Matlab Bode Plots: 1st Order High Pass & 2nd Order Band Reject

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SUMMARY

The discussion focuses on creating Bode plots in Matlab for a first-order high-pass filter and a second-order band-reject filter. The first-order filter has a gain at infinity of 2 and a cutoff frequency of 1 kHz, while the second-order filter features a center frequency of 5000 Hz, a bandwidth of 500 Hz, and a DC gain of 1. Participants express uncertainty about relating gain to transfer functions and the necessary values for calculations, suggesting that standard form representation of transfer functions may clarify the process.

PREREQUISITES
  • Understanding of transfer functions in control systems
  • Familiarity with Matlab for signal processing
  • Knowledge of Bode plot characteristics and analysis
  • Basic concepts of filter design, specifically high-pass and band-reject filters
NEXT STEPS
  • Research how to derive transfer functions for first-order and second-order filters
  • Learn how to implement Bode plots in Matlab using the 'bode' function
  • Explore the relationship between gain and transfer functions in filter design
  • Study the effects of bandwidth and center frequency on filter performance
USEFUL FOR

Electrical engineers, control system designers, and students studying signal processing who are interested in filter design and analysis using Matlab.

burns12
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Homework Statement


In Matlab create bode plots for a first-order high-pass filter (with G at infinity = 2 and fc= 1 kHz) in series with a second order band-reject filter (with f0= 5000 Hz, B = 500 Hz, and GDC= G at infinity = 1 ).


Homework Equations



High pass TF = -jwCiRf/1+jwCiRi
Band pass TF = -Rf/Ri(-1/1+jwC1R - jwC2R/1+jwC2R) I think, not sure if this is for 2nd order

The Attempt at a Solution



I have no idea how to relate the G to the TF's. I'm not sure what values I even need to do this.
 
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I think that if you put your T(s) in standard form, you will easily see how to do this.

What book are you using?
 

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