Github user jkbradley commented on a diff in the pull request:

    https://github.com/apache/spark/pull/8184#discussion_r37337185
  
    --- Diff: docs/ml-features.md ---
    @@ -649,6 +649,80 @@ for expanded in polyDF.select("polyFeatures").take(3):
     </div>
     </div>
     
    +## Discrete Cosine Transform (DCT)
    +
    +The [Discrete Cosine
    +Transform](https://en.wikipedia.org/wiki/Discrete_cosine_transform)
    +transforms a length $N$ real-valued sequence in the time domain into
    +another length $N$ real-valued sequence in the frequency domain. A
    +[DCT](api/scala/index.html#org.apache.spark.ml.feature.DCT) class
    +provides this functionality, implementing the
    +[DCT-II](https://en.wikipedia.org/wiki/Discrete_cosine_transform#DCT-II)
    +and scaling the result by $1/\sqrt{2}$ such that the representing matrix
    +for the transform is unitary. No shift is applied to the transformed
    +sequence (e.g. the $0$th element of the transformed sequence is the
    +$0$th DCT coefficient and _not_ the $N/2$th).
    +
    +<div class="codetabs">
    +<div data-lang="scala" markdown="1">
    +{% highlight scala %}
    +import org.apache.spark.ml.feature.DCT
    +import org.apache.spark.mllib.linalg.Vectors
    +
    +val data = Seq(
    +  Vectors.dense(0.0, 1.0, -2.0, 3.0),
    +  Vectors.dense(-1.0, 2.0, 4.0, -7.0),
    +  Vectors.dense(14.0, -2.0, -5.0, 1.0))
    +val df = 
sqlContext.createDataFrame(data.map(Tuple1.apply)).toDF("features")
    +val dct = new DCT()
    +  .setInputCol("features")
    +  .setOutputCol("featuresDCT")
    +  .setInverse(false)
    +val dctDf = dct.transform(df)
    +dctDf.select("featuresDCT").take(3).foreach(println)
    +{% endhighlight %}
    +</div>
    +
    +<div data-lang="java" markdown="1">
    +{% highlight java %}
    +import java.util.Arrays;
    +
    +import org.apache.spark.api.java.JavaRDD;
    +import org.apache.spark.api.java.JavaSparkContext;
    +import org.apache.spark.ml.feature.DCT;
    +import org.apache.spark.mllib.linalg.Vector;
    +import org.apache.spark.mllib.linalg.VectorUDT;
    +import org.apache.spark.mllib.linalg.Vectors;
    +import org.apache.spark.sql.DataFrame;
    +import org.apache.spark.sql.Row;
    +import org.apache.spark.sql.RowFactory;
    +import org.apache.spark.sql.SQLContext;
    +import org.apache.spark.sql.types.Metadata;
    +import org.apache.spark.sql.types.StructField;
    +import org.apache.spark.sql.types.StructType;
    +
    +JavaRDD<Row> data = jsc.parallelize(Arrays.asList(
    +      RowFactory.create(Vectors.dense(0.0, 1.0, -2.0, 3.0)),
    --- End diff --
    
    2 space indentation


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