An estimate of the lower-bound on signal-to-noise ratio (SNR) of the nth-order hyperbolic time-frequency kernel is given. The effects of kernel parameters such as beta, tau, n and a on the SNR are discussed. In particular, the direct relationship between the SNR and auto-term slope a is studied in detail. Conditions under which the lower-bound on SNR is obtained are derived. Preliminary observations on a transfer function model with the auto-term slope a and beta as inputs, and lower-bound on SNR as output are given. Possible further work is outlined. Crown Copyright (C) 2008 Published by Elsevier Ltd. All rights reserved.
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页码:405 / 415
页数:11
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ZWILLINGER D, 2003, STANDARD MATH TABLES, P541