In this paper dyadic linear prediction and dyadic linear filtering on a dyadic generalized stationary random process are dealt with via the Walsh transform. Taking the minimum of the mean-square errorof the dyadic sys...In this paper dyadic linear prediction and dyadic linear filtering on a dyadic generalized stationary random process are dealt with via the Walsh transform. Taking the minimum of the mean-square errorof the dyadic system as the index of the working precision of the system, we consider and analyze theoptimal dyadic linear system, dyadic linear prediction and dyadic linear filtering. Finally, we study the precision of the optimal dyadic linear system.展开更多
文摘In this paper dyadic linear prediction and dyadic linear filtering on a dyadic generalized stationary random process are dealt with via the Walsh transform. Taking the minimum of the mean-square errorof the dyadic system as the index of the working precision of the system, we consider and analyze theoptimal dyadic linear system, dyadic linear prediction and dyadic linear filtering. Finally, we study the precision of the optimal dyadic linear system.