Encoding and decoding apparatuses and methods for implementing multi-mode coding are provided. The apparatus includes a transmitter and a receiver connected to a data bus. When data bursts are converted by the transmitter into codewords each including a plurality of symbols and/or a codeword received by the receiver is recovered as data bursts, maximum transition avoidance (MTA) codeword mappings in which no maximum transition (MT) event occurs between the plurality of symbols and minimum DC current (MDC) codeword mappings related to minimum power consumption of the plurality of symbols are used.

Provided is a device and method for encoding and decoding to implement maximum transition avoidance coding with minimum overhead. An exemplary device performs encoding and/or decoding, by using sub-block lookup tables representing correlations between some bit values in a data burst and symbols, a combining lookup table selectively interconnecting the sub-block lookup tables based on remaining bit values of the data burst, and a codeword decoding lookup table designating the sub-block lookup tables corresponding to the symbols of each of received codewords.

In a distribution shaping method, information compression and distribution shaping are executed at the same time. A symbol sequence of a predetermined length is allocated to an input bit sequence of a predetermined length on a one-to-one basis. In the allocation, a bit sequence smaller in entropy is allocated a symbol sequence smaller in average power.

Disclosed herein is a system (10) for transmitting a data stream (12). The system (10) is configured to receive the data stream (12). The data stream (12) carries a plurality of orders that are destined for a market (24) configured for electronic trading. The system (10) is configured to transmit the data stream (12) carrying the plurality of orders. The system (10) is configured to process at least the plurality of orders (12) to determine trading risk information (14) indicative of trading risk. The system (10) is configured to determine if the trading risk indicated by the trading risk information (14) satisfies a trading risk condition (16). The system (10) is configured to cease transmitting the data stream (12) carrying the plurality of orders if the trading risk condition is determined to be satisfied and commenced transmitting another data stream (18) destined for the electronic market. Also disclosed herein is a method for transmitting a data stream (12).

Disclosed herein is a system (10) for transmitting a data stream (12). The system (10) is configured to receive the data stream (12). The data stream (12) carries a plurality of orders that are destined for a market (24) configured for electronic trading. The system (10) is configured to transmit the data stream (12) carrying the plurality of orders. The system (10) is configured to process at least the plurality of orders (12) to determine trading risk information (14) indicative of trading risk. The system (10) is configured to determine if the trading risk indicated by the trading risk information (14) satisfies a trading risk condition (16). The system (10) is configured to cease transmitting the data stream (12) carrying the plurality of orders if the trading risk condition is determined to be satisfied and commenced transmitting another data stream (18) destined for the electronic market. Also disclosed herein is a method for transmitting a data stream (12).

Encoding PAM4 or PAM8 symbols to have a power spectral density (PSD) similar to the PSD of a standard 8b10b Non-Return-to-Zero stream. In one embodiment, a transmitter includes first and second 8b10b encoders that receive first and second streams split from an original byte stream. The first and second 8b10b encoders output first and second 8b10b streams, respectively. The first and second 8b10b streams are fed into a 2-bit combiner that performs a linear combination of the first and second 8b10b streams. And a 4-level Pulse Amplitude Modulation encoder (PAM4 encoder) converts the linear combination of each two bits, received from the combiner, into a PAM4 symbol. Wherein the resulting stream of PAM4 symbols has PSD similar to the PSD of the standard 8b10b non-return-to-zero stream.

Encoding PAM4 or PAM8 symbols to have a power spectral density (PSD) similar to the PSD of a standard 8b10b Non-Return-to-Zero stream. In one embodiment, a transmitter includes first and second 8b10b encoders that receive first and second streams split from an original byte stream. The first and second 8b10b encoders output first and second 8b10b streams, respectively. The first and second 8b10b streams are fed into a 2-bit combiner that performs a linear combination of the first and second 8b10b streams. And a 4-level Pulse Amplitude Modulation encoder (PAM4 encoder) converts the linear combination of each two bits, received from the combiner, into a PAM4 symbol. Wherein the resulting stream of PAM4 symbols has PSD similar to the PSD of the standard 8b10b non-return-to-zero stream.

An information representation method, a multi-value calculation circuit and an electronic system are provided. The information representation method includes: acquiring a switching rate of a signal (S102); and adopting the switching rate of the signal to represent information (S104).

A battery management system comprises a first battery cell controller; a second battery cell controller, the first battery cell controller and the second battery cell controller each monitoring a plurality of battery cells; and a galvanically isolated transmission line providing a point-to-point signal transmission path between the first battery cell controller and the second battery cell controller. At least one of the first battery cell controller or the second battery cell controller includes at least one encoding/decoding circuit for encoding data for transmission as a serial data stream along the signal transmission path in compliance with a multi-level encoding technique, including modulating the serial data stream over at least three discrete signal levels at a predetermined and fixed data pulse frequency, encoding a plurality of data nibbles of the serial data stream into a data packet, the data packet including a plurality of symbols constructed and arranged with at least four consecutive chips per symbol, wherein the at least four consecutive chips per symbol of the data packet includes a DC balanced line code in each of the symbols.

A battery management system comprises a first battery cell controller; a second battery cell controller, the first battery cell controller and the second battery cell controller each monitoring a plurality of battery cells; and a galvanically isolated transmission line providing a point-to-point signal transmission path between the first battery cell controller and the second battery cell controller. At least one of the first battery cell controller or the second battery cell controller includes at least one encoding/decoding circuit for encoding data for transmission as a serial data stream along the signal transmission path in compliance with a multi-level encoding technique, including modulating the serial data stream over at least three discrete signal levels at a predetermined and fixed data pulse frequency, encoding a plurality of data nibbles of the serial data stream into a data packet, the data packet including a plurality of symbols constructed and arranged with at least four consecutive chips per symbol, wherein the at least four consecutive chips per symbol of the data packet includes a DC balanced line code in each of the symbols.