Audio encoder, audio decoder, method for encoding and audio information, method for decoding an audio information and computer program using a modification of a number representation of a numeric previous context value

An audio encoder for providing an encoded audio information on the basis of an input audio information, the audio encoder comprising:

• an energy-compacting time-domain-to-frequency-domain converter for providing a frequency-domain audio representation on the basis of a time-domain representation of the input audio information, such that the frequency-domain audio representation comprises a set of spectral values;
• and
• an arithmetic encoder configured to encode a spectral value or a preprocessed version thereof, using a variable length codeword, wherein the arithmetic encoder is configured to map one or more spectral values, or a value of a most significant bitplane of one or more spectral values, onto a code value,
• wherein the encoded audio information comprises a plurality of variable length codewords,
• wherein the arithmetic encoder is configured to select a mapping rule describing a mapping of one or more spectral values, or of a value of a most significant bitplane of one or more spectral values, onto a code value in dependence on a context state described by a numeric current context value;
• and
• wherein the arithmetic encoder is configured to determine the numeric current context value in dependence on a numeric previous context value and in dependence on a plurality of previously-encoded spectral values,
• wherein the arithmetic encoder is configured to modify a number representation of the numeric previous context value, describing a context state for the encoding of one or more previously-encoded spectral values, in dependence on a context subregion value describing a subregion of a context, to acquire a number representation of a numeric current context value describing a context state for the encoding of one or more spectral values to be encoded;
• wherein the arithmetic encoder is configured to check whether a sum of a plurality of context subregion values is smaller than or equal to a predetermined sum threshold value, and to selectively modify the numeric current context value in dependence on a result of the check;
• wherein the audio encoder is implemented using a hardware apparatus, or using a computer, or using a combination of a hardware apparatus and a computer.

A method for providing a decoded audio information on the basis of an encoded audio information, the method comprising:

• providing a plurality of decoded spectral values on the basis of an arithmetically-encoded representation of the spectral values comprised in the encoded audio information;
• and
• providing a time-domain audio representation using the decoded spectral values, in order to acquire the decoded audio information;
• wherein providing the plurality of decoded spectral values comprises selecting a mapping rule describing a mapping of a code value of the arithmetically encoded representation of spectral values onto a symbol code representing one or more of the decoded spectral values, or at least a portion of one or more of the decoded spectral values in dependence on a context state described by a numeric current context value;
• and
• wherein the numeric current context value is determined in dependence on a numeric previous context value and in dependence on a plurality of previously decoded spectral values,
• wherein a number representation of the numeric previous context value, describing a context state for the decoding of one or more previously decoded spectral values, is modified in dependence on a context subregion value describing a subregion of a context, to acquire a number representation of a numeric current context value, describing a context state for the decoding of one or more spectral values to be decoded;
• wherein the method comprises checking whether a sum of a plurality of context subregion values is smaller than or equal to a predetermined sum threshold value, and selectively modifying the numeric current context value in dependence on a result of the check;
• wherein the method is performed using a hardware apparatus, or using a computer, or using a combination of a hardware apparatus and a computer.

A method for providing an encoded audio information on the basis of an input audio information, the method comprising:

• providing a frequency-domain audio representation on the basis of a time-domain representation of the input audio information using an energy-compacting time-domain-to-frequency-domain conversion, such that the frequency-domain audio representation comprises a set of spectral values;
• and
• arithmetically encoding a spectral value, or a preprocessed version thereof, using a variable-length codeword, wherein a spectral value or a value of a most significant bitplane of a spectral value is mapped onto a code value;
• wherein a mapping rule describing a mapping of one or more spectral values, or of a most significant bitplane of one or more spectral values, onto a code value is selected in dependence on a context state described by a numeric current context value;
• and
• wherein the numeric current context value is determined in dependence on a numeric previous context value and in dependence on a plurality of previously-encoded spectral values;
• wherein a number representation of the numeric previous context value, describing a context state for the encoding of one or more previously encoded spectral values, is modified in dependence on a context subregion value describing a subregion of a context, to acquire a number representation of a numeric current context value describing a context state for the encoding of one or more spectral values to be encoded;
• wherein the encoded audio information comprises a plurality of variable-length codewords;
• wherein the method comprises checking whether a sum of a plurality of context subregion values is smaller than or equal to a predetermined sum threshold value, and selectively modifying the numeric current context value in dependence on a result of the check;
• wherein the method is performed using a hardware apparatus, or using a computer, or using a combination of a hardware apparatus and a computer.

