It is known that the Karhunen-Loeve system can be applied to unsupervised clustering in an orthogonal system. And some results of computer-simulation are obtained with the method for unsupervised clustering by the K-L system. But, in the case of the practical patterns, the results are not so much given. So, first the principle of the method for unsupervised clustering by the K-L system are explained here. Secondly, English character, A and B are used as the practical examples and computer-simulation by the method described above is carried out.