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This paper addresses the estimation of time delay between two spatially separated noisy signals by system identification modeling with the input and output corrupted by additive white Gaussian noise. The proposed method is based on a modified adaptive Butler-Cantoni equalizer that decouples noise variance estimation from channel estimation. The bias in time delay estimates that is induced by input noise is reduced by an IIR whitening filter whose coefficients are found by the Burg algorithm. For step time-variant delays, a dual mode operation scheme is adopted in which we define a normal operating (tracking) mode and an interrupt operating (optimization) mode. In the tracking mode, only a few coefficients of the impulse response vector are monitored through L1-normed finite forward differences tracking, while in the optimization mode, the time delay optimized. Simulation results confirm the superiority of the proposed approach at low signal-to-noise ratios.
An accurate, fast delay calculation method suitable for high-performance, low-power LSI design is proposed. The delay calculation is composed of two steps: (1) the gate delay is calculated by using an effective capacitance obtained from a simple model we propose; and (2) the interconnect delay is also calculated from the effective capacitance and modified by using the gate-output transition time. The proposed delay calculation halves the error of a conventional rough calculation, achieving a computational error within 10% per gate stage. The mathematical models are simple enough that the method is suitable for quick delay calculation and logic circuit optimization in the early stages of LSI design. A delay optimization tool using this delay calculation method reduced the worst path delay of a multiply-add module by 11.2% and decreased the sizes of 58.1% of the gates.
Ankur SRIVASTAVA Chunhong CHEN Majid SARRAFZADEH
We propose a timing driven gate duplication algorithm for the technology independent phase. Our algorithm is a generalization of the gate duplication strategy suggested in [3]. Our technique gets a more global view by duplicating multiple gates at a time. We compare the minimum circuit delay obtained by SIS with the delay obtained by using our gate duplication. Results show that up to 11% improvement in delay can be obtained. Our algorithm does not have an adverse effect on the overall synthesis time, indicating that gate duplication is an efficient strategy for timing optimization.