Turbo decoding apparatus

A turbo decoding apparatus, comprising:

• a backward-probability calculation unit that executes backward-probability calculation from time N (N is a natural number) to time 0 with respect to coded data having an information length N which is encoded with turbo-encoding;
• a storage unit to store a fraction of backward-probability calculation contiguous results, the fraction being made of every n'th (n is a natural number) result from the backward-probability calculation contiguous results;
• a forward-probability calculation unit that executes forward-probability calculation from time 0 to time N with respect to the coded data;
• and
• a decoded result calculation unit that calculates a decoded result of the coded data through joint-probability calculation using forward-probability calculation results by the forward-probability calculation unit and the backward-probability calculation results stored in the storage unit and backward-probability calculation results obtained through recalculation by the backward-probability calculation unit, wherein:
• the joint-probability calculation is executed in parallel with the forward-probability calculation;
• the decoded result calculation unit calculates, if a backward-probability calculation result at time i (i is a natural number) being one of the times 0 to N corresponding to a forward-probability calculation result at the time i calculated by the forward-probability calculation unit is stored in the storage unit, a joint-probability at the time i by using the backward-probability calculation result at the time i stored in the storage unit and the forward-probability calculation result at the time i;
• the backward-probability calculation unit recalculates, if the backward-probability calculation result at the time i is not stored in the storage unit, the backward-probability at the time i based on a shift-probability calculation result at time (i+1) for calculating a forward-probability at the time (i+1) and a backward-probability calculation result at the time (i+1) stored in the storage unit;
• and
• the decoded result calculation unit calculates the joint-probability at the time i by using the recalculated backward-probability calculation result at the time i and the forward-probability calculation result at the time i.

A turbo decoding apparatus, comprising:

• a backward-probability calculation unit that executes backward-probability calculation per time with respect to coded data having a information length N (N is a natural number) which is encoded with turbo-encoding;
• a storage unit to store backward-probability calculation results by the backward-probability calculation unit;
• a forward-probability calculation unit that executes forward-probability calculation per time with respect to the coded data;
• and
• a decoded result calculation unit that calculates a decoded result of the coded data through joint-probability calculation using backward-probability calculation results and forward-probability calculation results, wherein:
• the backward-probability calculation unit executes the backward-probability calculation of the coded data from time N toward time 0 and stores backward-probability calculation results extracted from the backward-probability calculation results at the times N through 1 at intervals of n-time (n is a natural number) in the storage unit;
• the forward-probability calculation unit executes the forward-probability calculation of the coded data from the time 1 toward the time N;
• and
• the decoded result calculation unit calculates, upon calculating a joint-probability at time i (i is a natural number) being one of times 0 to N based on a forward-probability calculation result at the time i and a backward-probability calculation result at the time i, if the backward-probability calculation result at the time is not stored in the storage unit, the joint-probability of the time i by using the backward-probability calculation result of the time i and the forward-probability calculation result at the time i, otherwise, calculates the joint-probability of the time i by using the backward-probability calculation result at the time i that is recalculated by the backward-probability calculation unit and the forward-probability calculation result at the time i, and outputs a decoded result of the coded data through the joint-probability calculation.

A turbo decoding apparatus for decoding coded data having an information length N-bit (N is a natural number) which is encoded with turbo-encoding, dividing the coded data into a plurality of sections each having a predetermined length L-bit (L is a natural number), performing a decoding process for every section, and comprising:

• a backward-probability calculation unit that executes a backward-probability calculation with respect to the coded data;
• a storage unit to store backward-probability calculation results;
• a forward-probability calculation unit that executes forward-probability calculation with respect to the coded data;
• and
• a decoded result calculation unit that calculates a decoded result of the coded data through joint-probability calculation based on backward-probability calculation results and forward-probability calculation results, wherein:
• the backward-probability calculation unit executes the backward-probability calculation of the coded data from an N-th bit toward a first bit of the coded data, stores discrete backward-probability calculation results with respect to each section from the N-th bit to an (L+1)th bit in the storage unit, for every predetermined length L, and stores backward-probability calculation results extracted from continuous backward-probability calculation results of the first bit through an L-th bit at intervals of n-bit (n is a natural number) in the storage unit;
• the forward-probability calculation unit executes the forward-probability calculation of the first bit through the L-th bit;
• upon calculating a joint-probability of an i-th (i is a natural number) bit, which exist in a section from the first bit to the L-th bit, if a backward-probability calculation result of the i-th bit is stored in the storage unit, the decoded result calculation unit calculates the joint-probability of the i-th bit by using the backward-probability calculation result of the i-th bit stored and a forward-probability calculation result of the i-th bit calculated by the forward-probability calculation unit, otherwise, the decode result calculation unit calculates the joint-probability of the i-th bit by using the backward-probability calculation result of the i-th bit that is recalculated by the backward-probability calculation unit and the forward-probability calculation result of the i-th bit, and the decode result calculation unit outputs decoded results in the section from the first bit to the L-th bit;
• the backward-probability calculation unit executes the backward-probability calculation with respect to a section from an (L+1)th bit to a 2L-th bit by using the discrete backward-probability calculation results stored in the storage unit, and stores a fraction of backward-probability calculation results, the fraction being made of every n'th result from the backward-probability calculation results of the backward-probability calculation with respect to the section from the (L+1)th bit to the 2L-th bit, in the storage unit;
• the forward-probability calculation unit executes the forward-probability calculation with respect to the section from the (L+1)th bit to the 2L-th bit;
• and
• upon calculating a joint-probability of an i-th bit, which exist in the section from the (L+1)th bit to the 2L-th bit, if a backward-probability calculation result of the i-th bit is stored in the storage unit, the decoded result calculation unit calculates the joint-probability of the i-th bit by using the backward-probability calculation result of the i-th bit stored and a forward-probability calculation result of the i-th bit calculated by the forward-probability calculation unit, otherwise, the decode result calculation unit calculates the joint-probability of the i-th bit by using the backward-probability calculation result of the i-th bit that is recalculated by the backward-probability calculation unit and the forward-probability calculation result of the i-th bit, and the decode result calculation unit outputs decoded results in the section from the (L+1)th bit to the 2L-th bit.

