  We discuss two new DoS approaches for finite density lattice QCD. The paper
extends a recent presentation of the new techniques based on Wilson fermions,
while here we now discuss and test the case of finite density QCD with
staggered fermions. The first of our two approaches is based on the canonical
formulation where observables at a fixed net quark number $N$ are obtained as
Fourier moments of the vacuum expectation values at imaginary chemical
potential $\theta$. We treat the latter as densities which can be computed with
the recently developed FFA method. The second approach is based on a direct
grand canonical evaluation after rewriting the QCD partition sum in terms of a
suitable pseudo-fermion representation. In this form the imaginary part of the
pseudo-fermion action can be identified and the corresponding density may again
be computed with FFA. We develop the details of the two approaches and discuss
some exploratory first tests for the case of free fermions where reference
results for assessing the new techniques may be obtained from Fourier
transformation.
