2004 年 40 巻 12 号 p. 1193-1198
A calculation algorithm of quaternion spectral coefficients is described in this paper. Conforming to the definition, a normal arithmetic operation to find the quaternion spectral coefficients takes O (N2) multiplication when the data window size is N. Comparing with this, suggested algorithm can decrease the number of multiplication to O (2N). The algorithm makes use of the property of delay operation. Since the configuration to be required is simple, it may be suit for a real time operating system with the micro-controllers.