T1 Version 2 5G NR LDPC Code Revision (DOWNLOAD)

NOTE: This section is Under-Edit if necessary: Construction began on December 10, 2024. and was finished on December 10, 2024.

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Product Description

AdvDCSMT1DCSS Version 2, Professional, with the addition of 5G NR LDPC Code Revision with Single User-Single Computer Software License.

Advanced Digital Communication System Modeler (AdvDCSM) Software System Tool: AdvDCSM DCSS (Digital Communication System Simulator) known as T1.

T1 Version 2, the Professional Version of T1, has been developed that will provide to the User the capabilities/features of T1 Version 1 and the following additional capabilities/features:

1) LOW-DENSITY PARITY-CHECK (LDPC) CODED SIGNALING over a Memoryless, or Memory Single Channel; or a Parallel MultiChannel/MultiCarrier Channel in complex Digital Communications Systems {REGULAR and IRREGULAR GALLAGER CODES; ARRAY CODES; REGULAR and IRREGULAR REPEAT-ACCUMULATE CODES; PERMUTATION and QUASI-CYCLIC PROTOGRAPH-BASED STRUCTURED CODES; and FIFTH-GENERATION NEAR RADIO (5G NR) CODES; M-ary Modulations: Binary Modulation Schemes [Binary Phase Shift Keying (BPSK), Binary Pulse Amplitude Modulation (2-PAM), & Binary Frequency Shift Keying (BFSK)] and M > 2 Modulation Schemes (M-PSK, M-PAM, M-QAM, & M-FSK where M = 4, 8, 16, 32, and 64); ITERATIVE MESSAGE-PASSING LDPC CHANNEL DECODING [Flooding and Layered Schedule Sum-Product Algorithm (UnQuantized or Quantized) and Bit Flipping Algorithm]} (modeling & simulation);

Note 1: T1 Professional provides the capability of decoding LDPC Coded M-ary Signaling over a Discrete MultiTone (DMT) Modulation MultiCarrier/MultiChannel [Orthogonal frequency-division Multiplexing (OFDM) FFT-Based] with Additive White Gaussian Noise (AWGN). This capability is in addition to the ability to decode LDPC Coded M-ary Signaling over an AWGN or Crosstalk (Xtalk) Parallel MultiChannels with AWGN.

Note 2: T1 Professional supports Orthogonal Binary PSK (PI/2 BPSK) and Square 256-QAM for Low-Density Parity-Check Coded Signaling over a Parallel MultiChannel. These schemes are in addition to the other T1 supported Modulation Schemes (PSK: M = 2, 4, 8, 16, 32, 64; PAM: M = 2, 4, 8, 16, 32, 64; QAM; M = 4, 16, 64; FSK: M = 2, 4, 8, 16, 32, 64).

Note 3: T1 Professional provides the capability of decoding LDPC Coded M-ary Signaling over an AWGN or FFT-Based DMT Modulation Parallel MultiChannel with Fading and AWGN (Rayleigh or Rician). The User can select to use or not use Perfect Channel Side Information (CSI) Demodulation.

1a) CONSTRUCTION of LOW-DENSITY PARITY-CHECK BINARY CODES [Parity-Check Matrix H Column Weight (j), Row Weight (k), Code Blocklength (N)]:

REGULAR SYSTEMATIC GALLAGER CODES: k = 4, N = 1008 MAX; k = 5, N = 1260 MAX; k = 6, N = 1512 MAX;

IRREGULAR SYSTEMATIC GALLAGER CODES:

1) Parity-Check Matrix Row Weight (k) Distribution:

k = 4, N Init = 1008 MAX; k = 5, N Init = 1260 MAX; k = 6, N Init = 1512 MAX; where k is the Initial Row Weight and N Init is the Initial Code Length prior to the Parity-Check Matrix H generation;

2) Parity-Check Matrix Column Weight (j) Distribution:

j = 3, k = 4, N = 1008 MAX; k = 5, N = 1260 MAX; k = 6, N = 1512 MAX;

j = 4, k = 5, N = 1260 MAX; k = 6, N = 1512 MAX;

j = 5, k = 6, N = 1512 MAX;

where j is the Initial Column Weight and N is the Code Length prior to the Parity-Check Matrix H generation;

ARRAY CODES: j = 6, k = 67, p = 67, N = 4489 MAX;

REGULAR SYSTEMATIC REPEAT-ACCUMULATE (RA) CODES: K = 299, N = 300 MAX; and

IRREGULAR SYSTEMATIC REPEAT-ACCUMULATE (RA) CODE:: K = 50, N = 51 MAX;

