Scalable algorithms for software based self test using formal methods

textTransistor scaling has kept up with Moore's law with a doubling of the number of transistors on a chip. More logic on a chip means more opportunities for manufacturing defects to slip in. This, in turn, has made processor testing after manufacturing a significant challenge. At-speed functional testing, being completely non-intrusive, has been seen as the ideal way of testing chips. However for processor testing, generating instruction level tests for covering all faults is a challenge given the issue of scalability. Data-path faults are relatively easier to control and observe compared to control-path faults. In this research we present a novel method to generate instruction level tests for hard to detect control-path faults in a processor. We initially map the gate level stuck-at fault to the Register Transfer Level (RTL) and build an equivalent faulty RTL model. The fault activation and propagation constraints are captured using Control and Data Flow Graphs of the RTL as a Liner Temporal Logic (LTL) property. This LTL property is then negated and given to a Bounded Model Checker based on a Bit-Vector Satisfiability Module Theories (SMT) solver. From the counter-example to the property we can extract a sequence of instructions that activates the gate level fault and propagates the fault effect to one of the observable points in the design. Other than the user supplying instruction constraints, this approach is completely automatic and does not require any manual intervention. Not all the design behaviors are required to generate a test for a fault. We use this insight to scale our previous methodology further. Underapproximations are design abstractions that only capture a subset of the original design behaviors. The use of RTL for test generation affords us two types of under-approximations: bit-width reduction and operator approximation. These are abstractions that perform reductions based on semantics of the RTL design. We also explore structural reductions of the RTL, called path based search, where we search through error propagation paths incrementally. This approach increases the size of the test generation problem step by step. In this way the SMT solver searches through the state space piecewise rather than doing the entire search at once. Experimental results show that our methods are robust and scalable for generating functional tests for hard to detect faults.Electrical and Computer Engineerin

Identifying worst case test vectors for FPGA exposed to total ionization dose using design for testability techniques

Electronic devices often operate in harsh environments which contain a variation of radiation sources. Radiation may cause different kinds of damage to proper operation of the devices. Their sources can be found in terrestrial environments, or in extra-terrestrial environments like in space, or in man-made radiation sources like nuclear reactors, biomedical devices and high energy particles physics experiments equipment. Depending on the operation environment of the device, the radiation resultant effect manifests in several forms like total ionizing dose effect (TID), or single event effects (SEEs) such as single event upset (SEU), single event gate rupture (SEGR), and single event latch up (SEL). TID effect causes an increase in the delay and the leakage current of CMOS circuits which may damage the proper operation of the integrated circuit. To ensure proper operation of these devices under radiation, thorough testing must be made especially in critical applications like space and military applications. Although the standard which describes the procedure for testing electronic devices under radiation emphasizes the use of worst case test vectors (WCTVs), they are never used in radiation testing due to the difficulty of generating these vectors for circuits under test. For decades, design for testability (DFT) has been the best choice for test engineers to test digital circuits in industry. It has become a very mature technology that can be relied on. DFT is usually used with automatic test patterns generation (ATPG) software to generate test vectors to test application specific integrated circuits (ASICs), especially with sequential circuits, against faults like stuck at faults and path delay faults. Surprisingly, however, radiation testing has not yet made use of this reliable technology. In this thesis, a novel methodology is proposed to extend the usage of DFT to generate WCTVs for delay failure in Flash based field programmable gate arrays (FPGAs) exposed to total ionizing dose (TID). The methodology is validated using MicroSemi ProASIC3 FPGA and cobalt 60 facility

The 30/20 GHz flight experiment system, phase 2. Volume 2: Experiment system description

A detailed technical description of the 30/20 GHz flight experiment system is presented. The overall communication system is described with performance analyses, communication operations, and experiment plans. Hardware descriptions of the payload are given with the tradeoff studies that led to the final design. The spacecraft bus which carries the payload is discussed and its interface with the launch vehicle system is described. Finally, the hardwares and the operations of the terrestrial segment are presented

Accurately constraining velocity information from spectral imaging observations using machine learning techniques

Determining accurate plasma Doppler (line-of-sight) velocities from spectroscopic measurements is a challenging endeavour, especially when weak chromospheric absorption lines are often rapidly evolving and, hence, contain multiple spectral components in their constituent line profiles. Here, we present a novel method that employs machine learning techniques to identify the underlying components present within observed spectral lines, before subsequently constraining the constituent profiles through single or multiple Voigt fits. Our method allows active and quiescent components present in spectra to be identified and isolated for subsequent study. Lastly, we employ a Ca II 8542 {\AA} spectral imaging dataset as a proof-of-concept study to benchmark the suitability of our code for extracting two-component atmospheric profiles that are commonly present in sunspot chromospheres. Minimisation tests are employed to validate the reliability of the results, achieving median reduced $\chi^2$ values equal to 1.03 between the observed and synthesised umbral line profiles.Comment: 23 pages, 8 figures. Improved formatting of abstract and reference

The Fifth NASA Symposium on VLSI Design

The fifth annual NASA Symposium on VLSI Design had 13 sessions including Radiation Effects, Architectures, Mixed Signal, Design Techniques, Fault Testing, Synthesis, Signal Processing, and other Featured Presentations. The symposium provides insights into developments in VLSI and digital systems which can be used to increase data systems performance. The presentations share insights into next generation advances that will serve as a basis for future VLSI design

Heuristics Based Test Overhead Reduction Techniques in VLSI Circuits

The electronic industry has evolved at a mindboggling pace over the last five decades. Moore’s Law [1] has enabled the chip makers to push the limits of the physics to shrink the feature sizes on Silicon (Si) wafers over the years. A constant push for power-performance-area (PPA) optimization has driven the higher transistor density trends. The defect density in advanced process nodes has posed a challenge in achieving sustainable yield. Maintaining a low Defect-per-Million (DPM) target for a product to be viable with stringent Time-to-Market (TTM) has become one of the most important aspects of the chip manufacturing process. Design-for-Test (DFT) plays an instrumental role in enabling low DPM. DFT however impacts the PPA of a chip. This research describes an approach of minimizing the scan test overhead in a chip based on circuit topology heuristics. These heuristics are applied on a full-scan design to convert a subset of the scan flip-flops (SFF) into D flip-flops (DFF). The K Longest Path per Gate (KLPG) [2] automatic test pattern generation (ATPG) algorithm is used to generate tests for robust paths in the circuit. Observability driven multi cycle path generation [3][4] and test are used in this work to minimize coverage loss caused by the SFF conversion process. The presence of memory arrays in a design exacerbates the coverage loss due to the shadow cast by the array on its neighboring logic. A specialized behavioral modeling for the memory array is required to enable test coverage of the shadow logic. This work develops a memory model integrated into the ATPG engine for this purpose. Multiple clock domains pose challenges in the path generation process. The inter-domain clocking relationship and corresponding logic sensitization are modeled in our work to generate synchronous inter-domain paths over multiple clock cycles. Results are demonstrated on ISCAS89 and ITC99 benchmark circuits. Power saving benefit is quantified using an open-source standard-cell library