codeword (e.g., and depunctures if the codeword is punctured) via decoder circuitry based on a LDPC code to produce a set of information bits. The LDPC code (e.g., or a lifted LDPC code) is stored and defined by a base matrix having a first number of columns corresponding to variable nodes of a base graph and a second number of rows corresponding to check nodes of the base graph. For each of the first number of columns, all adjacent rows are orthogonal in a last portion (e.g., the bottom 21 rows) of the second number of rows. For example, in each of the first number of columns, at most one row of each pair of the adjacent orthogonal rows in the last portion of the rows has an entry. The decoding may be based on a decoding schedule. The decoding schedule may include decoding sequentially row by row in the base matrix or by simultaneously decoding pairs of rows (e.g., an column by column) in the base matrix. The receiving device may select from two combinations of two rows from any three sequential rows in the last portion for the simultaneous decoding pairs of the decoding schedule. The decoding schedule skips for decoding portions of the base matrix that do not contain an associated entry.
The operations 1500 begin, at 1502. by encoding a set of information bits with encoder circuitry based on a LDPC code to produce a codeword. The LDPC code is defined by a base matrix having a first number of columns corresponding to variable nodes of a base graph and a second number of rows corresponding to check nodes of the base graph. For each of the first number of columns, all adjacent rows are orthogonal in a last portion of the second number of rows. At 1504, the transmitting device transmits the codeword in accordance with a radio technology across a wireless channel via one or more antenna elements.
The methods disclosed herein comprise one or more steps or actions for achieving the methods. The method steps and/or actions may be interchanged with one another without departing from the scope of the claims. In other words, unless a specific order of steps or actions is specified, the order and/or use of specific steps and/or actions may be modified without departing from the scope of the claims.
As used herein, a phrase referring to “at least one of” a list of items refers to any combination of those items, including single members. As an example, “at least one of: a, b, or c” is intended to cover a, b, c, a-b, a-c, b-c, and a-b-c, as well as any combination with multiples of the same element (e.g., a-a, a-a-a, a-a-b, a-a-c, a-b-b, a-c-c, b-b, b-b-b, b-b-c, c-c, and c-c-c or any other ordering of a, b, and c).
As used herein, the term “determining” encompasses a wide variety of actions. For example, “determining” may include calculating, computing, processing, deriving, investigating, looking up (e.g., looking up in a table, a database or another data structure), ascertaining and the like. Also, “determining” may include receiving (e.g., receiving information), accessing (e.g., accessing data in a memory) and the like. Also, “determining” may include resolving, selecting, choosing, establishing and the like.
The previous description is provided to enable any person skilled in the art to practice the various aspects described herein. Various modifications to these aspects will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other aspects. Thus, the claims are not intended to be limited to the aspects shown herein, but is to be accorded the full scope consistent with the language of the claims, wherein reference to an element in the singular is not intended to mean “one and only one” unless specifically so stated, but rather “one or more.” Unless specifically stated otherwise, the term “some” refers to one or more. All structural and functional equivalents to the elements of the various aspects described throughout this disclosure that are known or later come to be known to those of ordinary skill in the art are expressly incorporated herein by reference and are intended to be encompassed by the claims. Moreover, nothing disclosed herein is intended to be dedicated to the public regardless of whether such disclosure is explicitly recited in the claims. No claim element is to be construed under the provisions of 35 U.S.C. § 112(f) unless the element is expressly recited using the phrase “means for” or, in the case of a method claim, the element is recited using the phrase “step for.”
The various operations of methods described above may be performed by any suitable means capable of performing the corresponding functions. The means may include various hardware and/or software component(s) and/or module(s), including, but not limited to a circuit, an application specific integrated circuit (ASIC), or processor. Generally, where there are operations illustrated in figures, those operations may have corresponding counterpart means-plus-function components with similar numbering.
The various illustrative logical blocks, modules and circuits described in connection with the present disclosure may be implemented or performed with a general purpose processor, a digital signal processor (DSP), an application specific integrated circuit (ASIC), a field programmable gate array (FPGA) or other programmable logic device (PLD), discrete gate or transistor logic, discrete hardware components, or any combination thereof designed to perform the functions described herein. A general-purpose processor may be a microprocessor, but in the alternative, the processor may be any commercially available processor, controller, microcontroller, or state machine. A processor may also be implemented as a combination of computing devices, e.g., a combination of a DSP and a microprocessor, a plurality of microprocessors, one or more microprocessors in conjunction with a DSP core, or any other such configuration.
