Theory and Implementation of Extensions to Time Delay Spectrometry
Gareth Cook, Anthony Zaknich · UWA Profiles and Research Repository (University of Western Australia) · 1996
Two new results are added to the theory of Time Delay Spectrometry (TDS). The first is the discovery of a fundamental property of the complex linear frequency sweep. This property allows for perfect reconstruction of the desired spectrum. The second result is a refinement to the definition of space equivalent bandwidth. Implementation issues are addressed and a computer simulation is described which exploits these new results. Precise expressions for error are developed. 0 Introduction Time Delay Spectrometry (TDS) was first proposed by Heyser [1] as a means of measuring the frequency response of loudspeakers in reverberant environments. A review of TDS theory is presented which introduces the intuitive and mathematical basis to the technique. A new theoretical result is presented which addresses a fundamental limitation of current TDS technology. Practical implications of the result are discussed and precise expressions for the measurement error are derived. The choice of filter is d...