离散正交变换理论实例教学法的探索与实践

Exploration and practice of the example teaching method of the discrete orthogonal transformation theory

为了生动地讲解枯燥的正交变换公式,探讨了离散正交变换理论实例教学的重要性和具体实施方法.在教学环节中设计了2个典型的离散哈尔变换教学实例.在启发学生绘制一维哈尔变换的快速算法流程图基础上,完成二维哈尔变换的计算问题,能够让学生理解离散正交变换计算的关键所在,有助于帮助学生深入地理解正交变换理论.实践证明,离散正交变换理论的实例教学效果良好.

In order to vividly explain the boring orthogonal transformation formulas, discusses the importance and concrete implementation methods of the example teaching about the discrete orthogonal transformation theory. The two typical teaching examples of discrete Haar transformation are designed in the teaching process. On the basis of inspiring the students to draw the flow chart of fast algorithm of the one-dimensional Haar transformation, the students respectively complete the calculation of the two-dimensional Haar transformation. It can make the students understand the key to the discrete orthogonal transform computation, helps the students understand the theory of the orthogonal transformation deeply. The practice has proved that the good teaching effects are obtained by the teaching method.