Design method of high-order limited impulse response digital filter

Abstract

The invention relates to a method for designing a high-order finite impulse response digital filter, which comprises the following steps that: a neural network method is utilized and the amplitude-frequency response error sum of squares of a filter to be designed and an ideal filter serves as the calculation energy function of a neural network; the gradient descent learning algorithm is adopted to train the weight of the neural network to minimize the amplitude-frequency response error sum of squares of the filter to be designed and the ideal filter; when the neural network is stabilized, each parameter of the finite impulse response digital filter can be obtained and then the design of the finite impulse response digital filter is completed. The high-order finite impulse response digital filter designed by the method of the invention is characterized by small pass band fluctuation, large stop-band attenuation, controllable boundary frequency and high precision, etc., especially by that no matrix inversion algorithm is required to be carried out in the design, thus having fast operation speed, and the filter has broad application prospect in the engineering fields such as data transmission, high-precision televisions, radar and sonar systems and voice and image processing, etc.

Description

Design Method of High-Order Finite Impulse Response Digital Filter technical field The invention relates to a design method of a filter, in particular to a design method of a high-order finite impulse response digital filter. Background technique Finite impulse response digital filters have linear phase characteristics that are difficult to achieve with infinite impulse response digital filters, and have broad application prospects in engineering fields such as data transmission, high-precision television, radar and sonar systems, speech and image processing. The finite impulse response digital filter implemented by the window design method and the frequency sampling design method is not easy to accurately control the passband and stopband boundary frequencies in practical applications. Some design methods, such as the Remez exchange algorithm and the linear programming algorithm using the maximum error minimization criterion, need to calculate the inverse of a matrix, wh...

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Problems solved by technology

In order to solve the above-mentioned technical problems existing in the existing finite impulse response digita

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