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A new approach for the design of twodimensional (2D) linear phase FIR digital filters based on a new neural networks algorithm (NNA) is provided. A compact expression for the transfer function of a 2D linear phase FIR filter is derived based on its frequency response characteristic, and the NNA, based on minimizing the squareerror in the frequencydomain, is established according to the compact expression. To illustrate the stability of the NNA, the convergence theorem is presented and proved. Design examples are also given, and the results show that the ripple is considerably small in passband and stopband, and the NNAbased method is of powerful stability and requires quite little amount of computations.
A new approach for the design of twodimensional (2D) linear phase FIR digital filters based on a new neural networks algorithm (NNA) is provided. A compact expression for the transfer function of a 2D linear phase FIR filter is derived based on its frequency response characteristic, and the NNA, based on minimizing the square error in the frequency domain, is established according to the compact expression. To illustrate the stability of the NNA, the convergence theorem is presented and proved. Design examples are also given, and the results show that the ripple is considerably small in passband and stopband, and the NNAbased method is of powerful stability and requires quite little amount of computations.