This paper analyzes the identification precision of the finite impulse response (FIR) function models of discrete-time control systems under the pseudorandom m-sequences stimulation and colored-noise disturbances. The mistake in the reference document is corrected and an explicit formula of the correlation identification precision is given in the case of colored noises. Moreover, the lower and the upper bounds of the FIR identification precision are suggested, and the conditions of reaching the bounds are obtained. Two examples are given to support the analysis.