An audio decoder for providing a decoded audio information on the basis of an encoded audio information, the audio decoder comprising:

• an arithmetic decoder for providing a plurality of decoded spectral values on the basis of an arithmetically-encoded representation of the spectral values comprised in the encoded audio information;
• and
• a frequency-domain-to-time-domain converter for providing a time-domain audio representation using the decoded spectral values, in order to acquire the decoded audio information;
• wherein the arithmetic decoder is configured to select a mapping rule describing a mapping of a code value of the arithmetically-encoded representation of spectral values onto a symbol code representing one or more of the decoded spectral values or at least a portion of one or more of the decoded spectral values in dependence on a context state described by a numeric current context value;
• and
• wherein the arithmetic decoder is configured to determine the numeric current context value in dependence on a numeric previous context value and in dependence on a plurality of previously-decoded spectral values,
• wherein the arithmetic decoder is configured to modify a number representation of the numeric previous context value, describing a context state for the decoding of one or more previously decoded spectral values, in dependence on a context subregion value describing a subregion of a context, to acquire a number representation of a numeric current context value describing a context state for the decoding of one or more spectral values to be decoded;
• wherein the arithmetic decoder is configured to sum absolute values of a first plurality of previously decoded spectral values in order to acquire a first context subregion value associated with the first plurality of previously decoded spectral values, and to sum absolute values of a second plurality of previously-decoded spectral values in order to acquire a second context subregion value associated with the second plurality of previously decoded spectral values;
• wherein the audio decoder is implemented using a hardware apparatus, or using a computer, or using a combination of a hardware apparatus and a computer.

An audio decoder for providing a decoded audio information on the basis of an encoded audio information, the audio decoder comprising:

• an arithmetic decoder for providing a plurality of decoded spectral values on the basis of an arithmetically-encoded representation of the spectral values comprised in the encoded audio information;
• and
• a frequency-domain-to-time-domain converter for providing a time-domain audio representation using the decoded spectral values, in order to acquire the decoded audio information;
• wherein the arithmetic decoder is configured to select a mapping rule describing a mapping of a code value of the arithmetically-encoded representation of spectral values onto a symbol code representing one or more of the decoded spectral values or at least a portion of one or more of the decoded spectral values in dependence on a context state described by a numeric current context value;
• and
• wherein the arithmetic decoder is configured to determine the numeric current context value in dependence on a numeric previous context value and in dependence on a plurality of previously-decoded spectral values,
• wherein the arithmetic decoder is configured to modify a number representation of the numeric previous context value, describing a context state for the decoding of one or more previously decoded spectral values, in dependence on a context subregion value describing a subregion of a context, to acquire a number representation of a numeric current context value describing a context state for the decoding of one or more spectral values to be decoded;
• wherein the arithmetic decoder is configured to limit the context subregion values, such that the context subregion values are representable using a true subset of information bits of the number representation of the numeric previous context value;
• wherein the audio decoder is implemented using a hardware apparatus, or using a computer, or using a combination of a hardware apparatus and a computer.

An audio decoder for providing a decoded audio information on the basis of an encoded audio information, the audio decoder comprising:

• an arithmetic decoder for providing a plurality of decoded spectral values on the basis of an arithmetically-encoded representation of the spectral values comprised in the encoded audio information;
• and
• a frequency-domain-to-time-domain converter for providing a time-domain audio representation using the decoded spectral values, in order to acquire the decoded audio information;
• wherein the arithmetic decoder is configured to select a mapping rule describing a mapping of a code value of the arithmetically-encoded representation of spectral values onto a symbol code representing one or more of the decoded spectral values or at least a portion of one or more of the decoded spectral values in dependence on a context state described by a numeric current context value;
• and
• wherein the arithmetic decoder is configured to determine the numeric current context value in dependence on a numeric previous context value and in dependence on a plurality of previously-decoded spectral values,
• wherein the arithmetic decoder is configured to modify a number representation of the numeric previous context value, describing a context state for the decoding of one or more previously decoded spectral values, in dependence on a context subregion value describing a subregion of a context, to acquire a number representation of a numeric current context value describing a context state for the decoding of one or more spectral values to be decoded;
• wherein the arithmetic decoder is configured to update the binary number representation c of the numeric previous context value, to derive the numeric current context value c from the numeric previous context value, using the following algorithm:
• c=c>>4;
• if(i<i_max−1)
• c=c+(q[0][i+1]<<12);
• c=(c&0xFFF0);
• if(i>0)
• c=c+(q[1][i−1]);
• wherein c is a variable representing, in a binary representation, the numeric previous context value before the execution of the algorithm and representing, in a binary representation, the numeric current context value after the execution of the algorithm;
• wherein “>>4” designates a “shift-to-the right by 4 bit” operation;
• wherein i is a frequency index of the one or more spectral values to be decoded using the numeric current context value;
• wherein i_max designates a total number of frequency indices;
• wherein q [0][i+1] designates a context subregion value associated with one or more previously decoded spectral values for frequencies higher than frequencies of one or more spectral values to be decoded using the numeric current context value and for a previous temporal portion of the audio content;
• wherein “<<12” designates a “shift-to-the-left by 12 bit” operation;
• wherein “&0xFFF0” designates a Boolean-AND operation with a hexadecimal value of “0xFFF0”;
• and
• wherein q[0][i−1] designates a context subregion value associated with one or more previously-decoded spectral values for frequencies lower than frequencies of one or more spectral values to be decoded using the numeric current context value and for a current temporal portion of the audio content;
• wherein the audio decoder is implemented using a hardware apparatus, or using a computer, or using a combination of a hardware apparatus and a computer.

