Co-optimization of memory BIST grouping, test scheduling, and logic placement

Built-in self-test (BIST) is a well-known design technique in which part of a circuit is used to test the circuit itself. BIST plays an important role for embedded memories, which do not have pins or pads exposed toward the periphery of the chip for testing with automatic test equipment. With the rapidly increasing number of embedded memories in modern SOCs (up to hundreds of memories in each hard macro of the SOC), product designers incur substantial costs of test time (subject to possible power constraints) and BIST logic physical resources (area, routing, power). However, only limited previous work addresses the physical design optimization of BIST logic; notably, Chien et al. [7] optimize BIST design with respect to test time, routing length, and area. In our work, we propose a new three-step heuristic approach to minimize test time as well as test physical layout resources, subject to given upper bounds on power consumption. A key contribution is an integer linear programming ILP framework that determines optimal test time for a given cluster of memories using either one or two BIST controllers, subject to test power limits and with full comprehension of available serialization and parallelization. Our heuristic approach integrates (i) generation of a hypergraph over the memories, with test time-aware weighting of hyperedges, along with top-down, FM-style min-cut partitioning; (ii) solution of an ILP that comprehends parallel and serial testing to optimize test scheduling per BIST controller; and (iii) placement of BIST logic to minimize routing and buffering costs. When evaluated on hard macros from a recent industrial 28nm networking SOC, our heuristic solutions reduce test time estimates by up to 11.57% with strictly fewer BIST controllers per hard macro, compared to the industrial solutions.