The discrete sine transform (DST) expresses a finite real sequence using sampled sine functions. One common form, the type-I
DST, is
where , ..., . With this normalization, the
transformation is an orthogonal transformation
and is its own inverse. Different boundary conventions give several other DST types.
The discrete sine transform is the odd-extension counterpart of the discrete
cosine transform.
, ..., 
. With this normalization, the
transformation is an orthogonal transformation
and is its own inverse. Different boundary conventions give several other DST types.
The discrete sine transform is the odd-extension counterpart of the discrete
cosine transform.