An audio encoder for providing an encoded audio information on the basis of an input audio information, the audio encoder comprising:

• an energy-compacting time-domain-to-frequency-domain converter for providing a frequency-domain audio representation on the basis of a time-domain representation of the input audio information, such that the frequency-domain audio representation comprises a set of spectral values;
• and
• an arithmetic encoder configured to encode a spectral value or a preprocessed version thereof, using a variable length codeword, wherein the arithmetic encoder is configured to map one or more spectral values, or a value of a most significant bitplane of one or more spectral values, onto a code value,
• wherein the encoded audio information comprises a plurality of variable length codewords,
• wherein the arithmetic encoder is configured to select a mapping rule describing a mapping of one or more spectral values, or of a value of a most significant bitplane of one or more spectral values, onto a code value in dependence on a context state described by a numeric current context value;
• and
• wherein the arithmetic encoder is configured to determine the numeric current context value in dependence on a numeric previous context value and in dependence on a plurality of previously-encoded spectral values,
• wherein the arithmetic encoder is configured to modify a number representation of the numeric previous context value, describing a context state for the encoding of one or more previously-encoded spectral values, in dependence on a context subregion value describing a subregion of a context, to acquire a number representation of a numeric current context value describing a context state for the encoding of one or more spectral values to be encoded;
• wherein the arithmetic encoder is configured to sum absolute values of a first plurality of previously encoded spectral values in order to acquire a first context subregion value associated with the first plurality of previously encoded spectral values, and to sum absolute values of a second plurality of previously-encoded spectral values in order to acquire a second context subregion value associated with the second plurality of previously encoded spectral values;
• wherein the audio encoder is implemented using a hardware apparatus, or using a computer, or using a combination of a hardware apparatus and a computer.

An audio encoder for providing an encoded audio information on the basis of an input audio information, the audio encoder comprising:

• an energy-compacting time-domain-to-frequency-domain converter for providing a frequency-domain audio representation on the basis of a time-domain representation of the input audio information, such that the frequency-domain audio representation comprises a set of spectral values;
• and
• an arithmetic encoder configured to encode a spectral value or a preprocessed version thereof, using a variable length codeword, wherein the arithmetic encoder is configured to map one or more spectral values, or a value of a most significant bitplane of one or more spectral values, onto a code value,
• wherein the encoded audio information comprises a plurality of variable length codewords,
• wherein the arithmetic encoder is configured to select a mapping rule describing a mapping of one or more spectral values, or of a value of a most significant bitplane of one or more spectral values, onto a code value in dependence on a context state described by a numeric current context value;
• and
• wherein the arithmetic encoder is configured to determine the numeric current context value in dependence on a numeric previous context value and in dependence on a plurality of previously-encoded spectral values,
• wherein the arithmetic encoder is configured to modify a number representation of the numeric previous context value, describing a context state for the encoding of one or more previously-encoded spectral values, in dependence on a context subregion value describing a subregion of a context, to acquire a number representation of a numeric current context value describing a context state for the encoding of one or more spectral values to be encoded;
• wherein the arithmetic encoder is configured to limit the context subregion values, such that the context subregion values are representable using a true subset of information bits of the number representation of the numeric previous context value;
• wherein the audio encoder is implemented using a hardware apparatus, or using a computer, or using a combination of a hardware apparatus and a computer.

