Is the noise related to pulsation frequencies or gear tooth mesh frequencies? Spectrum analysis from microphone is needed. Can the sound pressure from microphone be correlated with vibrations from accelerometer?
Structural natural frequencies and looseness (rattles) can amplify vibration sources and radiate noise. Typical issues can be from sound enclosure panels, coupling guards, machine component mounts, pipe supports and brackets, and air silencers.
Check for air leaks in the relief (bypass) line. Check for internal damage to discharge air silencer (in present).
A directional microphone in combination with spectrum analysis can help pinpoint location of noise source. Vibration measurements, ultrasound measurements, audio stethoscope, and finger touch can also help pinpoint location of noise source.
Walt