If implemented in hardware, an example hardware configuration may comprise a processing system in a wireless node. The processing system may be implemented with a bus architecture. The bus may include any number of interconnecting buses and bridges depending on the specific application of the processing system and the overall design constraints. The bus may link together various circuits including a processor, machine-readable media, and a bus interface. The bus interface may be used to connect a network adapter, among other things, to the processing system via the bus. The network adapter may be used to implement the signal processing functions of the PHY layer. In the case of a user terminal 120 (see
If implemented in software, the functions may be stored or transmitted over as one or more instructions or code on a computer readable medium. Software shall be construed broadly to mean instructions, data, or any combination thereof, whether referred to as software, firmware, middleware, microcode, hardware description language, or otherwise. Computer-readable media include both computer storage media and communication media including any medium that facilitates transfer of a computer program from one place to another. The processor may be responsible for managing the bus and general processing, including the execution of software modules stored on the machine-readable storage media. A computer-readable storage medium may be coupled to a processor such that the processor can read information from, and write information to, the storage medium. In the alternative, the storage medium may be integral to the processor. By way of example, the machine-readable media may include a transmission line, a carrier wave modulated by data, and/or a computer readable storage medium with instructions stored thereon separate from the wireless node, all of which may be accessed by the processor through the bus interface. Alternatively, or in addition, the machine-readable media, or any portion thereof, may be integrated into the processor, such as the case may be with cache and/or general register files. Examples of machine-readable storage media may include, by way of example, RAM (Random Access Memory), flash memory, ROM (Read Only Memory), PROM (Programmable Read-Only Memory), EPROM (Erasable Programmable Read-Only Memory), EEPROM (Electrically Erasable Programmable Read-Only Memory), registers, magnetic disks, optical disks, hard drives, or any other suitable storage medium, or any combination thereof. The machine-readable media may be embodied in a computer-program product.
A software module may comprise a single instruction, or many instructions, and may be distributed over several different code segments, among different programs, and across multiple storage media. The computer-readable media may comprise a number of software modules. The software modules include instructions that, when executed by an apparatus such as a processor, cause the processing system to perform various functions. The software modules may include a transmission module and a receiving module. Each software module may reside in a single storage device or be distributed across multiple storage devices. By way of example, a software module may be loaded into RAM from a hard drive when a triggering event occurs. During execution of the software module, the processor may load some of the instructions into cache to increase access speed. One or more cache lines may then be loaded into a general register file for execution by the processor. When referring to the functionality of a software module below, it will be understood that such functionality is implemented by the processor when executing instructions from that software module.
Also, any connection is properly termed a computer-readable medium. For example, if the software is transmitted from a website, server, or other remote source using a coaxial cable, fiber optic cable, twisted pair, digital subscriber line (DSL), or wireless technologies such as infrared (IR), radio, and microwave, then the coaxial cable, fiber optic cable, twisted pair, DSL, or wireless technologies such as infrared, radio, and microwave are included in the definition of medium. Disk and disc, as used herein, include compact disc (CD), laser disc, optical disc, digital versatile disc (DVD), floppy disk, and Blu-ray® disc where disks usually reproduce data magnetically, while discs reproduce data optically with lasers. Thus, in some aspects computer-readable media may comprise non-transitory computer-readable media (e.g., tangible media). In addition, for other aspects computer-readable media may comprise transitory computer-readable media (e.g., a signal). Combinations of the above should also be included within the scope of computer-readable media.
Thus, certain aspects may comprise a computer program product for performing the operations presented herein. For example, such a computer program product may comprise a computer-readable medium having instructions stored (and/or encoded) thereon, the instructions being executable by one or more processors to perform the operations described herein. For example, instructions for performing the operations described herein and illustrated in
Further, it should be appreciated that modules and/or other appropriate means for performing the methods and techniques described herein can be downloaded and/or otherwise obtained by a user terminal and/or base station as applicable. For example, such a device can be coupled to a server to facilitate the transfer of means for performing the methods described herein. Alternatively, various methods described herein can be provided via storage means (e.g., RAM, ROM, a physical storage medium such as a compact disc (CD) or floppy disk, etc.), such that a user terminal and/or base station can obtain the various methods upon coupling or providing the storage means to the device. Moreover, any other suitable technique for providing the methods and techniques described herein to a device can be utilized.
It is to be understood that the claims are not limited to the precise configuration and components illustrated above. Various modifications, changes and variations may be made in the arrangement, operation and details of the methods and apparatus described above without departing from the scope of the claims.
Soriaga, Joseph Binamira, Sarkis, Gabi, Kudekar, Shrinivas, Richardson, Thomas Joseph
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