A computer-implemented method is provided for coding a digital signal quantized on a given number N.sub.d of bits and intended to be processed by a digital computing system, the signal being coded on a predetermined number N.sub.p of bits which is strictly less than N.sub.d, the method including the steps of: receiving a digital signal composed of a plurality of samples, decomposing each sample into a sum of k maximum values which are equal to 2.sup.NP−1 and a residual value, with k being a positive or zero integer, successively transmitting the values obtained after decomposition to an integration unit for carrying out a MAC operation between the sample and a weighting coefficient.

A computer-implemented method for coding a digital signal intended to be processed by a digital computing system includes the steps of: receiving a sample of the digital signal quantized on a number N.sub.d of bits, decomposing the sample into a plurality of binary words of parameterizable bit size N.sub.p, coding the sample through a plurality of pairs of values, each pair comprising one of the binary words and an address corresponding to the position of the binary word in the sample, transmitting the pairs of values to an integration unit in order to carry out a MAC operation between the sample and a weighting coefficient.

A computer-implemented method for coding a digital signal intended to be processed by a digital computing system includes the steps of: receiving a sample of the digital signal quantized on a number N.sub.d of bits, decomposing the sample into a plurality of binary words of parameterizable bit size N.sub.p, coding the sample through a plurality of pairs of values, each pair comprising one of the binary words and an address corresponding to the position of the binary word in the sample, transmitting the pairs of values to an integration unit in order to carry out a MAC operation between the sample and a weighting coefficient.

A method and structure for probabilistic shaping and compensation techniques in coherent optical receivers. According to an example, the present invention provides a method and structure for an implementation of distribution matcher encoders and decoders for probabilistic shaping applications. The techniques involved avoid the traditional implementations based on arithmetic coding, which requires intensive multiplication functions. Furthermore, these probabilistic shaping techniques can be used in combination with LDPC codes through reverse concatenation techniques.

Systems and methods generate code from an executable model. The model may operate on variables having floating point data types. The systems and methods may unpack the sign, exponent, and mantissa components of the floating point variables, and interpret them as boolean, integer, or fixed-point data types. The systems and methods may include operators that operate on the extracted sign, exponent, and mantissa components, and that produce sign, exponent, and mantissa outputs having boolean, integer or fixed-point data types. The systems and methods may pack the sign, exponent, and mantissa components of the output into an integer and reinterpret the integer as a floating point data type. Having replaced the floating point data types with boolean, integer or fixed-point data types, the generated code may be suitable for programmable logic devices and/or microcontrollers that lack Floating Point Units (FPUs).

When the conversion arithmetic of the numerical type of floating-point data and integer data is performed by software, the load of the CPU becomes heavy. A semiconductor device includes a memory, a bus coupled to the memory, a bus master coupled to the bus, and a conversion arithmetic circuit coupled to the bus. The conversion arithmetic circuit includes a floating-point data adder-subtracter, an integer data adder-subtracter, and a shift operator. The semiconductor device converts the floating-point data to the integer data or converts the integer data to the floating-point data, without employing a multiplier and a divider of the floating-point data.

A method and structure for probabilistic shaping and compensation techniques in coherent optical receivers. According to an example, the present invention provides a method and structure for an implementation of distribution matcher encoders and decoders for probabilistic shaping applications. The techniques involved avoid the traditional implementations based on arithmetic coding, which requires intensive multiplication functions. Furthermore, these probabilistic shaping techniques can be used in combination with LDPC codes through reverse concatenation techniques.

Aspects for neural network operations with fixed-point number of short bit length are described herein. The aspects may include a fixed-point number converter configured to convert one or more first floating-point numbers to one or more first fixed-point numbers in accordance with at least one format. Further, the aspects may include a neural network processor configured to process the first fixed-point numbers to generate one or more process results.

Systems, apparatuses, and methods related to host-based bit string conversion are described. A conversion component may be deployed on a host computing system and configured to perform operations on bit strings to selectively convert the bit string between various numeric formats, such as floating-point and/or universal number (e.g., posit) formats. The conversion component may comprise a processing device that may be coupled to one or more memory resources. The memory resource of the conversion component may be configured to receive a bit string having a first format. The processing device of the conversion component coupled to the memory resource may be configured to format or convert the bit string to a second format.

A method and structure for compensation techniques in coherent optical receivers. The present invention provides a coherent optical receiver with an improved 8×8 adaptive MIMO (Multiple Input, Multiple Output) equalizer configured within a digital signal processor (DSP) to compensate the effects of transmitter I/Q skew in subcarrier multiplexing (SCM) schemes. The 8×8 MIMO equalizer can be configured such that each of the 8 outputs is electrically coupled to 3 of 8 inputs, wherein each of the input-output couplings is configured as a filter. The method includes compensating for impairments to the digital conversion of an optical input signal via the 8×8 MIMO equalizer following other signal processing steps, such as chromatic dispersion (CD)/polarization-mode dispersion (PMD) compensation, carrier recovery, timing synchronization, and cycle slip correction.