Feasible LID Systems: Transfer Functions and Stability

This lecture covers the concept of feasible LID systems, which are characterized by being implementable using a finite number of memory registers. It explains how feasible LID systems are governed by rational transfer functions and the importance of poles being inside the unit circle for stability. The lecture also delves into the implications of causality and stability in achievable time systems, emphasizing the necessity of the unit circle containment. Additionally, it explores the implementation parameters, complexity of calculations, and the historical perspective on the cost of operations in computing. The presentation concludes with discussions on direct and recursive implementations of filters, trellis implementation, and the significance of reflection coefficients in speech processing.

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Speech coding is an application of data compression to digital audio signals containing speech. Speech coding uses speech-specific parameter estimation using audio signal processing techniques to model the speech signal, combined with generic data compression algorithms to represent the resulting modeled parameters in a compact bitstream. Common applications of speech coding are mobile telephony and voice over IP (VoIP).

Speech processing

Speech processing is the study of speech signals and the processing methods of signals. The signals are usually processed in a digital representation, so speech processing can be regarded as a special case of digital signal processing, applied to speech signals. Aspects of speech processing includes the acquisition, manipulation, storage, transfer and output of speech signals. Different speech processing tasks include speech recognition, speech synthesis, speaker diarization, speech enhancement, speaker recognition, etc.

Speech synthesis

Speech synthesis is the artificial production of human speech. A computer system used for this purpose is called a speech synthesizer, and can be implemented in software or hardware products. A text-to-speech (TTS) system converts normal language text into speech; other systems render symbolic linguistic representations like phonetic transcriptions into speech. The reverse process is speech recognition. Synthesized speech can be created by concatenating pieces of recorded speech that are stored in a database.

Linear predictive coding

Linear predictive coding (LPC) is a method used mostly in audio signal processing and speech processing for representing the spectral envelope of a digital signal of speech in compressed form, using the information of a linear predictive model. LPC is the most widely used method in speech coding and speech synthesis. It is a powerful speech analysis technique, and a useful method for encoding good quality speech at a low bit rate.

Impulse response

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