Modelling and Test Generation for Crosstalk Faults in DSM Chips

In the era of deep submicron technology (DSM), many System-on-Chip (SoC) applications require the components to be operating at high clock speeds. With the shrinking feature size and ever increasing clock frequencies, the DSM technology has led to a well-known problem of Signal Integrity (SI) more especially in the connecting layout design. The increasing aspect ratios of metal wires and also the ratio of coupling capacitance over substrate capacitance result in electrical coupling of interconnects which leads to crosstalk problems. In this thesis, first the work carried out to model the crosstalk behaviour between aggressor and victim by considering the distributed RLGC parameters of interconnect and the coupling capacitance and mutual conductance between the two nets is presented. The proposed model also considers the RC linear models of the CMOS drivers and receivers. The behaviour of crosstalk in case of under etching problem has been studied and modelled by distributing and approximating the defect behaviour throughout the nets. Next, the proposed model has also been extended to model the behaviour of crosstalk in case of one victim is influenced by several aggressors by considering all aggressors have similar effect (worst-case) on victim. In all the above cases simulation experiments were also carried out and compared with well-known circuit simulation tool PSPICE. It has been proved that the generated crosstalk model is faster and the results generated are within 10% of error margin compared to latter simulation tool. Because of the accuracy and speed of the proposed model, the model is very useful for both SoC designers and test engineers to analyse the crosstalk behaviour. Each manufactured device needs to be tested thoroughly to ensure the functionality before its delivery. The test pattern generation for crosstalk faults is also necessary to test the corresponding crosstalk faults. In this thesis, the well-known PODEM algorithm for stuck-at faults is extended to generate the test patterns for crosstalk faults between single aggressor and single victim. To apply modified PODEM for crosstalk faults, the transition behaviour has been divided into two logic parts as before transition and after transition. After finding individually required test patterns for before transition and after transition, the generated logic vectors are appended to create transition test patterns for crosstalk faults. The developed algorithm is also applied for a few ISCAS 85 benchmark circuits and the fault coverage is found excellent in most circuits. With the incorporation of proposed algorithm into the ATPG tools, the efficiency of testing will be improved by generating the test patterns for crosstalk faults besides for the conventional stuck-at faults. In generating test patterns for crosstalk faults on single victim due to multiple aggressors, the modified PODEM algorithm is found to be more time consuming. The search capability of Genetic Algorithms in finding the required combination of several input factors for any optimized problem fascinated to apply GA for generating test patterns as generating the test pattern is also similar to finding the required vector out of several input transitions. Initially the GA is applied for generating test patterns for stuck-at faults and compared the results with PODEM algorithm. As the fault coverage is almost similar to the deterministic algorithm PODEM, the GA developed for stuck-at faults is extended to find test patterns for crosstalk faults between single aggressor and single victim. The elitist GA is also applied for a few ISCAS 85 benchmark circuits. Later the algorithm is extended to generate test patterns for worst-case crosstalk faults. It has been proved that elitist GA developed in this thesis is also very useful in generating test patterns for crosstalk faults especially for multiple aggressor and single victim crosstalk faults

False-Noise Analysis using Logic Implications

Cross-coupled noise analysis has become a critical concern in today’s VLSI designs. Typically, noise analysis makes an assumption that all aggressing nets can simultaneously switch in the same direction. This creates a worst-case noise pulse on the victim net that often leads to false noise violations. In this paper, we present a new approach that uses logic implications to identify the maximum set of aggressor nets that can inject noise simultaneously under the logic constraints of the circuit. We propose an approach to efficiently generate logic implications from a transistor-level description and propagate them in the circuit using ROBDD representations and a newly proposed laterial propagation method. We then show that the problem of finding the worst case logically feasible noise can be represented as a maximum weighted independent set problem and show how to efficiently solve it. Initially, we restrict our discussion to zero-delay implications, which are valid for glitch-free circuits and then extend our approach to timed implications. The proposed approaches were implemented in an industrial noise analysis tool and results are shown for a number of industrial test cases. We demonstrate that a significant reduction in the number of noise failures can be obtained from considering the logic implications as proposed in this paper, underscoring the need for false-noise analysis.