diff --git a/lib/nx_signal/filters.ex b/lib/nx_signal/filters.ex
index 23a435e..79591fe 100644
--- a/lib/nx_signal/filters.ex
+++ b/lib/nx_signal/filters.ex
@@ -5,7 +5,7 @@ defmodule NxSignal.Filters do
   import Nx.Defn
 
   @doc ~S"""
-  Performs a median filter on a rank 1 or rank 2 tensor.
+  Performs a median filter on a tensor.
 
   ## Options
 
@@ -13,32 +13,16 @@ defmodule NxSignal.Filters do
     It must be compatible with the shape of the tensor.
   """
   @doc type: :filters
-  deftransform median(t = %Nx.Tensor{shape: {length}}, opts) do
+  defn median(t, opts) do
     validate_median_opts!(t, opts)
-    {kernel_length} = opts[:kernel_shape]
-
-    median(Nx.reshape(t, {1, length}), kernel_shape: {1, kernel_length})
-    |> Nx.squeeze()
-  end
-
-  deftransform median(t = %Nx.Tensor{shape: {_h, _w}}, opts) do
-    validate_median_opts!(t, opts)
-    median_n(t, opts)
-  end
-
-  deftransform median(_t, _opts),
-    do: raise(ArgumentError, message: "tensor must be of rank 1 or 2")
-
-  defn median_n(t, opts) do
-    {k0, k1} = opts[:kernel_shape]
 
     idx =
-      Nx.stack([Nx.iota(t.shape, axis: 0), Nx.iota(t.shape, axis: 1)], axis: -1)
-      |> Nx.reshape({:auto, 2})
+      t
+      |> idx_tensor()
       |> Nx.vectorize(:elements)
 
     t
-    |> Nx.slice([idx[0], idx[1]], [k0, k1])
+    |> Nx.slice(start_indices(t, idx), kernel_lengths(opts[:kernel_shape]))
     |> Nx.median()
     |> Nx.devectorize(keep_names: false)
     |> Nx.reshape(t.shape)
@@ -52,4 +36,20 @@ defmodule NxSignal.Filters do
       raise ArgumentError, message: "kernel shape must be of the same rank as the tensor"
     end
   end
+
+  deftransformp idx_tensor(t) do
+    t
+    |> Nx.axes()
+    |> Enum.map(&Nx.iota(t.shape, axis: &1))
+    |> Nx.stack(axis: -1)
+    |> Nx.reshape({:auto, length(Nx.axes(t))})
+  end
+
+  deftransformp start_indices(t, idx_tensor) do
+    t
+    |> Nx.axes()
+    |> Enum.map(&idx_tensor[&1])
+  end
+
+  deftransformp kernel_lengths(kernel_shape), do: Tuple.to_list(kernel_shape)
 end
diff --git a/test/nx_signal/filters_test.exs b/test/nx_signal/filters_test.exs
index 122f83f..a439305 100644
--- a/test/nx_signal/filters_test.exs
+++ b/test/nx_signal/filters_test.exs
@@ -31,6 +31,71 @@ defmodule NxSignal.FiltersTest do
       assert NxSignal.Filters.median(t, opts) == expected
     end
 
+    test "performs n-dim median filter" do
+      t =
+        Nx.tensor([
+          [
+            [31, 11, 17, 13, 1],
+            [1, 3, 19, 23, 29],
+            [19, 5, 7, 37, 2]
+          ],
+          [
+            [19, 5, 7, 37, 2],
+            [1, 3, 19, 23, 29],
+            [31, 11, 17, 13, 1]
+          ],
+          [
+            [1, 3, 19, 23, 29],
+            [31, 11, 17, 13, 1],
+            [19, 5, 7, 37, 2]
+          ]
+        ])
+
+      k1 = {3, 3, 1}
+      k2 = {3, 3, 3}
+
+      expected1 =
+        Nx.tensor([
+          [
+            [19.0, 5.0, 17.0, 23.0, 2.0],
+            [19.0, 5.0, 17.0, 23.0, 2.0],
+            [19.0, 5.0, 17.0, 23.0, 2.0]
+          ],
+          [
+            [19.0, 5.0, 17.0, 23.0, 2.0],
+            [19.0, 5.0, 17.0, 23.0, 2.0],
+            [19.0, 5.0, 17.0, 23.0, 2.0]
+          ],
+          [
+            [19.0, 5.0, 17.0, 23.0, 2.0],
+            [19.0, 5.0, 17.0, 23.0, 2.0],
+            [19.0, 5.0, 17.0, 23.0, 2.0]
+          ]
+        ])
+
+      expected2 =
+        Nx.tensor([
+          [
+            [11.0, 13.0, 17.0, 17.0, 17.0],
+            [11.0, 13.0, 17.0, 17.0, 17.0],
+            [11.0, 13.0, 17.0, 17.0, 17.0]
+          ],
+          [
+            [11.0, 13.0, 17.0, 17.0, 17.0],
+            [11.0, 13.0, 17.0, 17.0, 17.0],
+            [11.0, 13.0, 17.0, 17.0, 17.0]
+          ],
+          [
+            [11.0, 13.0, 17.0, 17.0, 17.0],
+            [11.0, 13.0, 17.0, 17.0, 17.0],
+            [11.0, 13.0, 17.0, 17.0, 17.0]
+          ]
+        ])
+
+      assert NxSignal.Filters.median(t, kernel_shape: k1) == expected1
+      assert NxSignal.Filters.median(t, kernel_shape: k2) == expected2
+    end
+
     test "raises if kernel_shape is not compatible" do
       t1 = Nx.iota({10})
       opts1 = [kernel_shape: {5, 5}]
@@ -50,25 +115,5 @@ defmodule NxSignal.FiltersTest do
         fn -> NxSignal.Filters.median(t2, opts2) end
       )
     end
-
-    test "raises if tensor rank is not 1 or 2" do
-      t1 = Nx.tensor(1)
-      opts1 = [kernel_shape: {1}]
-
-      assert_raise(
-        ArgumentError,
-        "tensor must be of rank 1 or 2",
-        fn -> NxSignal.Filters.median(t1, opts1) end
-      )
-
-      t2 = Nx.iota({5, 5, 5})
-      opts2 = [kernel_shape: {3, 3, 3}]
-
-      assert_raise(
-        ArgumentError,
-        "tensor must be of rank 1 or 2",
-        fn -> NxSignal.Filters.median(t2, opts2) end
-      )
-    end
   end
 end