Multi-pair transceiver decoder system with low computation slicer
First Claim
1. A symbol decoder included in a receiver configured to receive information encoded in accordance with a multi-level symbolic scheme and over a multi-dimensional transmission channel, the symbol decoder comprising:
- an input that is operative to receive an input signal over the multi-dimensional transmission channel;
a first slicer that is operative to process the input signal with respect to a first one of two disjoint one-dimensional symbol-subsets;
a second slicer that is operative to process the input signal with respect to a second one of the two disjoint one-dimensional symbol-subsets; and
wherein the first slicer outputs a first decision term and a first error term with respect to the first one of the two disjoint one-dimensional symbol-subsets, and the second slicer outputs a second decision term and a second error term with respect to the second one of the two disjoint one-dimensional symbol-subsets.
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Abstract
A method and a system for decoding information signals encoded by a multi-state encoding architecture and transmitted over a multi-dimensional transmission channel by computing a distance of a received word from a codeword. One-dimensional (1D) input signals are detected in a symbol decoder, implemented using look-up tables, to produce a pair of 1D errors, with each representing a distance metric between the input signal and a symbol in one of two disjoint symbol-subsets. The symbol decoder is implemented as a pair of slicers, each detecting an input signal with respect to one of two disjoint symbol-subsets. A third slicer detects the input with respect to the union of the two disjoint symbol-subsets. Decisions from the first, second and third slicers are processed to define 1D square error terms expressed in Hamming metrics. Reduced bit count error terms allow follow-on error processing to be performed with a minimum of computational complexity. The 1D errors are combined to produce a set of multi-dimensional error terms. Each of the multi-dimensional error terms corresponds to a distance between a received word and a nearest codeword.
19 Citations
16 Claims
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1. A symbol decoder included in a receiver configured to receive information encoded in accordance with a multi-level symbolic scheme and over a multi-dimensional transmission channel, the symbol decoder comprising:
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an input that is operative to receive an input signal over the multi-dimensional transmission channel;
a first slicer that is operative to process the input signal with respect to a first one of two disjoint one-dimensional symbol-subsets;
a second slicer that is operative to process the input signal with respect to a second one of the two disjoint one-dimensional symbol-subsets; and
wherein the first slicer outputs a first decision term and a first error term with respect to the first one of the two disjoint one-dimensional symbol-subsets, and the second slicer outputs a second decision term and a second error term with respect to the second one of the two disjoint one-dimensional symbol-subsets. - View Dependent Claims (2, 3, 4, 5, 6)
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7. A method for symbol decoding in a receiver configured to receive information encoded in accordance with a multi-level symbolic scheme and over a multi-dimensional transmission channel, the method comprising:
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receiving an input signal;
processing the input signal with respect to a first one of two disjoint one-dimensional symbol-subsets in a first slicer to output a first decision term and a first error term with respect to the first one of the two disjoint one-dimensional symbol-subsets; and
processing the input signal with respect to a second one of the two disjoint one-dimensional symbol-subsets in a second slicer to output a second decision term and a second error term with respect to the second one of the two disjoint one-dimensional symbol-subsets. - View Dependent Claims (8, 9, 10, 11, 12, 13, 14, 15, 16)
producing from the first slicer a first decision with respect to the first one of the two disjoint one-dimensional symbol-subsets;
producing from the second slicer a second decision with respect to the second one of the two disjoint one-dimensional symbol-subsets; and
producing a third decision from a third slicer with respect to the union set of the two disjoint symbol-subsets.
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9. The method according to claim 8, further comprising:
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combining the first decision with the third decision in a first combination block so as to define a first error term; and
combining the second decision with the third decision in a second combination block so as to define a second error term.
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10. The method according to claim 9, further comprising:
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operating on the first error term so as to define a square error representation thereof in a first square error block; and
operating on the second error term so as to define a square error representation thereof in a second square error block.
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11. The method according to claim 10, wherein each of the first and second combination blocks is implemented using a look-up table, the combination operation and error term definition being performed by consulting an appropriate entry in the look-up table.
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12. The method according to claim 10, wherein each of the first and second square error blocks is implemented using a look-up table, the square error definition being performed by consulting an appropriate entry in the look-up table.
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13. The method according to claim 11, wherein the look-up table is implemented in a read-only memory storage device.
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14. The method according to claim 11, wherein the look-up table is implemented as a random logic integrated circuit.
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15. The method according to claim 11, wherein the look-up table is implemented as a programmable-logic-array integrated circuit.
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16. The method according to claim 10, wherein each of the first and second error terms is expressed as a digital representation having one bit.
Specification