In this paper, we present a novel method to extract noise-robust speech feature representation in speech recognition. This method employs the algorithm of linear predictive coding (LPC) on the feature time series of mel-frequency cepstral coefficients (MFCC). The resulting linear predictive version of the feature time series, in which the linear prediction error component is removed, reveals more noise-robust than the original one, probably because the prediction error portion corresponding to the noise effect is alleviated accordingly. Experiments conducted on the Aurora-2 connected digit database shows that the presented approach can enhance the noise robustness of various types of features in terms of significant improvement in recognition performance under a wide range of noise environments. Furthermore, a low order of linear prediction for the presented method suffices to give promising performance, which implies this method can be implemented in a quite efficient manner.