| 摘要 |
An encoding method and encoder of a time-varying LDPC-CC with high error correction performance are provided. In an encoding method of performing low density parity check convolutional coding (LDPC-CC) of a time varying period of q using a parity check polynomial of a coding rate of (n-1)/n (where n is an integer equal to or greater than 2), the time varying period of q is a prime number greater than 3, the method receiving an information sequence as input and encoding the information sequence using equation 1 as a g-th (g=0, 1, ..., q-1) parity check polynomial to satisfy 0: D a#g , 1 , 1 + D a#g , 1 , 2 + D a#g , 1 , 3 �¢ X 1 D + D a#g , 2 , 1 + D a#g , 2 , 2 + D a#g , 2 , 3 �¢ X 2 D + ‹¯ + D a#g , n - 1 , 1 + D a#g , n - 1 , 2 + D a#g , n - 1 , 3 �¢ X n - 1 D + D b#g , 1 + D b#g , 2 + 1 �¢ P D = 0
where, in equation 1:
"%" represents a modulo and each coefficient satisfies the following with respect to k=1, 2, ... , n-1:
a #0,k,1 %q=a #1,k,1 %q=a #2,k,1 %q= a#3,k,1 %q= ... =a #g,k,1 %q= ... =a #q-2,k,1 %q=a #q-1,k,1 %q=v p=k (v p=k : fixed value);
b #0,1 %q= b#1,1 %q=b #2,1 %q=b #3,1 %q= ... =b #g,1 %q= ... =b #q-2,1 %q=b #q-1,1 %q=w (w: fixed value);
a #0,k,2 %q=a #1,k,2 %q=a #2,k,2 %q=a #3,k,2 %q= ... =a #g,k,2 %q= ... =a #q-2,k,2 %q=a #q-1,k,2 %q=y p=k (y p=k : fixed value);
b #0,2 %q=b #1,2 %q=b #2,2 %q=b #3,2 %q= ... =b #g,2 %q= ... =b #q-2,2 %q=b #q-1,2 %q=z (z: fixed value); and
a #0,k,3 %q=a #1,k,3 %q=a #2,k,3 %q=a #3,k,3 %q= ... =a #g,k,3 %q= ... =a #q-2,k,3 %q=a #q-1,k,3 %q=s p=k (s p=k : fixed value);
a #g,k,1 , a #g,k,2 and a #g,k,3 are natural numbers equal to or greater than 1 and a #g,k,1 ‰ a #g,k,2 , a #g,k,1 ‰ a #g,k,3 and a #g,k,2 ‰ a #g,k,3 hold true;
b #g,1 and b #g,2 are natural numbers equal to or greater than 1 and b #g,1 ‰ b #g,2 holds true; and
v p=k and y p=k are natural numbers equal to or greater than 1. |
