Our previous work on finite-frequency shot noise S(omega) in a correla
ted tunneling current has been extended to investigate the shot-noise
behavior in a single-electron transistor (SET), with emphasis on asymm
etric SET. We found that both the increase of the asymmetry and the in
crease of the gate voltage will broaden S(omega), and S(0) is further
suppressed by the gate capacitance. At low bias voltage, a condition i
s obtained under which the noise spectrum S(omega) is white (frequency
independent). We have also demonstrated at the quantitative level how
the signal-to-noise ratio in a SET can be controlled by adjusting the
gate voltage and the degree of asymmetry.