Transition Faults and Transition Path Delay Faults: Test Generation, Path Selection, and Built-In Generation of Functional Broadside Tests

As the clock frequency and complexity of digital integrated circuits increase rapidly, delay testing is indispensable to guarantee the correct timing behavior of the circuits. In this dissertation, we describe methods developed for three aspects of delay testing in scan-based circuits: test generation, path selection and built-in test generation. We first describe a deterministic broadside test generation procedure for a path delay fault model named the transition path delay fault model, which captures both large and small delay defects. Under this fault model, a path delay fault is detected only if all the individual transition faults along the path are detected by the same test. To reduce the complexity of test generation, sub-procedures with low complexity are applied before a complete branch-and-bound procedure. Next, we describe a method based on static timing analysis to select critical paths for test generation. Logic conditions that are necessary for detecting a path delay fault are considered to refine the accuracy of static timing analysis, using input necessary assignments. Input necessary assignments are input values that must be assigned to detect a fault. The method calculates more accurate path delays, selects paths that are critical during test application, and identifies undetectable path delay faults. These two methods are applicable to off-line test generation. For large circuits with high complexity and frequency, built-in test generation is a cost-effective method for delay testing. For a circuit that is embedded in a larger design, we developed a method for built-in generation of functional broadside tests to avoid excessive power dissipation during test application and the overtesting of delay faults, taking the functional constraints on the primary input sequences of the circuit into consideration. Functional broadside tests are scan-based two-pattern tests for delay faults that create functional operation conditions during test application. To avoid the potential fault coverage loss due to the exclusive use of functional broadside tests, we also developed an optional DFT method based on state holding to improve fault coverage. High delay fault coverage can be achieved by the developed method for benchmark circuits using simple hardware

Test Pattern Generation Using LFSR with Reseeding Scheme for BIST Designs

ABSTRACT: In this paper we present LFSR reseeding scheme for BIST. A time -to -market efficient algorithm is introduced for selecting reseeding points in the test sequence. This algorithm targets complete fault coverage and minimization of the test length. Functional broadside tests that avoid over testing by ensuring that a circuit traverses only reachable states during the functional clock cycles of a tes

Improving timing verification and delay testing methodologies for IC designs

textThe task of ensuring the correct temporal behavior of IC designs, both before and after fabrication, is extremely important. It is becoming even more imperative as the demand for performance increases and process technology advances into the deep sub-micron region. This dissertation tackles the key issues in the timing verification and delay testing methodologies. An efficient methodology is presented to identify false timing paths in the timing verification methodology which utilizes ATPG technique and timing information from an ordered list of timing paths according to the delay information. This dissertation also presents a speed binning methodology which utilizes structural delay tests successfully instead of functional tests. In addition, it establishes a methodology which quantifies the correlation between the timing verification prediction and actual silicon measurement of timing paths. This quantification methodology lays the foundation for further research to study the impact of deep submicron effects on design performanceElectrical and Computer Engineerin

Improved Path Recovery in Pseudo Functional Path Delay Test Using Extended Value Algebra

Scan-based delay test achieves high fault coverage due to its improved controllability and observability. This is particularly important for our K Longest Paths Per Gate (KLPG) test approach, which has additional necessary assignments on the paths. At the same time, some percentage of the flip-flops in the circuit will not scan, increasing the difficulty in test generation. In particular, there is no direct control on the outputs of those non-scan cells. All the non-scan cells that cannot be initialized are considered “uncontrollable” in the test generation process. They behave like “black boxes” and, thus, may block a potential path propagation, resulting in path delay test coverage loss. It is common for the timing critical paths in a circuit to pass through nodes influenced by the non-scan cells. In our work, we have extended the traditional Boolean algebra by including the “uncontrolled” state as a legal logic state, so that we can improve path coverage. Many path pruning decisions can be taken much earlier and many of the lost paths due to uncontrollable non-scan cells can be recovered, increasing path coverage and potentially reducing average CPU time per path. We have extended the existing traditional algebra to an 11-value algebra: Zero (stable), One (stable), Unknown, Uncontrollable, Rise, Fall, Zero/Uncontrollable, One/Uncontrollable, Unknown/Uncontrollable, Rise/Uncontrollable, and Fall/Uncontrollable. The logic descriptions for the NOT, AND, NAND, OR, NOR, XOR, XNOR, PI, Buff, Mux, TSL, TSH, TSLI, TSHI, TIE1 and TIE0 cells in the ISCAS89 benchmark circuits have been extended to the 11-value truth table. With 10% non-scan flip-flops, improved path delay fault coverage has been observed in comparison to that with the traditional algebra. The greater the number of long paths we want to test; the greater the path recovery advantage we achieve using our algebra. Along with improved path recovery, we have been able to test a greater number of transition fault sites. In most cases, the average CPU time per path is also lower while using the 11-value algebra. The number of tested paths increased by an average of 1.9x for robust tests, and 2.2x for non-robust tests, for K=5 (five longest rising and five longest falling transition paths through each line in the circuit), using the eleven-value algebra in contrast to the traditional algebra. The transition fault coverage increased by an average of 70%. The improvement increased with higher K values. The CPU time using the extended algebra increased by an average of 20%. So the CPU time per path decreased by an average of 40%. In future work, the extended algebra can achieve better test coverage for memory intensive circuits, circuits with logic black boxes, third party IPs, and analog units

