Table 2 List of works related to non-volatile memory reduction for LDPC codes
From: Non-volatile memory reduction based on 1-D memory space mapping of a specific set of QC-LDPC codes
Work | Memory requirement | Reduction factor with reference to M × k × Z | Application examples | ||||
|---|---|---|---|---|---|---|---|
| Â | Â | Â | Â | Code length | Code rate | Memory requirement | Reduction Factor |
LDPC for CMMB (all elements) [5] | M × k × Z | 1 | 9216 | 1/2 | 4608 × 6 × 14 = 387072 bits | 1 | |
|  |  |  |  | 9216 | 3/4 | 2304 × 12 × 14 = 387072 bits | 1 |
LDPC for CMMB with AGU [5] | H' | I | (Z × N p + 2 k × R p )/(M × k × Z) | 9216 | 1/2 | 1512 + 216 = 1728 bits | 4.46 × 10-3 |
|  | Z × N p | 2 k × R p |  | 9216 | 3/4 | 1512 + 216 = 1728 bits | 4.46 × 10-3 |
Regular HC-LDPC [17] | (N e /N p ) × log2N e | [log2(M × k)/Z] × (1/N p ) | 4128 | 1/2 | (2064 × 6/18) × 14 = 9632 bits | 5.98 × 10-2 | |
TS-LDPC [18] | (j-1) × (k-1) × z | [(j- 1) × (k-1)/(M × k)] × (z/Z) | 6084 | 3/4 | 3 × 15 × 9 = 405 bits | 1.7 × 10-3 | |
LDPC for WLAN [2] | N.A. | N.A. | 1944 | 1/2 | 24 × 12 × 7 = 2151 bits | 2.78 × 10-2 | |
LDPC for WIMAX [2] |  |  |  | 2304 | 1/2 | 24 × 12 × 7 = 2151 bits | 2.34 × 10-2 |
Proposed 1-D MWC-OCS LDPC | (j + k-1) × z | [(j + k-1)/(M × k)] × (z/Z) | 9186 (p = 1531) | 1/2 | (6 + 3-1) × 11 = 88 bits | 2.3 × 10-4 | |
|  |  |  |  | 9228 (p = 769) | 3/4 | (12 + 3 - 1) × 10 = 140 bits | 3.6 × 10-4 |
| Â | Â | Â | Â | Similar codes for CMMB | |||
|  |  |  |  | 1992 (p = 83) | 1/2 | (24 + 12) × 7 = 252 bits | 9.6 × 10-4 |
|  |  |  |  | 2328 (p = 97) | 1/2 | (24 + 12) × 7 = 252 bits | 7.5 × 10-4 |
| Â | Â | Â | Â | Similar codes for WLAN/WIMAX | |||