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Method for designing digital filter

A technology of digital filter and design method, applied in the field of communication, can solve the problem of difficult to achieve asymmetric frequency response, multi-band frequency response, etc., and achieve the effects of easy application, frequency response control, and flexible frequency response

Inactive Publication Date: 2014-07-30
唐萍
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Problems solved by technology

[0006] The purpose of the present invention is to overcome the deficiencies and defects existing in the prior art, solve the problems existing in the existing IIR digital filter design method, that is, it is difficult to realize the shortcomings such as asymmetric frequency response and multi-band frequency response, and propose a A Digital Filter Design Method

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  • Method for designing digital filter
  • Method for designing digital filter

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Embodiment Construction

[0021] The present invention will be further described below in conjunction with drawings and embodiments.

[0022] Assuming that the digital angular frequency is represented by ω, the digital filter to be designed has M frequency bands (M is a natural number greater than or equal to 1; when M is equal to 1, it is a single frequency band; when M is greater than 1, it is a multi-frequency band), These M frequency bands are respectively located in [ω d,k ,ω u,k ], where k=1,...,M, ω u,i and ω d,i are the upper boundary angular frequency and the lower boundary angular frequency of the kth frequency band respectively; the digital filter to be designed has N transmission zeros, where N p transmission zeros at zero frequency, N m transmission zeros at finite frequencies, N L transmission zeros are located at frequency π, the total number of which is N=N p +N m +NL, these transmission zeros can be pure imaginary numbers, pure real numbers or even complex numbers, use p 0k (wh...

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Abstract

The invention discloses a method for designing a digital filter. The method specifically comprises the steps that the index of the digital filter to be designed is converted into the index of a corresponding analog filter; the analog filter is integrated directly in a corresponding frequency domain according to the index of the corresponding analog filter, so that a system function of the analog filter is obtained; the obtained system function of the analog filter is converted into the system function of the digital filter to be designed. By the aid of the method for designing the digital filter, asymmetrical frequency response of single-frequency bands or multi-frequency bands can be achieved, the order of the filter cannot be changed, the frequency response of the filter can be adjusted flexibly by changing the position of a transmission zero, and thus the filter can meet actual requirements. The bend width of each frequency band can be accurately controlled, and fluctuation in each band is constant.

Description

technical field [0001] The invention belongs to the technical field of communication and relates to a digital filter design method, in particular to a digital infinite-length impulse response filter design method with generalized Chebyshev characteristics. Background technique [0002] Digital signal processing has been widely used in many fields such as communication, voice, image, automatic control, radar, military, aerospace, medical treatment and household appliances. A digital filter is a discrete-time system that filters digital signals to obtain desired response characteristics. It is mainly used to transform, enhance, filter, estimate and identify signals, and is an important link in the process of information acquisition, processing and utilization. Structurally, digital filters can be divided into two categories: finite impulse response (FIR) digital filters and infinite impulse response (IIR) digital filters. Since the pole of the system function of the FIR filt...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): H03H17/00
Inventor 唐萍肖飞
Owner 唐萍
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