Stochastic resonance （SR） is studied in linear systems under modulated noise when the modulated noise is a linear combination of multiplicative and additive noise.The exact expression of the first two moments and signal-to-noise ratio（SNR） are obtained.We find the bona fide SR, conventional SR and SR in the broad sense. Both resonance and suppression appear in the bona fide SR. Moreover,choosing mutilplicative and additive noise as modulated noise can enhance SNR for different degrees of cross correlation.