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Cyclic variability (CV) in combustion in IC-SI engines, manifested as variation in combustion pressure, is a long term as well as a contemporary problem. CV and its relation to several areas of engine control and diagnostics are discussed. A novel stochastic model relating combustion pressure to crankshaft velocity in an IC-SI engine is presented. This model incorporates a random combustion pressure signal model composed of a deterministic waveform and a random sequence modeling cyclic variation in combustion pressure. A discrete recursion is developed relating this sequence to noisy measurements of velocity. The inverse problem of reconstructing this sequence from one measurement of velocity per combustion is solved using a signal processing deconvolution method. Experimental results using real-world engine data are presented verifying the theoretical developments for low to moderate engine speed and moderate engine load.