On Improving the Accuracy and Robustness of Time Delay Estimation of Broadband Signals

• Published in: Circuits, systems, and signal processing systems, and signal processing, 2022, Vol.41 (1), p.514-531
• Main Authors: Narayanamurthy, B. H. V. S., Satyanarayana, J. V., Yegnanarayana, B.
• Format: Article
• Language: English
• Subjects: Accuracy; Broadband; Circuits and Systems; Cross correlation; Deep learning; Distortion; Electrical Engineering; Electronics and Microelectronics; Engineering; Instrumentation; Integers; Localization; Methods; Microphones; Neural networks; Noise; Reverberation; Robustness; Sampling; Signal processing; Signal,Image and Speech Processing; Time lag; Waveforms
• ISSN: 0278-081X; 1531-5878
• DOI: 10.1007/s00034-021-01794-7

The time delay between signals received at two spatially separated microphones is estimated using the location of the peak in the cross-correlation sequence between the two signals. The estimated delay is usually expressed in integer multiple of the sampling interval. The robustness of the delay estimation is affected by the degradation of the signals due to waveform distortion, noise, reflections, and reverberation. The broadband nature of speech signals is exploited to derive multiple evidence for the time delay from each frequency component of the signal. This helps to reduce the effects of waveform distortion, as the cross-correlation is computed on individual components. The multiple evidence provides robustness in the estimation of the time delay. The accuracy of the estimated time delay depends on the error between the integer delay and the true fractional delay. Methods are proposed to estimate the fractional part of the sampling interval of the delay. Robustness of the proposed method of estimation of the fractional part of the delay is examined for different types and levels of additive noise, as well for reverberation. Experimental results are given for data collected in an actual live room.