Application Of Residue Codes For Error Detection In Mixed Signal Devices

Testing methods based on residue codes are considered as simple, with high probability of detecting errors. Most of the literatures on arithmetic error control codes are mainly focused on applications of secure data transmission and testing digital circuits rather than testing mixed-signal systems. In both cases implementation of residue computing circuit (RCC), also known as the residue generator is an integral part of the hardware design. In this work a low-cost compactor circuit to calculate the residue for on-line testing of analog-to-digital converter has been presented. Aliasing rate and its relationship with the resolution of the ADC have been analyzed. Theory and operation of Linear Feedback Shift Registers have been applied for the implementation of the modulo adder circuit. The compaction circuits were simulated, and the result confirmed the theoretical analysis.

Application Of Residue Codes For Error Detection In Mixed Signal Devices

Testing methods based on residue codes are considered as simple, with high probability of detecting errors. Most of the literatures on arithmetic error control codes are mainly focused on applications of secure data transmission and testing digital circuits rather than testing mixed-signal systems. In both cases implementation of residue computing circuit (RCC), also known as the residue generator is an integral part of the hardware design. In this work a low-cost compactor circuit to calculate the residue for on-line testing of analog-to-digital converter has been presented. Aliasing rate and its relationship with the resolution of the ADC have been analyzed. Theory and operation of Linear Feedback Shift Registers have been applied for the implementation of the modulo adder circuit. The compaction circuits were simulated, and the result confirmed the theoretical analysis.

Skew cyclic codes over 𝔽4R

This paper considers a new alphabet set, which is a ring that we call [Formula: see text], to construct linear error-control codes. Skew cyclic codes over this ring are then investigated in details. We define a nondegenerate inner product and provide a criteria to test for self-orthogonality. Results on the algebraic structures lead us to characterize [Formula: see text]-skew cyclic codes. Interesting connections between the image of such codes under the Gray map to linear cyclic and skew-cyclic codes over [Formula: see text] are shown. These allow us to learn about the relative dimension and distance profile of the resulting codes. Our setup provides a natural connection to DNA codes where additional biomolecular constraints must be incorporated into the design. We present a characterization of [Formula: see text]-skew cyclic codes which are reversible complement.

Jamming Resistance of the Inbound Channel of an Identification System with Broadband Signals and Error Control Codes in the Conditions of Pulse Noise and Intra-System Jamming

Results of an assessment of a noise stability of the request channel of a radar-tracking identification with broadband signals in the conditions of pulse noise and intersystem hindrances are given. Optimum alarm and code designs of orthogonal broadband signals decide on Read-Solomon’s correcting codes for various characteristics of influencing hindrances