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Theory and Implementation of Extensions to Time Delay Spectrometry

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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.

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AES - Audio Engineering Society