A prediction method is developed based on the acoustic analogy for the cross-power spectral density in the convecting near field of compressible fluid turbulence. Equivalent source near-field, midfield, and far-field terms within the model integrand create corresponding near-field, midfield, and far-field radiating waves. These equivalent sources are modeled with a single equation for the two-point cross correlation of the Lighthill stress tensor that is dependent on the jet operating conditions. An alternative equivalent source model based on steady Reynoldsaveraged Navier-Stokes solutions is proposed. The cross-power spectral density model automatically reduces to a traditional autopower spectral density model when observers are at the same location. Predictions of radiation intensity and coherence compare favorably with measurements in the near field, midfield, and far field for a wide range of jet Mach numbers and temperature ratios.fully expanded jet diameter e s = number of ensembles F t = far-field integrand terms f = frequency G = cross-power spectral density g = Green's function k = turbulent kinetic energy l si = turbulent length scale M = Mach number M c = convective Mach number coefficient M d = design Mach number M j = fully expanded Mach number M t = midfield integrand terms M ∞;i = component of the vector freestream Mach number N t = near-field integrand terms P f = prefactor Pr = Prandtl number Pr t = turbulent Prandtl number p = pressure R = magnitude of x R g = gas constant R ijlm = two-point cross correlation of T ij r = source vector S = spectral density S ij = source tensor S y = equivalent spatial source distribution St = Strouhal number T ij = Lighthill stress tensor T j = fully expanded temperature t = time u = velocity vector u j = fully expanded jet velocity x = observer spatial coordinate y = source spatial coordinate y c = core length α = constant length scale coefficient β s= ratio of specific heats δ = Dirac delta function δ ij = Kronecker delta function ϵ = dissipation of turbulent kinetic energy ηξ; η; ζ = vector within source region ρ = density σ = anisotropic dependence parameter σ f = anisotropic amplification exponent τ = retarded time τ s = turbulent time scale ϕ = azimuthal observer angle Ψ = inlet observer angle ω = radial frequency