An audio encoder for providing an encoded audio information on the basis of an input audio information, the audio encoder comprising:

• an energy-compacting time-domain-to-frequency-domain converter for providing a frequency-domain audio representation on the basis of a time-domain representation of the input audio information, such that the frequency-domain audio representation comprises a set of spectral values;
• and
• an arithmetic encoder configured to encode a spectral value or a preprocessed version thereof, using a variable length codeword, wherein the arithmetic encoder is configured to map one or more spectral values, or a value of a most significant bitplane of one or more spectral values, onto a code value,
• wherein the encoded audio information comprises a plurality of variable length codewords,
• wherein the arithmetic encoder is configured to select a mapping rule describing a mapping of one or more spectral values, or of a value of a most significant bitplane of one or more spectral values, onto a code value in dependence on a context state described by a numeric current context value;
• and
• wherein the arithmetic encoder is configured to determine the numeric current context value in dependence on a numeric previous context value and in dependence on a plurality of previously-encoded spectral values,
• wherein the arithmetic encoder is configured to modify a number representation of the numeric previous context value, describing a context state for the encoding of one or more previously-encoded spectral values, in dependence on a context subregion value describing a subregion of a context, to acquire a number representation of a numeric current context value describing a context state for the encoding of one or more spectral values to be encoded;
• wherein the arithmetic encoder is configured to update the binary number representation c of the numeric previous context value, to derive the numeric current context value c from the numeric previous context value, using the following algorithm:
• c=c>>4;
• if(i<i_max−1)
• c=c+(q[0][i+1]<<12);
• c=(c&0xFFF0);
• if(i>0)
• c=c+(q[1][i−1]);
• wherein c is a variable representing, in a binary representation, the numeric previous context value before the execution of the algorithm and representing, in a binary representation, the numeric current context value after the execution of the algorithm;
• wherein “>>4” designates a “shift-to-the right by 4 bit” operation;
• wherein i is a frequency index of the one or more spectral values to be encoded using the numeric current context value;
• wherein i_max designates a total number of frequency indices;
• wherein q [0][i+1] designates a context subregion value associated with one or more previously encoded spectral values for frequencies higher than frequencies of one or more spectral values to be encoded using the numeric current context value and for a previous temporal portion of the audio content;
• wherein “<<12” designates a “shift-to-the-left by 12 bit” operation;
• wherein “&0xFFF0” designates a Boolean-AND operation with a hexadecimal value of “0xFFF0”;
• and
• wherein q[1][i−1] designates a context subregion value associated with one or more previously-encoded spectral values for frequencies lower than frequencies of one or more spectral values to be encoded using the numeric current context value and for a current temporal portion of the audio content;
• wherein the audio encoder is implemented using a hardware apparatus, or using a computer, or using a combination of a hardware apparatus and a computer.

A method for providing a decoded audio information on the basis of an encoded audio information, the method comprising:

• providing a plurality of decoded spectral values on the basis of an arithmetically-encoded representation of the spectral values comprised in the encoded audio information;
• and
• providing a time-domain audio representation using the decoded spectral values, in order to acquire the decoded audio information;
• wherein providing the plurality of decoded spectral values comprises selecting a mapping rule describing a mapping of a code value of the arithmetically encoded representation of spectral values onto a symbol code representing one or more of the decoded spectral values, or at least a portion of one or more of the decoded spectral values in dependence on a context state described by a numeric current context value;
• and
• wherein the numeric current context value is determined in dependence on a numeric previous context value and in dependence on a plurality of previously decoded spectral values,
• wherein a number representation of the numeric previous context value, describing a context state for the decoding of one or more previously decoded spectral values, is modified in dependence on a context subregion value describing a subregion of a context, to acquire a number representation of a numeric current context value, describing a context state for the decoding of one or more spectral values to be decoded;
• wherein the method comprises summing absolute values of a first plurality of previously decoded spectral values in order to acquire a first context subregion value associated with the first plurality of previously decoded spectral values, and summing absolute values of a second plurality of previously-decoded spectral values in order to acquire a second context subregion value associated with the second plurality of previously decoded spectral values;
• wherein the method is performed using a hardware apparatus, or using a computer, or using a combination of a hardware apparatus and a computer.

