Speech Analysis
What Is Speech Analysis?
Speech analysis is the computational examination of recorded speech signals to extract meaningful acoustic, phonetic, or linguistic information. It encompasses a broad set of techniques that transform a time-domain waveform into representations suited to specific tasks: measuring prosody, identifying phonemes, characterizing speaker identity, detecting pathology, or preparing features for machine learning models. Speech analysis occupies a foundational role in the pipeline of every system that processes spoken language, from telephone codecs and voice assistants to clinical tools for diagnosing dysarthria or vocal cord disorders.
The field draws from digital signal processing, acoustic phonetics, and statistical modeling. Short-time analysis is the organizing principle: because the vocal tract changes shape on timescales of tens of milliseconds, a speech signal is analyzed in frames of roughly 20 to 30 milliseconds, with each frame treated as a quasi-stationary segment from which spectral features are extracted. The resulting sequence of feature vectors forms a trajectory through acoustic space that encodes the spoken content, the speaker's identity, and prosodic information such as stress and intonation.
Cepstral Analysis
Cepstral analysis is a technique for separating the excitation source from the vocal tract filter in the speech signal, a decomposition that proves useful for both pitch estimation and spectral envelope characterization. The cepstrum is computed by taking the logarithm of the magnitude spectrum of a speech frame and then applying an inverse Fourier transform. In the resulting cepstral domain, the slow-varying spectral envelope (vocal tract resonances) appears at low quefrency values, while the rapidly oscillating harmonic structure from vocal fold vibration appears at high quefrency values corresponding to the pitch period. A liftering operation, analogous to filtering in the frequency domain, separates these two components. Mel-frequency cepstral coefficients (MFCCs) extend this idea by computing the cepstrum of a log mel-scale spectrum, mapping frequencies to a perceptually motivated scale before the transform. MFCCs capture the coarse spectral shape of each speech frame in 12 to 20 coefficients and have served as the dominant acoustic feature in automatic speech recognition for several decades. An introduction to these representations is provided in speech feature extraction algorithms from IntechOpen, covering the computation and interpretation of MFCCs, cepstral coefficients, and related features.
Frequency Estimation in Speech
Frequency estimation applied to speech primarily targets two quantities: the fundamental frequency (F0, perceived as pitch) and the formant frequencies that characterize vowels and sonorant consonants. Pitch estimation algorithms operate on voiced speech frames, where the vocal folds vibrate periodically. Classical methods include the autocorrelation function approach, which identifies the time lag corresponding to the strongest periodic repetition, and the cepstral method, which identifies the pitch period as the first prominent peak in the high-quefrency region of the cepstrum. The RAPT (Robust Algorithm for Pitch Tracking) and CREPE (convolutional representation for pitch estimation) algorithms represent successive generations of pitch trackers, from signal-processing heuristics to deep neural network approaches. Formant tracking, in contrast, estimates the resonant frequencies of the vocal tract by fitting an all-pole model to each speech frame using linear predictive coding (LPC). The poles of the LPC filter correspond to formants, and tracking them over time reveals vowel transitions and coarticulation effects. A detailed treatment of these methods appears in lecture notes from Lawrence Rabiner's digital speech processing course at UCSB, which covers both pitch detection and formant analysis algorithms.
Short-Time Energy and Voicing Detection
Beyond spectral features, short-time energy and zero-crossing rate provide efficient indicators of speech activity and voicing state. Voiced speech, produced with vocal fold vibration, has relatively high energy and a low zero-crossing rate because the periodic waveform crosses zero at the fundamental frequency. Unvoiced sounds such as fricatives are noisy, have broader energy spread across the spectrum, and cross zero far more frequently. Automatic voice activity detection (VAD) systems use these features to distinguish speech from silence and noise, a necessary preprocessing step in telephony, hearing aids, and hands-free communication systems. The cepstrum and MFCC discussion in the Aalto University speech processing textbook situates these feature types within the broader framework of speech representation.
Applications
Speech analysis has applications in a range of fields, including:
- Automatic speech recognition front-end feature extraction for voice assistants and transcription systems
- Speaker verification and identification in secure access and forensic contexts
- Clinical assessment of vocal pathologies including dysphonia, dysarthria, and Parkinson's disease
- Prosody analysis for natural language understanding and emotion recognition
- Low-bitrate speech coding in voice-over-IP and satellite communication systems