In the design of 3-D spherically symmetric FIR filters via the McClellan transformation, two methods are proposed to determine the transformation parameters. The first is to improve the original 3-D algorithm by explo...In the design of 3-D spherically symmetric FIR filters via the McClellan transformation, two methods are proposed to determine the transformation parameters. The first is to improve the original 3-D algorithm by exploiting the 2-D effective methods in 3-D. This method can change the constrained optimization algorithm into the unconstrained one and makes the design easier to realize. The second method is to solve the coupled equations under constrained conditions and a set of ideal parameters can be gotten. The design example shows that the two methods are all efficient and easier than the original algorithm.展开更多
All efficient method of N-D FIR digital filter designs and implementation is presented in the peper.The most interesting aspects of the work in the paper are divided into three parts:First,an efficient transformation...All efficient method of N-D FIR digital filter designs and implementation is presented in the peper.The most interesting aspects of the work in the paper are divided into three parts:First,an efficient transformation functions which have good properties are proposed.Second,the essential properties for spherically or hyperspherically symmetric filters are given.Finally,the most efficient implementatiou which exploits the structure inherent in the design is discussed.展开更多
文摘In the design of 3-D spherically symmetric FIR filters via the McClellan transformation, two methods are proposed to determine the transformation parameters. The first is to improve the original 3-D algorithm by exploiting the 2-D effective methods in 3-D. This method can change the constrained optimization algorithm into the unconstrained one and makes the design easier to realize. The second method is to solve the coupled equations under constrained conditions and a set of ideal parameters can be gotten. The design example shows that the two methods are all efficient and easier than the original algorithm.
文摘All efficient method of N-D FIR digital filter designs and implementation is presented in the peper.The most interesting aspects of the work in the paper are divided into three parts:First,an efficient transformation functions which have good properties are proposed.Second,the essential properties for spherically or hyperspherically symmetric filters are given.Finally,the most efficient implementatiou which exploits the structure inherent in the design is discussed.