A method for providing a decoded audio information on the basis of an encoded audio information, the method comprising:

• providing a plurality of decoded spectral values on the basis of an arithmetically-encoded representation of the spectral values comprised in the encoded audio information;
• and
• providing a time-domain audio representation using the decoded spectral values, in order to acquire the decoded audio information;
• wherein providing the plurality of decoded spectral values comprises selecting a mapping rule describing a mapping of a code value of the arithmetically encoded representation of spectral values onto a symbol code representing one or more of the decoded spectral values, or at least a portion of one or more of the decoded spectral values in dependence on a context state described by a numeric current context value;
• and
• wherein the numeric current context value is determined in dependence on a numeric previous context value and in dependence on a plurality of previously decoded spectral values,
• wherein a number representation of the numeric previous context value, describing a context state for the decoding of one or more previously decoded spectral values, is modified in dependence on a context subregion value describing a subregion of a context, to acquire a number representation of a numeric current context value, describing a context state for the decoding of one or more spectral values to be decoded;
• wherein the method comprises limiting the context subregion values, such that the context subregion values are representable using a true subset of information bits of the number representation of the numeric previous context value;
• wherein the method is performed using a hardware apparatus, or using a computer, or using a combination of a hardware apparatus and a computer.

A method for providing a decoded audio information on the basis of an encoded audio information, the method comprising:

• providing a plurality of decoded spectral values on the basis of an arithmetically-encoded representation of the spectral values comprised in the encoded audio information;
• and
• providing a time-domain audio representation using the decoded spectral values, in order to acquire the decoded audio information;
• wherein providing the plurality of decoded spectral values comprises selecting a mapping rule describing a mapping of a code value of the arithmetically encoded representation of spectral values onto a symbol code representing one or more of the decoded spectral values, or at least a portion of one or more of the decoded spectral values in dependence on a context state described by a numeric current context value;
• and
• wherein the numeric current context value is determined in dependence on a numeric previous context value and in dependence on a plurality of previously decoded spectral values,
• wherein a number representation of the numeric previous context value, describing a context state for the decoding of one or more previously decoded spectral values, is modified in dependence on a context subregion value describing a subregion of a context, to acquire a number representation of a numeric current context value, describing a context state for the decoding of one or more spectral values to be decoded;
• wherein the method comprises updating the binary number representation c of the numeric previous context value, to derive the numeric current context value c from the numeric previous context value, using the following algorithm:
• c=c>>4;
• if(i<i_max−1)
• c=c+(q[0][i+1]<<12);
• c=(c&0xFFF0);
• if(i>0)
• c=c+(q[1][i−1]);
• wherein c is a variable representing, in a binary representation, the numeric previous context value before the execution of the algorithm and representing, in a binary representation, the numeric current context value after the execution of the algorithm;
• wherein “>>4” designates a “shift-to-the right by 4 bit” operation;
• wherein i is a frequency index of the one or more spectral values to be decoded using the numeric current context value;
• wherein i_max designates a total number of frequency indices;
• wherein q [0][i+1] designates a context subregion value associated with one or more previously decoded spectral values for frequencies higher than frequencies of one or more spectral values to be decoded using the numeric current context value and for a previous temporal portion of the audio content;
• wherein “<<12” designates a “shift-to-the-left by 12 bit” operation;
• wherein “&0xFFF0” designates a Boolean-AND operation with a hexadecimal value of “0xFFF0”;
• and
• wherein q[1][i−1] designates a context subregion value associated with one or more previously-decoded spectral values for frequencies lower than frequencies of one or more spectral values to be decoded using the numeric current context value and for a current temporal portion of the audio content;
• wherein the method is performed using a hardware apparatus, or using a computer, or using a combination of a hardware apparatus and a computer.

A method for providing an encoded audio information on the basis of an input audio information, the method comprising:

• providing a frequency-domain audio representation on the basis of a time-domain representation of the input audio information using an energy-compacting time-domain-to-frequency-domain conversion, such that the frequency-domain audio representation comprises a set of spectral values;
• and
• arithmetically encoding a spectral value, or a preprocessed version thereof, using a variable-length codeword, wherein a spectral value or a value of a most significant bitplane of a spectral value is mapped onto a code value;
• wherein a mapping rule describing a mapping of one or more spectral values, or of a most significant bitplane of one or more spectral values, onto a code value is selected in dependence on a context state described by a numeric current context value;
• and
• wherein the numeric current context value is determined in dependence on a numeric previous context value and in dependence on a plurality of previously-encoded spectral values;
• wherein a number representation of the numeric previous context value, describing a context state for the encoding of one or more previously encoded spectral values, is modified in dependence on a context subregion value describing a subregion of a context, to acquire a number representation of a numeric current context value describing a context state for the encoding of one or more spectral values to be encoded;
• wherein the encoded audio information comprises a plurality of variable-length codewords;
• wherein the method comprises summing absolute values of a first plurality of previously encoded spectral values in order to acquire a first context subregion value associated with the first plurality of previously encoded spectral values, and to sum absolute values of a second plurality of previously-encoded spectral values in order to acquire a second context subregion value associated with the second plurality of previously encoded spectral values;
• wherein the method is performed using a hardware apparatus, or using a computer, or using a combination of a hardware apparatus and a computer.

