Method and apparatus for determining an output sequence from an input sequence

A method for determining an output sequence of output elements from an input sequence of input elements, formed by transmission of a send sequence via a transmission channel, in which inter-symbol interference occurs, the method comprising:

• providing an input sequence of input elements from the transmission channel to a processor;
• combining each input element with a respective correction element, to form a corrected input element, wherein a first part of the inter-symbol interference is configured to be corrected by the correction element and a second part of the inter-symbol interference is configured to not be corrected by the correction element;
• forming a respective output element of the output sequence as a function of the corrected input element;
• forming a respective estimated error as a function of the corrected input element, the respective output element and a scaling;
• characterizing a deviation between the corrected input element and the respective output element scaled with the scaling;
• forming the respective correction element as a function of a coefficient and an output element preceding the respective output element;
• adapting the coefficient as a function of an estimated error allocated to the output element preceding the respective output element;
• determining the scaling such that the scaling differs from a nominal corrected input element, with full correction of all the inter-symbol interference, by a value dependent on the second part of the inter-symbol interference, the scaling adaptively determined as a function of the output element preceding the respective output element and an estimated error allocated to the output element preceding the respective output element;
• and
• providing the output sequence from the processor to another transmission channel.

An apparatus for determining an output sequence of output elements from an input sequence of input elements, formed by transmission of a send sequence via a transmission channel, wherein inter-symbol interference occurs, the apparatus comprising:

• a correction device to combine each input element with a respective correction element to form a corrected input element, wherein a first part of the inter-symbol interference is configured to be corrected by the correction element and a second part of the inter-symbol interferences is configured to not be corrected by the correction element;
• a determining device to determine a respective output element of the output sequence as a function of the corrected input element;
• an estimated error formation device to form an estimated error as a function of the corrected input element, the respective output element and a scaling, the estimated error characterizing a deviation between the corrected input element and the respective output element scaled with the scaling;
• a correction value formation device to form the respective correction value as a function of a coefficient and an output element preceding the respective output element;
• and
• an adaptation device to adapt the coefficient as a function of an estimated error allocated to the output element preceding the respective output element,
• wherein the scaling differs from a nominal corrected input element, with full correction of all the inter-symbol interference, by a value dependent on the second part of the inter-symbol interference.

An apparatus for determining an output sequence of output elements from an input sequence of input elements, formed by transmission of a send sequence via a transmission channel, wherein inter-symbol interference occurs, the apparatus comprising:

• a correction device to combine each input element with a respective correction element to form a corrected input element, wherein a first part of the inter-symbol interference is configured to be corrected by the correction element and a second part of the inter-symbol interferences is configured to not be corrected by the correction element;
• a determining device to determine a respective output element of the output sequence as a function of the corrected input element;
• an estimated error formation device to form an estimated error as a function of the corrected input element, the respective output element and a scaling, the estimated error characterizing a deviation between the corrected input element and the respective output element scaled with the scaling;
• a correction value formation device to form the respective correction value as a function of a coefficient and an output element preceding the respective output element;
• and
• an adaptation device to adapt the coefficient as a function of an estimated error allocated to the output element preceding the respective output element,
• wherein the scaling differs from a nominal corrected input element, with full correction of all the inter-symbol interference, by a value dependent on the second part of the inter-symbol interference, the scaling adaptively determined as a function of the output element preceding the respective output element and an estimated error allocated to the output element preceding the respective output element.

An apparatus for determining an output sequence of output elements from an input sequence of input elements, formed by transmission of a send sequence via a transmission channel, wherein inter-symbol interference occurs, the apparatus comprising:

• means for combining each input element with a respective correction element to form a corrected input element, wherein a first part of the inter-symbol interference is configured to be corrected by the correction element and a second part of the inter-symbol interferences is configured to not be corrected by the correction element;
• means for determining a respective output element of the output sequence as a function of the corrected input element;
• means for forming an estimated error as a function of the corrected input element, the respective output element and a scaling, the estimated error characterizing a deviation between the corrected input element and the respective output element scaled with the scaling;
• means for forming the respective correction value as a function of a coefficient and an output element preceding the respective output element;
• and
• means for adapting the coefficient as a function of an estimated error allocated to the output element preceding the respective output element,
• wherein the scaling differs from a nominal corrected input element, with full correction of all the inter-symbol interference, by a value dependent on the second part of the inter-symbol interference.