A turbo decoding apparatus for decoding corded data of N-bit (N is a natural number) which is encoded with turbo-encoding, segmenting the coded data into a plurality of sections each having a predetermined length L (L is a natural number), performing a decoding process for every section, and comprising:

• a first backward-probability calculation unit and a second backward-probability calculation unit each executing backward-probability calculation with respect to the coded data;
• a storage unit to store backward-probability calculation results;
• a forward-probability calculation unit executing forward-probability calculation with respect to the coded data;
• and
• a decoded result calculation unit that calculates a decoded result of the coded data through joint-probability calculation using backward-probability calculation results and forward-probability calculation results, wherein:
• the first backward-probability calculation unit executes the backward-probability calculation from a 2L-th bit toward a first bit of the coded data, and stores a fraction of backward-probability calculation results, the fraction being made of every n'th result from the results of the backward-probability calculation from a L-th bit to the first bit, in the storage unit;
• the forward-probability calculation unit executes the forward-probability calculation from the first bit to the L-th bit;
• upon calculating a joint-probability of an i-th bit (i is a natural number), which exists in a section from the first bit to the L-th bit, based on a forward-probability calculation result of the i-th bit and a backward-probability calculation result of the i-th bit, if the backward-probability calculation result of the i-th bit is stored in the storage unit, the decoded result calculation unit calculates the joint-probability of the i-th bit by using the backward-probability calculation result of the i-th bit and the forward-probability calculation result of the i-th bit, otherwise, the joint-probability calculation unit calculates the joint-probability of the i-th bit by using the backward-probability calculation result of the i-th bit that is recalculated by the first backward-probability calculation unit and the forward-probability calculation result of the i-th bit, to calculate a decoded result with respect to the section from the first bit to the L-th bit;
• the second backward-probability calculation unit starts the backward-probability calculation from a 3L-th bit toward an (L+1)th bit of the coded data during the backward-probability calculation from the 2L-th bit to the first bit by the first backward-probability calculation unit, and stores backward-probability calculation results that backward-probability calculation results from the 2L-th bit to the (L+1)th bit are thinned out in the storage unit;
• the forward-probability calculation unit executes the forward-probability calculation from the (L+1)th bit to the 2L-th bit;
• and upon calculating a joint-probability of an i-th bit, which exists in a section from the (L+1)th bit to the 2L-th bit, based on a forward-probability calculation result of the i-th bit and a backward-probability calculation result of the i-th bit, if the backward-probability calculation result of the i-th bit is stored in the storage unit, the decoded result calculation unit calculates the joint-probability of the i-th bit by using the backward-probability calculation result of the i-th bit and the forward-probability calculation result of the i-th bit, otherwise, the joint-probability calculation unit calculates the joint-probability of the i-th bit by using the backward-probability calculation result of the i-th bit that is recalculated by the second backward-probability calculation unit and the forward-probability calculation result of the i-th bit, to calculate a decoded result with respect to the section from the (L+1)th bit to the 2L-th bit.

A turbo decoding apparatus for decoding turbo-encoded data through repetition of element decoding, comprising:

• M-number (M is a natural number) of element decoders each performing element decoding to one of M-pieces of divided data obtained by dividing turbo-encoded data having an information length N-bit (N is a natural number) by M;
• and
• an interleaver/deinterleaver for alternately interleaving and deinterleaving M-pieces of results of element-decoding collectively, wherein each of the M-number of element decoders includes:
• a backward-probability calculation unit that executes backward-probability calculation with respect to one of the M-pieces of divided data;
• a storage unit to store backward-probability calculation results extracted from N/M-pieces of backward-probability calculation results with respect to the one of the M-pieces of divided data at intervals of n-piece (n is a natural number);
• a forward-probability calculation unit that executes a forward-probability calculation with respect to the one of the M-pieces of divided data;
• and
• a decoded result calculation unit that outputs element-decoded results of the M-pieces of divided data through joint-probability calculation by using N/M-pieces of forward-probability calculation results with respect to the one of the M-pieces of divided data and N/M-pieces of backward-probability calculation results obtained by reading from the storage unit or obtained through recalculation by the backward-probability calculation unit.