A method for providing an encoded audio information on the basis of an input audio information, the method comprising:

• providing a frequency-domain audio representation on the basis of a time-domain representation of the input audio information using an energy-compacting time-domain-to-frequency-domain conversion, such that the frequency-domain audio representation comprises a set of spectral values;
• and
• arithmetically encoding a spectral value, or a preprocessed version thereof, using a variable-length codeword, wherein a spectral value or a value of a most significant bitplane of a spectral value is mapped onto a code value;
• wherein a mapping rule describing a mapping of one or more spectral values, or of a most significant bitplane of one or more spectral values, onto a code value is selected in dependence on a context state described by a numeric current context value;
• and
• wherein the numeric current context value is determined in dependence on a numeric previous context value and in dependence on a plurality of previously-encoded spectral values;
• wherein a number representation of the numeric previous context value, describing a context state for the encoding of one or more previously encoded spectral values, is modified in dependence on a context subregion value describing a subregion of a context, to acquire a number representation of a numeric current context value describing a context state for the encoding of one or more spectral values to be encoded;
• wherein the encoded audio information comprises a plurality of variable-length codewords;
• wherein the method comprises limiting the context subregion values, such that the context subregion values are representable using a true subset of information bits of the number representation of the numeric previous context value;
• wherein the method is performed using a hardware apparatus, or using a computer, or using a combination of a hardware apparatus and a computer.

A method for providing an encoded audio information on the basis of an input audio information, the method comprising:

• providing a frequency-domain audio representation on the basis of a time-domain representation of the input audio information using an energy-compacting time-domain-to-frequency-domain conversion, such that the frequency-domain audio representation comprises a set of spectral values;
• and
• arithmetically encoding a spectral value, or a preprocessed version thereof, using a variable-length codeword, wherein a spectral value or a value of a most significant bitplane of a spectral value is mapped onto a code value;
• wherein a mapping rule describing a mapping of one or more spectral values, or of a most significant bitplane of one or more spectral values, onto a code value is selected in dependence on a context state described by a numeric current context value;
• and
• wherein the numeric current context value is determined in dependence on a numeric previous context value and in dependence on a plurality of previously-encoded spectral values;
• wherein a number representation of the numeric previous context value, describing a context state for the encoding of one or more previously encoded spectral values, is modified in dependence on a context subregion value describing a subregion of a context, to acquire a number representation of a numeric current context value describing a context state for the encoding of one or more spectral values to be encoded;
• wherein the encoded audio information comprises a plurality of variable-length codewords;
• wherein the method comprises updating the binary number representation c of the numeric previous context value, to derive the numeric current context value c from the numeric previous context value, using the following algorithm:
• c=c>>4;
• if(i<i_max−1)
• c=c+(q[0][i+1]<<12);
• c=(c&0xFFF0);
• if(i>0)
• c=c+(q[1][i−1]);
• wherein c is a variable representing, in a binary representation, the numeric previous context value before the execution of the algorithm and representing, in a binary representation, the numeric current context value after the execution of the algorithm;
• wherein “>>4” designates a “shift-to-the right by 4 bit” operation;
• wherein i is a frequency index of the one or more spectral values to be encoded using the numeric current context value;
• wherein i_max designates a total number of frequency indices;
• wherein q [0][i+1] designates a context subregion value associated with one or more previously encoded spectral values for frequencies higher than frequencies of one or more spectral values to be encoded using the numeric current context value and for a previous temporal portion of the audio content;
• wherein “<<12” designates a “shift-to-the-left by 12 bit” operation;
• wherein “&0xFFF0” designates a Boolean-AND operation with a hexadecimal value of “0xFFF0”;
• and
• wherein q[1][i−1] designates a context subregion value associated with one or more previously-encoded spectral values for frequencies lower than frequencies of one or more spectral values to be encoded using the numeric current context value and for a current temporal portion of the audio content;
• wherein the method is performed using a hardware apparatus, or using a computer, or using a combination of a hardware apparatus and a computer.