1 / 21

Analog Signal Processing

Analog Signal Processing. Filter Examples Design 1-pole LP to reduce specific signal Design 1 st Order HP to reduce 60 Hz noise 2 nd Order LP and loading 4 th Order Butterworth Intro to Opamps Characteristics Specifications Basic circuits. Derivation: Review. Final Result remember

jerod
Download Presentation

Analog Signal Processing

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Analog Signal Processing Filter Examples Design 1-pole LP to reduce specific signal Design 1st Order HP to reduce 60 Hz noise 2nd Order LP and loading 4th Order Butterworth Intro to Opamps Characteristics Specifications Basic circuits

  2. Derivation: Review Final Result remember square root of sum of squares Remember that the cutoff frequency of a 1st order RC filter is:

  3. Design a 1-pole LPF to reduce the undesired 50KHz signal by 32 dB in voltage. Also, find the cutoff frequency of the filter And solving for Vout/Vin yields .025119 Remember that: Now, solving the top equation for fc you get fc = 1256 Hz

  4. Design a 1-pole LPF to reduce the undesired 50KHz signal by 32 dB in voltage. Also, find the cutoff frequency of the filter Since Choose a convenient value for the capacitance, say .01 uF, then solve for the required resistance. Thus, R = 12.67 kΩ

  5. Freq. Response dB

  6. Design a 1st order HP filter to reduce 60 Hz noise by 20 dB in Power

  7. Design a 1st order HP filter to reduce 60 Hz noise by 20 dB in Power fc = 180 Hz If you choose C = 1 uF then R=884 Ω

  8. Frequency Response dB

  9. 2nd Order LP Filter Figure 1: For a 1st order LP filter fc = 1256 Hz Figure 2: For a 1st order LP filter fc = 1256 Hz Ideal

  10. Transfer Functions To calculate the transfer function you need to find Vout/Vin which is quite difficult with complex numbers. This transfer function is just the transfer function of one filter squared. At f = 1256 this equation equals ½. 20Log10(.5)=-6dB

  11. 2nd Order Filter Response dB

  12. Passive Butterworth filtershttp://members.aol.com/maxfro/private/butter.html

  13. 4th order passive filter

  14. 4th Order Butterworth-50 ohm

  15. Frequency Response

  16. OpAmps http://socrates.berkeley.edu/~phylabs/bsc/PDFFiles/bsc7.pdf

  17. http://www.national.com/pf/LM/LM741.html Op Amp specifications

  18. Basic Op Amp Circuits:Inverting op amp http://www.es.oersted.dtu.dk/~c49102/Circuit03.html

  19. Basic Opamp Circuits:Voltage Follower (non-inverting) http://www.es.oersted.dtu.dk/~c49102/javalab.html#examples

  20. More opamp circuits VLoad=-5V1-2V2-V3 VLoad=(1+Rf/R1)*Vin VLoad=(R2/R1)*(V2-V1)

  21. Summary • Filter Examples • Design 1-pole LP to reduce specific signal • Design 1st Order HP to reduce 60 Hz noise • 2nd Order LP and loading • 4th Order Butterworth • Intro to Opamps • Characteristics • Specifications • Basic circuits

More Related