AM-FM Representation Research Articles

Speaker Identification Using Instantaneous Frequencies

This paper presents an experimental evaluation of different features for use in speaker identification. The features are tested using speech data provided by the chains corpus, in a closed-set speaker identification task. The main objective of the paper is to present a novel parametrization of speech that is based on the AM-FM representation of the speech signal and to assess the utility of these features in the context of speaker identification. In order to explore the extent to which different instantaneous frequencies due to the presence of formants and harmonics in the speech signal may predict a speaker's identity, this work evaluates three different decompositions of the speech signal within the same AM-FM framework: a first setup has been used previously for formant tracking, a second setup is designed to enhance familiar resonances below 4000 Hz, and a third setup is designed to approximate the bandwidth scaling of the filters conventionally used in the extraction of Mel-fequency cepstral coefficients (MFCCs). From each of the proposed setups, parameters are extracted and used in a closed-set text-independent speaker identification task. The performance of the new featural representation is compared with results obtained adopting MFCC and RASTA-PLP features in the context of a generic Gaussian mixture model (GMM) classification system. In evaluating the novel features, we look selectively at information for speaker identification contained in the frequency range 0-4000 Hz and 4000-8000 Hz, as the instantaneous frequencies revealed by the AM-FM approach suggest the presence of structures not well known from conventional spectrographic analyses. Accuracy results obtained using the new parametrization perform as well as conventional MFCC parameters within the same reference system, when tested and trained on modally voiced speech which is mismatched in both channel and style. When the testing material is whispered speech, the new parameters provide better results than any of the other features tested, although they remain far from ideal in this limiting case.

Multicomponent AM–FM Representations: An Asymptotically Exact Approach

This paper presents, on the basis of a rigorous mathematical formulation, a multicomponent sinusoidal model that allows an asymptotically exact reconstruction of nonstationary speech signals, regardless of their duration and without any limitation in the modeling of voiced, unvoiced, and transitional segments. The proposed approach is based on the application of the Hilbert transform to obtain an amplitude signal from which an AM component is extracted by filtering, so that the residue can then be iteratively processed in the same way. This technique permits a multicomponent AM-FM model to be derived in which the number of components (iterations) may be arbitrarily chosen. Additionally, the instantaneous frequencies of these components can be calculated with a given accuracy by segmentation of the phase signals. The validity of the proposed approach has been proven by some applications to both synthetic signals and natural speech. Several comparisons show how this approach almost always has a higher performance than that obtained by current best practices, and does not need the complex filter optimizations required by other techniques

Fingerprint classification using an AM-FM model

Research on fingerprint classification has primarily focused on finding improved classifiers, image and feature enhancement, and less on the development of novel fingerprint representations. Using an AM-FM representation for each fingerprint, we obtain significant gains in classification performance as compared to the commonly used National Institute of Standards system, for the same classifier.

Texture segmentation using modulated wavelet transform

The wavelet (packet) transform has been widely used for texture analysis; however, the extracted features of similar textures with symmetric orientations are indistinguishable. Motivated by the AM-FM representation, the so called modulated wavelet (packet) transform that can be implemented efficiently by the conventional pyramid (tree) structured algorithms is developed. The performance of this new transform is demonstrated on the segmentation of Brodatz textures and an aerial image of San Francisco.

The multicomponent AM-FM image representation

We compute AM-FM representations for multicomponent, nonstationary images using a statistical component model. Components are isolated with a filterbank comprising frequency and orientation selective channels. The modulating functions for each component are estimated from the channel responses using localized nonlinear operators followed by optimal MMSE estimators. We also demonstrate reconstruction from the representation.