diff --git a/DIRECTORY.md b/DIRECTORY.md
index d0de70715bbc..8d66f77d1ea9 100644
--- a/DIRECTORY.md
+++ b/DIRECTORY.md
@@ -938,6 +938,7 @@
             * [CeilTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/CeilTest.java)
             * [CollatzConjectureTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/CollatzConjectureTest.java)
             * [CombinationsTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/CombinationsTest.java)
+            * [ConvolutionFFTTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/ConvolutionFFTTest.java)
             * [ConvolutionTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/ConvolutionTest.java)
             * [CrossCorrelationTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/CrossCorrelationTest.java)
             * [DeterminantOfMatrixTest](https://github.com/TheAlgorithms/Java/blob/master/src/test/java/com/thealgorithms/maths/DeterminantOfMatrixTest.java)
diff --git a/src/main/java/com/thealgorithms/maths/FFT.java b/src/main/java/com/thealgorithms/maths/FFT.java
index 47605f010b22..91754bd1a80b 100644
--- a/src/main/java/com/thealgorithms/maths/FFT.java
+++ b/src/main/java/com/thealgorithms/maths/FFT.java
@@ -165,6 +165,14 @@ public Complex divide(double n) {
             temp.img = this.img / n;
             return temp;
         }
+
+        public double real() {
+            return real;
+        }
+
+        public double imaginary() {
+            return img;
+        }
     }
 
     /**
diff --git a/src/test/java/com/thealgorithms/maths/ConvolutionFFTTest.java b/src/test/java/com/thealgorithms/maths/ConvolutionFFTTest.java
new file mode 100644
index 000000000000..4d627f939d42
--- /dev/null
+++ b/src/test/java/com/thealgorithms/maths/ConvolutionFFTTest.java
@@ -0,0 +1,55 @@
+package com.thealgorithms.maths;
+
+import static org.junit.jupiter.api.Assertions.assertEquals;
+
+import java.util.ArrayList;
+import java.util.List;
+import java.util.stream.Stream;
+import org.junit.jupiter.params.ParameterizedTest;
+import org.junit.jupiter.params.provider.Arguments;
+import org.junit.jupiter.params.provider.MethodSource;
+
+public class ConvolutionFFTTest {
+
+    /**
+     * Helper method to create a complex signal from an array of doubles.
+     */
+    private ArrayList<FFT.Complex> createComplexSignal(double[] values) {
+        ArrayList<FFT.Complex> signal = new ArrayList<>();
+        for (double value : values) {
+            signal.add(new FFT.Complex(value, 0));
+        }
+        return signal;
+    }
+
+    /**
+     * Helper method to compare two complex signals for equality within a small margin of error.
+     */
+    private void assertComplexArrayEquals(List<FFT.Complex> expected, List<FFT.Complex> result, double delta) {
+        assertEquals(expected.size(), result.size(), "Signal lengths are not equal.");
+        for (int i = 0; i < expected.size(); i++) {
+            FFT.Complex expectedValue = expected.get(i);
+            FFT.Complex resultValue = result.get(i);
+            assertEquals(expectedValue.real(), resultValue.real(), delta, "Real part mismatch at index " + i);
+            assertEquals(expectedValue.imaginary(), resultValue.imaginary(), delta, "Imaginary part mismatch at index " + i);
+        }
+    }
+
+    @ParameterizedTest(name = "Test case {index}: {3}")
+    @MethodSource("provideTestCases")
+    public void testConvolutionFFT(double[] a, double[] b, double[] expectedOutput, String testDescription) {
+        ArrayList<FFT.Complex> signalA = createComplexSignal(a);
+        ArrayList<FFT.Complex> signalB = createComplexSignal(b);
+
+        ArrayList<FFT.Complex> expected = createComplexSignal(expectedOutput);
+        ArrayList<FFT.Complex> result = ConvolutionFFT.convolutionFFT(signalA, signalB);
+
+        assertComplexArrayEquals(expected, result, 1e-9); // Allow small margin of error
+    }
+
+    private static Stream<Arguments> provideTestCases() {
+        return Stream.of(Arguments.of(new double[] {1, 2, 3}, new double[] {4, 5, 6}, new double[] {4, 13, 28, 27, 18}, "Basic test"), Arguments.of(new double[] {0, 0, 0}, new double[] {1, 2, 3}, new double[] {0, 0, 0, 0, 0}, "Test with zero elements"),
+            Arguments.of(new double[] {1, 2}, new double[] {3, 4, 5}, new double[] {3, 10, 13, 10}, "Test with different sizes"), Arguments.of(new double[] {5}, new double[] {2}, new double[] {10}, "Test with single element"),
+            Arguments.of(new double[] {1, -2, 3}, new double[] {-1, 2, -3}, new double[] {-1, 4, -10, 12, -9}, "Test with negative values"));
+    }
+}