diff --git a/src/numpy_pandas/signal_processing.py b/src/numpy_pandas/signal_processing.py
index 0fe8e2c..1992d6d 100644
--- a/src/numpy_pandas/signal_processing.py
+++ b/src/numpy_pandas/signal_processing.py
@@ -5,10 +5,10 @@ def manual_convolution_1d(signal: np.ndarray, kernel: np.ndarray) -> np.ndarray:
     signal_len = len(signal)
     kernel_len = len(kernel)
     result_len = signal_len - kernel_len + 1
-    result = np.zeros(result_len)
+    result = np.empty(result_len)
+    # Vectorized implementation for better speed and memory efficiency
     for i in range(result_len):
-        for j in range(kernel_len):
-            result[i] += signal[i + j] * kernel[j]
+        result[i] = np.dot(signal[i : i + kernel_len], kernel)
     return result