title: Speech Enhancement, Gain, and Noise Spectrum Adaptation Using Approximate Bayesian Estimation.
abstract: This paper presents a new approximate Bayesian estimator for enhancing a noisy speech signal. The speech model is assumed to be a Gaussian mixture model (GMM) in the log-spectral domain. This is in contrast to most current models in frequency domain. Exact signal estimation is a computationally intractable problem. We derive three approximations to enhance the efficiency of signal estimation. The Gaussian approximation transforms the log-spectral domain GMM into the frequency domain using minimal Kullback-Leiber (KL)-divergency criterion. The frequency domain Laplace method computes the maximum a posteriori (MAP) estimator for the spectral amplitude. Correspondingly, the log-spectral domain Laplace method computes the MAP estimator for the log-spectral amplitude. Further, the gain and noise spectrum adaptation are implemented using the expectation-maximization (EM) algorithm within the GMM under Gaussian approximation. The proposed algorithms are evaluated by applying them to enhance the speeches corrupted by the speech-shaped noise (SSN). The experimental results demonstrate that the proposed algorithms offer improved signal-to-noise ratio, lower word recognition error rate, and less spectral distortion.
authors.affiliation: Institute for Neural Computation, University of California, San Diego, CA 92093-0523 USA.
authors.forename: Jiucang
authors.initials: J
authors.lastname: Hao
authors.forename: Hagai
authors.initials: H
authors.lastname: Attias
authors.forename: Srikantan
authors.initials: S
authors.lastname: Nagarajan
authors.forename: Te-Won
authors.initials: TW
authors.lastname: Lee
authors.forename: Terrence J
authors.initials: TJ
authors.lastname: Sejnowski