Statistical Analysis for Pattern-Dependent Simultaneous Switching Outputs (SSO) of Parallel Single-Ended Buffers

Abstract

Switching currents of simultaneous switching output (SSO) buffers can cause significant power-supply-induced jitter (PSIJ) and uncertainty in the output voltages. The bit error rate (BER) can be simulated by considering all possible input data patterns with a long data sequence; however, it requires large computational efforts. In this paper, the SSO waveforms are analytically calculated, including the rise time of the input voltage, and the probability density functions (PDFs) of the waveforms are analytically calculated. The PDFs of the SSO step responses are combined with the inter-symbol interference (ISI) PDF extraction. The statistical eye and BER eye diagrams obtained from the proposed method are validated with HSPICE simulations. The effects of the SSO patterns as well as the channel ISI are successfully included in the proposed method. Also, the effects of input rise time and the number of parallel SSO buffers are investigated, and the proposed method is extended for analysis of SSO buffers with the data bus inversion (DBI) coding. The method should be practically useful for design of wideband memory I/O interfaces and low-cost consumer devices by reducing the computational time of the jitter and BER drastically.