A turbo decoding apparatus for decoding turbo-encoded data through repetition of element decoding, comprising:

• M-number (M is a natural number) of element decoders each performing element decoding to one of M-pieces of divided data obtained by dividing turbo-encoded data having an information length N-bit (N is a natural number) by M;
• and
• an interleaver/deinterleaver for alternately interleaving and deinterleaving M-pieces of results of element-decoding collectively, wherein each of the M-number of element decoders includes:
• a backward-probability calculation unit that executes backward-probability calculation with respect to one of the M-pieces of divided data;
• a storage unit to divide one of the M-pieces of divided data into X-pieces (X is a natural number) of sections by a predetermined length L (L is a natural number), to store backward-probability calculation results in each of X-th through second sections within the X-pieces of sections for every predetermined length L discretely with intervals of the predetermined length L, and to store backward-probability calculation results extracted from L-pieces of backward-probability calculation results with respect to a first section within the X-pieces of sections at intervals of n-piece (n is a natural number);
• a forward-probability calculation unit that executes forward-probability calculation with respect to one of the M-pieces divided data;
• and
• a decoded result calculation unit that calculates, with respect to the respective sections of the M-pieces of divided data, element-decoded results in the respective sections through joint-probability calculation by using L-pieces of forward-probability calculation results and L-pieces of backward-probability calculation results corresponding thereto, wherein:
• the decoded result calculation unit outputs the element-decoded result with respect to the first section through the joint-probability calculation by using L-pieces of forward-probability calculation results in the first section calculated by the forward-probability calculation unit and L-pieces of backward-probability calculation results in the first section obtained by reading from the storage unit or obtained through recalculation by the backward-probability calculation unit;
• the backward-probability calculation unit executes the backward-probability calculation with respect to a next section by using the backward-probability calculation results regarding the next section stored in the storage unit, calculates L-pieces of backward-probability calculation results regarding the next section, and stores backward-probability calculation results extracted from the L-pieces of backward-probability calculation results regarding the next section at intervals of n-piece in the storage unit;
• the forward-probability calculation unit executes forward-probability calculation with respect to the next section to obtain L-pieces of forward-probability calculation results regarding the next section;
• and
• the decoded result calculation unit outputs the element-decoded result with respect to the next section through joint-probability calculation by using the L-pieces of forward-probability calculation results regarding the next section and L-pieces of backward-probability calculation results regarding the next section obtained by reading from the storage unit or obtained through recalculation by the backward-probability calculation unit.

A turbo decoding apparatus for decoding turbo-encoded data through repetition of element decoding, comprising:

• M-number (M is a natural number) of element decoders each performing element decoding to one of M-pieces of divided data obtained by dividing turbo-encoded data having an information length N-bit (N is a natural number) by M;
• and
• an interleaver/deinterleaver for alternately interleaving and deinterleaving M-pieces of results of element-decoding collectively, wherein each of the M-number of element decoders includes:
• a backward-probability calculation unit that executes backward-probability calculation with respect to one of the M-pieces of divided data;
• a storage unit to store backward-probability calculation results regarding one of the M-pieces of divided data;
• a forward-probability calculation unit that executes forward-probability calculation with respect to one of the M-pieces of divided data;
• and
• a decoded result calculation unit that calculates the element-decoded results through calculation of a joint-probability using an forward-probability calculation result and the backward-probability calculation results, wherein:
• the backward-probability calculation unit divides one of the M-pieces of divided data into a plurality of sections for every predetermined length L (L is a natural number), executes backward-probability calculation regarding a 2L-th bit through a first bit, and stores backward-probability calculation results extracted from backward-probability calculation results of the 2L-th bit through the first bit at intervals of n-piece (n is a natural number), in the storage unit;
• the forward-probability calculation unit executes forward-probability calculation regarding the first bit through a L-th bit of the one of the M-pieces of divided data;
• the decoded result calculation unit executes joint-probability calculation by using forward-probability calculation results regarding the first bit through the L-th bit and backward-probability calculation results regarding the first bit through the L-th bit obtained by reading from the storage unit or obtained through recalculation by the backward-probability calculation unit, and outputs element-decoded results regarding a section from the first bit to the L-th bit;
• the backward-probability calculation unit executes backward-probability calculation from a 3L-th bit to a (L+1)th bit of the one of the M-pieces of divided data during backward-probability calculation from a 2L-th bit to the first bit, and stores backward-probability calculation results extracted from backward-probability calculation results from the 2L-th bit to the (L+1)th bit at intervals of n-piece, in the storage unit;
• the forward-probability calculation unit executes forward-probability calculation from the (L+1)th bit to the 2L-th bit;
• and
• the decoded result calculation unit executes joint-probability calculation by using forward-probability calculation results from the (L+1)th bit to the 2L-th bit and backward-probability calculation results from the (L+1)th bit to the 2L-th bit obtained by reading from the storage unit or obtained through recalculation by the backward-probability calculation unit, and outputs the element-decoded results regarding a section from the (L+1)th bit to the 2L-th bit.