diff --git a/nitime/analysis/spectral.py b/nitime/analysis/spectral.py
index 058be7fd..36b4bd4d 100644
--- a/nitime/analysis/spectral.py
+++ b/nitime/analysis/spectral.py
@@ -94,23 +94,26 @@ def psd(self):
         else:
             psd_len = NFFT / 2.0 + 1
             dt = float
-        psd = np.empty((self.input.shape[0],
-                       psd_len), dtype=dt)
-
+        
         #If multi-channel data:
         if len(self.input.data.shape) > 1:
-            for i in xrange(self.input.data.shape[0]):
+            psd_shape = (self.input.shape[:-1] + (psd_len,))
+            flat_data = np.reshape(self.input.data, (-1,
+                                                     self.input.data.shape[-1]))
+            flat_psd = np.empty((flat_data.shape[0], psd_len), dtype=dt)
+            for i in xrange(flat_data.shape[0]):
                 #'f' are the center frequencies of the frequency bands
                 #represented in the psd. These are identical in each iteration
                 #of the loop, so they get reassigned into the same variable in
                 #each iteration:
-                temp, f = tsa.mlab.psd(self.input.data[i],
+                temp, f = tsa.mlab.psd(flat_data[i],
                             NFFT=NFFT,
                             Fs=Fs,
                             detrend=detrend,
                             window=window,
                             noverlap=n_overlap)
-                psd[i] = temp.squeeze()
+                flat_psd[i] = temp.squeeze()
+            psd = np.reshape(flat_psd, psd_shape).squeeze()
 
         else:
             psd, f = tsa.mlab.psd(self.input.data,
@@ -187,9 +190,16 @@ def spectrum_multi_taper(self):
         :func:`multi_taper_csd'
 
         """
+        if np.iscomplexobj(self.input.data):
+            psd_len = self.input.shape[-1] 
+            dt = complex
+        else:
+            psd_len = self.input.shape[-1] / 2 + 1
+            dt = float
+
         #Initialize the output
-        spectrum_multi_taper = np.empty((self.input.shape[0],
-                                         self.input.shape[-1] / 2 + 1))
+        spectrum_multi_taper = np.empty((self.input.shape[:-1] + (psd_len,)),
+                                        dtype=dt)
 
         #If multi-channel data:
         if len(self.input.data.shape) > 1:
@@ -304,7 +314,7 @@ def filtfilt(self, b, a, in_ts=None):
         #filtfilt only operates channel-by-channel, so we need to loop over the
         #channels, if the data is multi-channel data:
         if len(data.shape) > 1:
-            out_data = np.empty(data.shape)
+            out_data = np.empty(data.shape, dtype=data.dtype)
             for i in xrange(data.shape[0]):
                 out_data[i] = signal.filtfilt(b, a, data[i])
                 #Make sure to preserve the DC: