Transfer function equivalence method of CIC filter bank

A filter bank and transfer function technology, applied in the effective field, can solve the problems of large computational load, inconvenient fast simulation and verification of closed-loop control system, etc., and achieve the effect of easy calculation, easy direct programming and curve drawing, and simple amplitude-frequency calculation.

Active Publication Date: 2020-09-08
BEIJING INST OF CONTROL ENG
View PDF6 Cites 0 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

Therefore, there is a large amount of computation to directly perform simulation in the control system, which brings inconvenience to the rapid simulation verification of the closed-loop control system

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Transfer function equivalence method of CIC filter bank
  • Transfer function equivalence method of CIC filter bank
  • Transfer function equivalence method of CIC filter bank

Examples

Experimental program
Comparison scheme
Effect test

Embodiment approach 1

[0048] A transfer function equivalent method of a CIC filter bank, in which each CIC filter cascade number is the same in the CIC filter bank, comprising the steps:

[0049] S1. Determine the equivalent accuracy threshold for the CIC filter. If the equivalent accuracy is required to be higher than the accuracy threshold, transfer to S2, otherwise transfer to S3;

[0050] S2. Use one or more second-order links in series to transfer a delay link transfer function, or, one or more first-order links in series and then a delay link transfer function in series, or, a combination of first-order links and second-order links in series to a delay link The transfer function is equivalent to the amplitude-frequency curve and phase-frequency curve of the CIC filter bank in the frequency band below the first zero frequency;

[0051] S3. According to the slope of the double logarithmic amplitude-frequency curve envelope of the CIC filter bank, one or more second-order oscillation links are c...

Embodiment

[0061] Based on Embodiment 1 and or Embodiment 2, a transfer function equivalent method of a CIC filter bank, such as figure 1 shown, including the following steps:

[0062] (1) The impulse transfer function of the CIC filter bank. The CIC filter pulse transfer function H(z) is generally written as:

[0063]

[0064] In the formula, R is called the downsampling multiple or frequency conversion factor, which is generally a positive integer greater than 1; D is called the differential delay, and generally takes the value of 1 or 2; N is called the cascade number; z is the self of the pulse transfer function variable:

[0065]

[0066] Where e is a natural constant, s is the independent variable of the continuous transfer function, T is the sampling period, i is the imaginary unit, and ω is the circular frequency variable. These symbols are subsequently subscripted to distinguish each specific CIC filter in the CIC filter bank.

[0067] Here, the filter system composed ...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

PUM

No PUM Login to view more

Abstract

The invention discloses amplitude-frequency and phase-frequency response expressions of a common CIC filter bank, and discloses two methods for carrying out rational polynomial transfer function equivalence on the frequency response characteristics of the common CIC filter bank, so that the frequency domain design of a drag-free controller and the rapid simulation of a closed-loop control system are successfully realized. A low-frequency high-precision equivalent method can achieve very high equivalent precision in a low frequency band, but a high-frequency upwarp phenomenon exists. The upwarpcan be inhibited by introducing high-resistance filtering, so that the analysis and design of a control system can be normally carried out. An equivalent result of a high-frequency amplitude-frequency envelope equivalence method is generally simple, and great convenience is brought to analysis, design and rapid simulation of the control system; and a certain error only exists in a low-frequency-band local part. The method belongs to the technical field of control technology and signal processing based on a CIC filter bank.

Description

technical field [0001] The invention relates to a transfer function equivalent method of a CIC filter bank, in particular to a method for performing a rational polynomial transfer function equivalent on a CIC filter bank, and belongs to the field of CIC filter bank-based control technology and signal processing technology . Background technique [0002] The full English name of the CIC filter is Cascaded integrator-comb filter, and the complete Chinese translation is called "cascaded integral-comb filter". It is a very effective unit in high-speed extraction or interpolation. It was first proposed by American scientist Eugene Hogenauer in 1981. Currently It has been applied in the fields of software radio, digital signal processing and satellite control. [0003] Although the CIC filter can be realized only by using addition and subtraction operations, its frequency response characteristics are quite complicated. At present, there are many literatures at home and abroad in...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

Application Information

Patent Timeline
no application Login to view more
Patent Type & Authority Applications(China)
IPC IPC(8): H03H17/02
CPCH03H17/02Y02E40/40
Inventor 苟兴宇王丽娇李明群王绍凯蒋庆华李鹤李声涛
Owner BEIJING INST OF CONTROL ENG
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Try Eureka
PatSnap group products

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic.

© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap