[H. K. Wong, J. Schoukens and K. R. Godfrey, "Design of Multilevel Signals for Identifying the Best Linear Approximation of Nonlinear Systems," in
IEEE Transactions on Instrumentation and Measurement, vol. 62, no. 2, pp. 519-524, Feb. 2013.]
BLA: Best Linear Approximation
This looks like an interesting paper but they have a different requirement on the input sequence. Where I am most interested in an good autocorrelation they want all moments of the signal to be zero.
The BLA depends on the power and the amplitude distributions of the inputs {u}. As noted earlier, the BLA when using a Gaussian input sequence has been well studied [2], [6]. The objective in this paper will be to design multilevel sequences with moments as close as possible to those of a zero-mean Gaussian sequence u∼N(0,σ2), for which the mth moment Mm≡E[um]=(m−1)!! for even m and zero for odd m. Here, (m−1)!! is the double factorial of (m−1) given by (m−1)(m−3)(m−5)⋯1. The closer the moments of an arbitrary sequence match the moments of N(0,σ2), the closer the estimated BLA will be to that estimated using a Gaussian input sequence.
