diff --git a/artiq/gateware/dsp/sawg.py b/artiq/gateware/dsp/sawg.py
index 9fc064e74..5b432cd54 100644
--- a/artiq/gateware/dsp/sawg.py
+++ b/artiq/gateware/dsp/sawg.py
@@ -183,9 +183,9 @@ class Channel(Module, SatAddMixin):
             Cat(b.yi).eq(Cat(hbf[1].o)),
         ]
         self.sync += [
-            hbf[0].i.eq(self.sat_add(a1.xo[0], a2.xo[0],
+            hbf[0].i.eq(self.sat_add((a1.xo[0], a2.xo[0]),
                 limits=cfg.limits[1], clipped=cfg.clipped[1])),
-            hbf[1].i.eq(self.sat_add(a1.yo[0], a2.yo[0],
+            hbf[1].i.eq(self.sat_add((a1.yo[0], a2.yo[0]),
                 limits=cfg.limits[1], clipped=cfg.clipped[1])),
         ]
         # wire up outputs and q_{i,o} exchange
@@ -199,9 +199,8 @@ class Channel(Module, SatAddMixin):
                 o_y.eq(Mux(cfg.iq_en[1], y, 0)),
             ]
             self.sync += [
-                o.eq(self.sat_add(o_offset, o_x, o_y,
-                    limits=cfg.limits[0],
-                    clipped=cfg.clipped[0])),
+                o.eq(self.sat_add((o_offset, o_x, o_y),
+                    limits=cfg.limits[0], clipped=cfg.clipped[0])),
             ]
 
     def connect_y(self, buddy):
diff --git a/artiq/gateware/dsp/tools.py b/artiq/gateware/dsp/tools.py
index 504c245c5..a9142fa76 100644
--- a/artiq/gateware/dsp/tools.py
+++ b/artiq/gateware/dsp/tools.py
@@ -30,34 +30,39 @@ def eqh(a, b):
 
 class SatAddMixin:
     """Signed saturating addition mixin"""
-    def sat_add(self, *a, limits=None, clipped=None):
+    def sat_add(self, a, *, width=None, limits=None, clipped=None):
         a = list(a)
         # assert all(value_bits_sign(ai)[1] for ai in a)
-        length = max(len(ai) for ai in a)
+        if width is None:
+            width = max(value_bits_sign(ai)[0] for ai in a)
         carry = log2_int(len(a), need_pow2=False)
-        full = Signal((length + carry, True))
-        limited = Signal((length, True))
+        full = Signal((width + carry, True))
+        limited = Signal((width, True))
         clip = Signal(2)
+        sign = Signal()
         if clipped is not None:
             self.comb += clipped.eq(clip)
         self.comb += [
             full.eq(reduce(add, a)),
+            sign.eq(full[-1]),
+            limited.eq(full)
         ]
         if limits is None:
-            sign = Signal()
             self.comb += [
-                sign.eq(full[-1]),
-                If(full[-1-carry:] == Replicate(sign, carry + 1),
-                    clip.eq(0),
-                    limited.eq(full),
-                ).Else(
+                If(full[-1-carry:] != Replicate(sign, carry + 1),
                     clip.eq(Cat(sign, ~sign)),
-                    limited.eq(Cat(Replicate(~sign, length - 1), sign)),
+                    limited.eq(Cat(Replicate(~sign, width - 1), sign)),
                 )
             ]
         else:
             self.comb += [
-                clip.eq(Cat(full < limits[0], full > limits[1])),
-                limited.eq(Array([full, limits[0], limits[1], 0])[clip]),
+                If(full < limits[0],
+                    clip.eq(0b01),
+                    limited.eq(limits[0])
+                ),
+                If(full > limits[1],
+                    clip.eq(0b10),
+                    limited.eq(limits[1]),
+                )
             ]
         return limited