Efficient Test Set Modification for Capture Power Reduction

The occurrence of high switching activity when the response to a test vector is captured by flipflops in scan testing may cause excessive IR drop, resulting in significant test-induced yield loss. This paper addresses the problem with a novel method based on test set modification, featuring (1) a new constrained X-identification technique that turns a properly selected set of bits in a fullyspecified test set into X-bits without fault coverage loss, and (2) a new LCP (low capture power) X-filling technique that optimally assigns 0’s and 1’s to the X-bits for the purpose of reducing the switching activity of the resulting test set in capture mode. This method can be readily applied in any test generation flow for capture power reduction without any impact on area, timing, test set size, and fault coverage

Статическая проверка корректности разделения ресурсов в системах реального времени

Among issues which arise when developing software complexes for real-time systems (RTS) one should resolve common multi-task system issues of ensuring logical correctness of the system being created (preserving the integrity of informational resources, eliminating the possibility of mutual task blocking), as well as issues of ensuring dynamic correctness, specific for RTS (feasibility of the application tasks). In the long run, resolving these issues is reduced to checking the correctness of how synchronizing operators which ensure consistent execution of application tasks are scattered in the task bodies. In order to perform such checking statically, models which represent the scattering of synchronizing operators in application tasks are constructed. In this paper several methods of processing such models are proposed which are based on constructing special multi-partite graphs — graphs of synchronizing operator dependencies. Two varieties of such graphs are resented: a) graphs of bundles, which ensure verification of logical correctness of multi-task applications (correctness of intersections of critical interval pairs); and b) graphs of bundles and critical intervals, which ensure verification of dynamic correctness of RTS applications.В ряду вопросов, возникающих в ходе разработки программных комплексов для СРВ, необходимо решать как общие для многозадачных систем вопросы обеспечения логической корректности создаваемой системы (сохранение целостности информационных ресурсов, исключения возможности взаимного блокирования задач), так и специфические для СРВ вопросы динамической корректности (своевременности исполнения задач). Решение этих вопросов в конечном счете сводится к проверке корректности размещения в теле каждой из задач синхронизирующих операторов, обеспечивающих согласованное исполнение задач. Такая проверка корректности осуществляется статически. С этой целью строятся модели, отражающие размещение синхронизирующих операторов в задачах приложения. В настоящей статье предлагаются методы обработки таких моделей посредством построения специальных многодольных графов — графов зависимостей синхронизирующих операторов. Представляются две разновидности таких графов: а) графы связок, обеспечивающие проверку логической корректности многозадачных приложений, (корректность пересечений пар критических интервалов); и б) графы связок и критических интервалов, обеспечивающие проверку динамической корректности приложений для СРВ

Fault simulation and test generation for small delay faults

Delay faults are an increasingly important test challenge. Traditional delay fault models are incomplete in that they model only a subset of delay defect behaviors. To solve this problem, a more realistic delay fault model has been developed which models delay faults caused by the combination of spot defects and parametric process variation. According to the new model, a realistic delay fault coverage metric has been developed. Traditional path delay fault coverage metrics result in unrealistically low fault coverage, and the real test quality is not reflected. The new metric uses a statistical approach and the simulation based fault coverage is consistent with silicon data. Fast simulation algorithms are also included in this dissertation. The new metric suggests that testing the K longest paths per gate (KLPG) has high detection probability for small delay faults under process variation. In this dissertation, a novel automatic test pattern generation (ATPG) methodology to find the K longest testable paths through each gate for both combinational and sequential circuits is presented. Many techniques are used to reduce search space and CPU time significantly. Experimental results show that this methodology is efficient and able to handle circuits with an exponential number of paths, such as ISCAS85 benchmark circuit c6288. The ATPG methodology has been implemented on industrial designs. Speed binning has been done on many devices and silicon data has shown significant benefit of the KLPG test, compared to several traditional delay test approaches

Multi-Cycle at Speed Test

In this research, we focus on the development of an algorithm that is used to generate a minimal number of patterns for path delay test of integrated circuits using the multi-cycle at-speed test. We test the circuits in functional mode, where multiple functional cycles follow after the test pattern scan-in operation. This approach increases the delay correlation between the scan and functional test, due to more functionally realistic power supply noise. We use multiple at-speed cycles to compact K-longest paths per gate tests, which reduces the number of scan patterns. After a path is generated, we try to place each path in the first pattern in the pattern pool. If the path does not fit due to conflicts, we attempt to place it in later functional cycles. This compaction approach retains the greedy nature of the original dynamic compaction algorithm where it will stop if the path fits into a pattern. If the path is not able to compact in any of the functional cycles of patterns in the pool, we generate a new pattern. In this method, each path delay test is compared to at-speed patterns in the pool. The challenge is that the at-speed delay test in a given at-speed cycle must have its necessary value assignments set up in previous (preamble) cycles, and have the captured results propagated to a scan cell in the later (coda) cycles. For instance, if we consider three at-speed (capture) cycles after the scan-in operation, and if we need to place a fault in the first capture cycle, then we must generate it with two propagation cycles. In this case, we consider these propagation cycles as coda cycles, so the algorithm attempts to select the most observable path through them. Likewise, if we are placing the path test in the second capture cycle, then we need one preamble cycle and one coda cycle, and if we are placing the path test in the third capture cycle, we require two preamble cycles with no coda cycles

Enhancement and validation of a test technique for integrated circuits

This thesis focuses on a scan-based delay testing technique that was recently developed at ETS. This new approach, called Captureless Delay Testing (CDT), has been proposed as a technique that complements traditional methods of test, ensuring the integrated circuits will function at their proposed clock speed, further improving the test coverage of the particular type of test. Furthermore, CDT incorporates the use of sensors enabling the detection of the presence of transitions at strategic locations. The purpose of this project is to improve on certain aspects of this novel technique. At first, we analyze the delay distribution of the non-covered nodes by traditional methods of test, in order to develop the best way possible of placement of the CDT sensors. We present, using Perl Language, the ensemble of tools developed for this purpose. The end results obtained confirm that the paths that pass through the non-covered nodes are longer than those that traverse the covered ones. The difference between the two types of paths exceeds 20%) of the clock period when considering the shorter path delay values. Secondly, we propose a fially automated algorithm that enables, at the earliest stages of the test vectors generation process: 1) the identification of the non-covered nodes, 2) the identification of the placements of the CDT sensors at the inputs of the flip-flops for further improvement of the test coverage, and 3) the minimization of the number of sensors with regards to requirements. Our results indicate that when we apply CDT on top of transitionbased fault model we can improve the test coverage by 5%. Moreover, the algorithm of CDT sensors minimization allows a reduction of more than 85% the number of those sensors with a minimal test coverage loss, on average of 1.6%

Observability Driven Path Generation for Delay Test

This research describes an approach for path generation using an observability metric for delay test. K Longest Path Per Gate (KLPG) tests are generated for sequential circuits. A transition launched from a scan flip-flop (SFF) is captured into another SFF during at-speed clock cycles, that is, clock cycles at the rated design speed. The generated path is a ‘longest path’ suitable for delay test. The path generation algorithm then utilizes observability of the fan-out gates in the consecutive, lower-speed clock cycles, known as coda cycles, to generate paths ending at a SFF, to capture the transition from the at-speed cycles. For a given clocking scheme defined by the number of coda cycles, if the final flip-flop is not scan-enabled, the path generation algorithm attempts to generate a different path that ends at a SFF, located in a different branch of the circuit fan-out, indicated by lower observability. The paths generated over multiple cycles are sequentially justified using Boolean satisfiability. The observability metric optimizes the path generation in the coda cycles by always attempting to grow the path through the branch with the best observability and never generating a path that ends at a non-scan flip-flop. The algorithm has been developed in C++. The experiments have been performed on an Intel Core i7 machine with 64GB RAM. Various ISCAS benchmark circuits have been used with various KLPG configurations for code evaluation. Multiple configurations have been used for the experiments. The combinations of the values of K [1, 2, 3, 4, 5] and number of coda cycles [1, 2, 3] have been used to characterize the implementation. A sublinear rise is run time has been observed with increasing K values. The total number of tested paths rise with K and falls with number of coda cycles, due to the increasing number of constraints on the path, particularly due to the fixed inputs