PERMUTATION (P) PROTOGRAPH-BASED CODES (PGC) using Single-Edge (SE) Base Graphs (BG): N = 4608 MAX; Base Graph (Matrix) (Hb) Size 8 x 12 MAX;

QUASI-CYCLIC (QC) PROTOGRAPH-BASED CODES (PGC) using Single-Edge (SE) or Multi-Edge (ME) Base Graph (BG): N = 4608 MAX; Base Graph (Matrix (Hb) Size 8 x 12 MAX;

FIFTH-GENERATION NEAR RADIO (5G NR) CODES:

Fifth-Generation Near Radio (5G NR) Codes: CodeWord Length N = 26112 MAX, Base Graph (Hb) 1 Size 46 x 68; N = 19968 MAX, Base Graph (Hb) 2 Size 42 x 52.

NOTE 4: The T1 V2 implemented 5G NR code's Maximum N is dependent on the User's computer capacity to run that code in practical time for a given number of transmitted Information Bits.

NOTE 5: The Maximum Lifting Size (Z) is 384. But it is important to realize that the actual maximum Lifting Size for a particular Windows PC & T1 V2 combination is dependent on the memory capacity and speed of the Windows PC that T1 V2 is running on.

PUNCTURED 5G NR CODES:

There two types of 5G NR LDPC Code Puncture: 1) Type 1 [Lifted Base Graph 1 (2) Column 1 Info Bits Deleted]; and Type 2 [Lifted Base Graph 1 (2) Column 1 & 2 Info Bits Deleted].

RATE MATCH and RATE MATCHING PUNCTURED 5G NR CODES:

For a 5G NR LDPC Coded Signaling Simulation, the User can use a T1 V2 Rate Matching (RM) procedure with or without Puncture for Generator-Based 5G NR Encoding or Parity-Check Matrix-Based 5G NR Encoding. The T1 V2 Rate Model is based on the REDUNDANCY VERSION (RV) 0 model. This RM procedure will allow the 5G NR Coded Signaling Code Rate to be increased as compared to the parent 5G NR Code Rate.

2) TURBO CODED SIGNALING over a Memoryless or Memory Single Channel in complex Digital Communications Systems {Turbo Codes constructed from Recursive Systematic Convolutional Codes Rate = 1/2, 1/3, and 1/4; M-ary Modulations: Binary Modulation Schemes [Binary Phase Shift Keying (BPSK), Binary Pulse Amplitude Modulation (2-PAM), & Binary Frequency Shift Keying (BFSK)] and M > 2 Modulation Schemes (M-PSK, M-PAM, M-QAM, & M-FSK where M = 4, 8, 16, 32, and 64); Iterative and Non-Iterative Turbo Channel Decoding} (modeling & simulation);

2a) PUNCTURED TURBO CODED SIGNALING over a Memoryless or Memory Single Channel in complex Digital Communication Systems {Punctured Turbo Codes constructed from Rate = 1/3, 1/5, and 1/7 Parent Turbo Codes for Puncturing Period = 2); M-ary Modulations: Binary Modulation Schemes [Binary Phase Shift Keying (BPSK), Binary Pulse Amplitude Modulation (2-PAM), & Binary Frequency Shift Keying (BFSK)] and M > 2 Modulation Schemes (M-PSK, M-PAM, M-QAM, & M-FSK where M = 4, 8, 16, 32, and 64); Iterative and Non-Iterative Punctured Turbo Channel Decoding} (modeling & simulation);

2b) RATE MATCHING (RM) PUNCTURED TURBO CODED SIGNALING over a Memoryless or Memory Single Channel in complex Digital Communication Systems [M-ary Modulations : M > 2 Modulation Schemes (M-PSK, M-PAM, M-QAM, & M-FSK where M = 4, 8, 16, 32, and 64); Punctured Turbo Codes constructed from Rate = 1/3, 1/5, and 1/7 Parent Turbo Codes for a Puncturing Period = x, where x is dependent on M and may be User-Specified); Iterative and Non-Iterative Rate Matching Punctured Turbo Channel Decoding] (modeling & simulation);

2c) ITERATIVE DECODING (TURBO DECODING) FIXED NUMBER and CROSS-ENTROPY STOPPING RULES (modeling & simulation);

