The invention discloses a finite field trace-based multi-level pseudo-random disturbance
signal generation method and
system. The method comprises the steps of constructing an extension field according to a
target level number and an expected period; generating an extension
field element sequence in the extension field according to the selected non-zero primitives and coefficients, wherein the extension
field element sequence is a non-zero extension
field element sequence; domain trace mapping is applied to the extended
domain element sequence, so that the dimension of the extended
domain element sequence is reduced to obtain a
base domain symbol sequence; and converting the
base domain symbol sequence into a symmetric multi-level symbol sequence according to a predetermined mapping rule, and expanding the symmetric multi-level symbol sequence into a continuous time disturbance
signal through zero order keeping, namely a multi-level pseudo-random disturbance
signal. According to the method, the
level number and the signal period of the disturbance signals can be adjusted according to needs, the disturbance signals with controllable spectral characteristics and wide
frequency band coverage are generated, the method has the advantages of being uniform in
spectral line distribution, excellent in correlation, simple in hardware implementation and the like, the
frequency domain resolution of impedance
estimation can be improved conveniently, and injection
transient stress is reduced.