Lower-bound on SNR of the nth-order hyperbolic time-frequency kernel

Khoa N. Le

doi:10.1016/j.jsv.2008.09.038

Lower-bound on SNR of the nth-order hyperbolic time-frequency kernel

Khoa N. Le

School of Engineering, Design & Built Environment

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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 Î², Ï„, 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 Î² as inputs, and lower-bound on SNR as output are given. Possible further work is outlined.

Original language	English
Pages (from-to)	405-415
Number of pages	11
Journal	Journal of Sound and Vibration
Volume	321
Issue number	45323
DOIs	https://doi.org/10.1016/j.jsv.2008.09.038
Publication status	Published - 2009

Keywords

exponential functions
noise
signal processing
wavelets (mathematics)

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10.1016/j.jsv.2008.09.038

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abstract = "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 {\^I}², {\"I}„, 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 {\^I}² as inputs, and lower-bound on SNR as output are given. Possible further work is outlined.",

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AU - Le, Khoa N.

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AB - 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 Î², Ï„, 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 Î² as inputs, and lower-bound on SNR as output are given. Possible further work is outlined.

KW - exponential functions

KW - noise

KW - signal processing

KW - wavelets (mathematics)

UR - http://handle.uws.edu.au:8081/1959.7/548537

U2 - 10.1016/j.jsv.2008.09.038

DO - 10.1016/j.jsv.2008.09.038

M3 - Article

SN - 1095-8568

SN - 0022-460X

VL - 321

SP - 405

EP - 415

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 45323

ER -

Lower-bound on SNR of the nth-order hyperbolic time-frequency kernel

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Keywords

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