1. A feature compensation apparatus for speech recognition in a noisy environment, the feature compensation apparatus comprising: a feature extractor configured to extract corrupt speech features from a corrupt speech signal with additive noise that consists of two or more frames; a noise estimator configured to estimate noise features based on the extracted corrupt speech features and compensated speech features; a linear model generator configured to approximate a Gaussian mixture model (GMM) probability distribution, the estimated noise features and the extracted corrupt speech features into a linear model; a probability calculator configured to calculate a correlation between adjacent frames of the corrupt speech signal; and a speech feature compensator configured to generate compensated speech features by eliminating noise features of the extracted corrupt speech features while taking into consideration the correlation between adjacent frames of the corrupt speech signal and the estimated noise features, and to transmit the generated compensated speech features to the noise estimator.