  AMIGA (Auger Muons and Infill for the Ground Array) is an upgrade of the
Pierre Auger Observatory to complement the study of ultra-high-energy cosmic
rays (UHECR) by measuring the muon content of extensive air showers (EAS). It
consists of an array of 61 water Cherenkov detectors on a denser spacing in
combination with underground scintillation detectors used for muon density
measurement. Each detector is composed of three scintillation modules, with 10
m$^2$ detection area per module, buried at 2.3 m depth, resulting in a total
detection area of 30 m$^2$. Silicon photomultiplier sensors (SiPM) measure the
amount of scintillation light generated by charged particles traversing the
modules. In this paper, the design of the front-end electronics to process the
signals of those SiPMs and test results from the laboratory and from the Pierre
Auger Observatory are described. Compared to our previous prototype, the new
electronics shows a higher performance, higher efficiency and lower power
consumption, and it has a new acquisition system with increased dynamic range
that allows measurements closer to the shower core. The new acquisition system
is based on the measurement of the total charge signal that the muonic
component of the cosmic ray shower generates in the detector.