3) PUNCTURED CONVOLUTIONAL CODED SIGNALING over a Memoryless Single Channel in complex Digital Communication Systems (Punctured Convolutional Codes constructed from Rate = 1/2, 1/3, 1/4, 1/5, and 1/6 Parent Codes for Puncturing Period = 2,...,8) (modeling & simulation);

4) RATE MATCHING (RM) CONVOLUTIONAL and PUNCTURED CONVOLUTIONAL CODED (PCC) SIGNALING over a Memoryless Single Channel in complex Digital Communication Systems (modeling & simulation);

4a) SOFT DECISION CONSTELLATION DEMAPPER (in addition to the Hard Decision Constellation Demapper) for RM PCC M-ary Signaling over a Memoryless Single Channel in complex Digital Communication Systems (modeling & simulation using Bit Metrics);

5) NON-SQUARE M-ary QAM, M = 8, 16, 32, and 64 in complex Digital Communication Systems (modeling & simulation);

6) SOFT-DECISION OUTPUTS CHANNEL DECODING [Soft-Output Viterbi Algorithm (SOVA) Two-Stage Decoder & 'Symbol-by-Symbol' Maximum a Posteriori Probability (MAP) Algorithm: Max-Log-MAP, Log-MAP, and MAP Single Stage, Soft-Output Decoder Types that use Log-Domain Metrics] of Convolutional Coded Signaling over a Memoryless Channel systems (modeling & simulation);

7) LOW-DENSITY PARITY-CHECK (LDPC) CODE ITERATIVE MESSAGE-PASSING CHANNEL DECODERS:

Sum-Product Algorithm (Soft Decision) and Bit Flipping Algorithm (Hard Decision);

Sum-Product Algorithm (SPA) Channel Decoder:

SPA Decoder Message Update Schedule Model: Flooding or Layered Schedule;

Flooding SPA Channel Decoder Model, Based on Soft Decision Message-Passing (Bit & Check Messages) Algorithm: Model 1 (Bit Messages then Check Messages Iteration Processing) or Model 2 (Check Messages then Bit Messages Iteration Processing);

Layered SPA Channel Decoder Model, based on Soft Decision Message-Passing (Bit & Check Messages) Algorithm: Model 1 (Layered Bit Node & its Check Nodes Iteration Processing) or Model 2 (Layered Check Node & its Bit Nodes Iteration Processing);

Implementation Type for Flooding or Layered SPA [for Check Message (Check Node to Bit Node Message) Calculation]: Theoretical SPA, Replace SPA Product Term by Sum, Replace SPA Product Term by Min-Sum or Replace SPA Produce Term by Offset Min-Sum;

Flooding or Layered SPA Decoder Channel, Bit/Variable (VAR) Node to Check (CK) Node Message & CK Node to VAR Node Message, and Bit A Posteriori Probabilities (APP) LLRs Quantization can be chosen to be:

i) UnQuantized Channel, Messages, & Bit APP LLRs; or

ii) Quantized (Mid-Tread Based) Channel, Messages, & Bit APP LLRs. ; and

8) BIT ERROR RATE (BER) PLOT GENERATION (ONE to SIX CURVES).

Also, T1's Natural Language (NL) 'is' Input Method for Version 2 has been enhanced so that its Reliability of Input of Digital Communication System Model and Simulation Specifications will be increased.

Intel® PC Computer-Based Application running on Microsoft® Windows® XP, 7, or 10 Operating System (OS).

Note 1: For the Windows® 7 or 10 OS platform that it is crucial that the AdvDCSMT1DCSS (T1) Version (V2) Installer Files' and 'AdvDCSMT1DCSS.exe' file's 'Compatibility Mode' is selected to "Run this program in compatibility mode for: 'Windows XP (Service Pack 2)'" for correct operation on the Buyer (User)'s Windows 7 or 10 PC.

Note 2: T1 may work in the Native Mode on the USER's Windows 7 or 10 PC. T1 Multiple Installations on the same USER's Windows PC should use the same T1 run (execute) mode to ensure that the USER's Simulation Results or other files will always be accessible to the USER.

Consult "System Requirements" in "Further AdvDCSMT1DCSS Product Information" section of this Website for other possible OS.

T1 Professional and its documentation is distributed via Electronic Software DOWNLOADS. Thus, NO Sales Tax.

AdvDCSMT1DCSS End-User License Agreement (EULA) for DownLoad Distribution

NOLTA SIMULATED SYSTEMS SOFTWARE

AdvDCSMT1DCSS END-USER LICENSE AGREEMENT

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(8/19/12)