  The Laser Interferometer Space Antenna (LISA) is a planned space-based
observatory to measure gravitational waves in the millihertz frequency band.
This frequency band is expected to be dominated by signals from millions of
Galactic binaries and tens of merging massive black hole binaries. The LISA
Data Challenge 2a is focused on robust signal extraction from a blend of these
two types of gravitational wave signals. Here, we introduce a novel high
performance and cost-effective global fit pipeline extracting and
characterizing galactic binary and massive black hole binary signals and
estimate the noise of the residual. We perform the pipeline in a time-evolving
weekly analysis starting with an observation time of 1 week until we reach a
full year. As expected we detect more galactic binaries and massive black hole
binaries bringing the noise estimate of the residual closer to the instrument
noise with each week of additional observation time. Furthermore, we present a
novel maximum likelihood estimate-based algorithm for extracting multiple
massive black hole binaries. Additionally, we demonstrate a massive black hole
binary signal extraction with a more accurate LISA response, considering higher
harmonic modes, in a noisy data set.
