Log likelihood ratio arithmetic circuit, transmission apparatus, log likelihood ratio arithmetic method, and program

1. A log likelihood ratio arithmetic circuit for calculating a log likelihood ratio from information of a coordinate of a reception signal point to be applied to a communication system using a quadrature amplitude modulation method, the log likelihood ratio arithmetic circuit comprising:

a first circuit that limits a scope within which a value of the log likelihood ratio varies corresponding to a position of the reception signal point to a range between adjacent signal points including a hard-decision threshold of a bit; and

a second circuit that does not vary the value of the log likelihood ratio outside of the range between the adjacent signal points.

2. The log likelihood ratio arithmetic circuit, according to claim 1 , wherein the circuit sets a correspondence relationship between a bit and a symbol such that a bit error rate becomes minimum.

3. The log likelihood ratio arithmetic circuit, according to claim 1 , wherein the circuit sets a correspondence relationship between a bit and a symbol when the modulation method has signal points of an even power of two in a Gray mapping.

4. The log likelihood ratio arithmetic circuit, according to claim 1 , wherein the circuit sets a correspondence relationship between a bit and a symbol when the modulation method has signal points of an odd power of two in a quasi-Gray mapping in which a bit error rate becomes minimum.

5. The log likelihood ratio arithmetic circuit, according to claim 2 , wherein the circuit outputs a soft-decision bit of 1CH included in the information of the coordinate of the reception signal point expressed in 2CH directly or in an inverted state, as a log likelihood ratio of an area where the log likelihood ratio varies.

6. The log likelihood ratio arithmetic circuit, according to claim 2 , wherein the circuit outputs a maximum value or a minimum value of the log likelihood ratio, as a log likelihood ratio of an area where the log likelihood ratio does not vary.

7. The log likelihood ratio arithmetic circuit, according to claim 2 , wherein, when there is an area where it is impossible to perform an area decision based only on information of a hard-decision bit of 1CH included in the information of the coordinates of the reception signal point expressed in 2CH, the circuit outputs a maximum value or a minimum value of the log likelihood ratio in an area where no bit error is caused, and a soft-decision bit of CH having lower likelihood in 2CH in an area where a bit error rate may be caused, under a condition in which the circuit limits the scope within which the value of the log likelihood ratio varies corresponding to the position of the reception signal point to the range between adjacent signal points including the hard-decision threshold of the bit.

8. The log likelihood ratio arithmetic circuit, according to claim 5 , wherein a selection of the log likelihood ratio uses a result of an area decision performed based on information of the hard-decision bit of 1CH included in the information of the coordinate of the reception signal point expressed in 2CH.

9. The log likelihood ratio arithmetic circuit, according to claim 7 , wherein a selection of the log likelihood ratio uses a result of an area decision by referring to a low-order bit of the hard-decision when there is an area where it is impossible to perform area decision based only on the information of the hard-decision bit of 1 CH included in the information of the coordinate of the reception signal point expressed in 2CH.

10. The log likelihood ratio arithmetic circuit, according to claim 5 , wherein the log likelihood ratio is converted from a soft-decision bit into another value.

11. The log likelihood ratio arithmetic circuit, according to claim 1 , wherein a value representing the reception signal point includes any value within a range where the reception signal point exists.

12. The log likelihood ratio arithmetic circuit, according to claim 1 , wherein the circuit calculates the likelihood ratio arithmetic for an entirety of values within a range where the reception signal point exists.

13. The log likelihood ratio arithmetic circuit, according to claim 1 , wherein the circuit performs a log likelihood ratio operation in which a number of symbols is an odd power of two.

14. A transmission apparatus comprising a log likelihood ratio arithmetic circuit for calculating a log likelihood ratio from information of a coordinate of a reception signal point to be applied to a communication system using a quadrature amplitude modulation method,

wherein the log likelihood ratio arithmetic circuit comprises:

a circuit that limits a scope within which a value of the log likelihood ratio varies corresponding to a position of the reception signal point to a range between adjacent signal points including a hard-decision threshold value of a bit; and

a circuit that does not vary the value of the log likelihood ratio outside of the range between the adjacent signal points.

15. A log likelihood ratio arithmetic method for calculating a log likelihood ratio from information of a coordinate of a reception signal point to be applied to a communication system using a quadrature amplitude modulation method,

wherein a scope within which a value of the log likelihood ratio varies corresponding to a position of the reception signal point is limited to a range between adjacent signal points including a hard-decision threshold value of a bit, and

wherein the value of the log likelihood ratio does not vary outside of the range between the adjacent signal points.