Minimum gain identifiable when pseudo‐random binary sequences are used for system identification in noisy conditions. Issue 22 (1st October 2013)

• Record Type: Journal Article
• Authors: Davidson, J.N.; Stone, D.A.; Foster, M.P.
• Is Part Of: Electronics letters. Volume 49:Issue 22(2013)
• Page Start: 1388
• Page End: 1389
• Publication Date: 2013-10-01
• Subjects: discrete Fourier transforms -- signal processing -- white noise; minimum gain identifiable -- pseudo random binary sequences -- noisy condition system identification -- PRBS based approaches -- output signal -- discrete Fourier transforms -- white noise -- transfer function -- noisy Bode plots -- actual noise level; Electronics -- Periodicals; 621.381
• DOI: 10.1049/el.2013.1034
• Languages: English
• ISSNs: 0013-5194

Abstract

Abstract : A method to determine the minimum gain of the system is presented which can be identified by pseudorandom binary sequence (PRBS)‐based approaches when noise is present in the output signal. A formula for the minimum gain is derived in terms of required noise resilience from the discrete Fourier transforms of the PRBS signals and white noise. The formula allows an engineer to discount noise‐affected low‐gain portions of the transfer function. The calculated minimum gain is compared graphically with noisy Bode plots and good agreement is shown with the actual noise level, demonstrating the usefulness of the result.