Waveform error control in PCM telemetry

An optimum system for transmitting a sample function from a stationary second order process over the BSC in real time is formulated under the mean-integral-square error criterion. The optimum number of channel bits and the optimum assignment of these bits to the samples is determined for the SGM process with . The system error is evaluated and compared to the error performances of systems using time sampling with and without data compression. Shannon\´s information rate is also computed for these systems and compared to the theoretical limit and to Goblick\´s BSQC digitizer. We also present a waveform representation technique based on Hotelling\´s method of principal components. The waveform-to-vector converter consists of a time sampler followed by a digital filter, and the vector-to-waveform reconstructor consists of a digita filter followed by a linear interpolator. Performance is shown to be comparable to KL sampling.