diff --git a/suspect/basis/__init__.py b/suspect/basis/__init__.py
index <HASH>..<HASH> 100644
--- a/suspect/basis/__init__.py
+++ b/suspect/basis/__init__.py
@@ -2,7 +2,7 @@ import numpy
 
 
 def gaussian(time_axis, frequency, phase, fwhm):
-    oscillatory_term = numpy.exp(2j * numpy.pi * (frequency * time_axis + phase))
+    oscillatory_term = numpy.exp(2j * numpy.pi * (frequency * time_axis) + 1j * phase)
     damping = numpy.exp(-time_axis ** 2 / 4 * numpy.pi ** 2 / numpy.log(2) * fwhm ** 2)
     fid = oscillatory_term * damping
     fid[0] /= 2.0
adjust Gaussian generation to take phase in radians