diff --git a/tests/test_processing.py b/tests/test_processing.py
index 0f371660..2bfe7377 100644
--- a/tests/test_processing.py
+++ b/tests/test_processing.py
@@ -4,7 +4,7 @@
 from wfdb import processing
 
 
-class test_processing:
+class TestProcessing:
     """
     Test processing functions
     """
@@ -62,6 +62,13 @@ def test_find_peaks_empty(self):
         assert hp.shape == (0,)
         assert sp.shape == (0,)
 
+    def test_find_local_peaks(self):
+        # the sample `radius` positions to the right is part of the window
+        x = np.array([0, 1, 2, 3, 2, 1, 0], dtype=float)
+        assert np.array_equal(processing.find_local_peaks(x, 1), [3])
+        x = np.array([0, 1, 3, 2, 10, 5, 1, 0], dtype=float)
+        assert np.array_equal(processing.find_local_peaks(x, 2), [4])
+
     def test_gqrs(self):
         record = wfdb.rdrecord(
             "sample-data/100",
@@ -178,7 +185,7 @@ def test_correct_peaks(self):
         assert np.array_equal(yz, expected_peaks)
 
 
-class test_qrs:
+class TestQrs:
     """
     Testing QRS detectors
     """
diff --git a/wfdb/processing/peaks.py b/wfdb/processing/peaks.py
index 47d7ce48..75a05327 100644
--- a/wfdb/processing/peaks.py
+++ b/wfdb/processing/peaks.py
@@ -82,22 +82,8 @@ def find_local_peaks(sig, radius):
     peak_inds = []
 
     i = 0
-    while i < radius + 1:
-        if sig[i] == max(sig[: i + radius]):
-            peak_inds.append(i)
-            i += radius
-        else:
-            i += 1
-
-    while i < len(sig):
-        if sig[i] == max(sig[i - radius : i + radius]):
-            peak_inds.append(i)
-            i += radius
-        else:
-            i += 1
-
     while i < len(sig):
-        if sig[i] == max(sig[i - radius :]):
+        if sig[i] == max(sig[max(0, i - radius) : i + radius + 1]):
             peak_inds.append(i)
             i += radius
         else: