  In the frequency band of Laser Interferometer Space Antenna (LISA), extensive
research has been conducted on the impact of foreground confusion noise
generated by galactic binaries within the Milky Way galaxy. Additionally, the
recent evidence for a stochastic signal, announced by the NANOGrav, EPTA, PPTA,
CPTA and InPTA, indicates that the stochastic gravitational-wave background
generated by supermassive black hole binaries (SMBHBs) can contribute a strong
background noise within in LISA band. Given the presence of such strong noise,
it is expected to have a considerable impacts on LISA's scientific missions. In
this work, we investigate the impacts of the SGWB generated by SMBHBs on the
detection of massive black hole binaries (MBHBs), verified galactic binaries
(VGBs) and extreme mass ratio inspirals (EMRIs) in the context of LISA, and
find it crucial to resolve and eliminate the exceed noise from the SGWB to
ensure the success of LISA's missions.
