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REVIEW OF OP-AMPS CIRCUITS
&
CATEGORIZATION OF FILTERS
23/12/2016 Imran Ullah Khan JAP/IU 1
23/12/2016 Imran Ullah Khan JAP/IU 2
Frequency-Selection function
• Passing
• Stopping
• Pass-Band
• Low-Pass
• High-Pass
• Band-Pass
• Band-Stop
• Band-Reject
23/12/2016 Imran Ullah Khan JAP/IU 3
LOW-PASS FILTER
A network which passes all the
frequencies upto ωH and stop or
attenuated all other frequencies is
called low-pass filter.
23/12/2016 Imran Ullah Khan JAP/IU 4
HIGH-PASS FILTER
A network which passes all the
frequencies from ωL and stop or
attenuated all other frequencies before
ωL is called high-pass filter.
23/12/2016 Imran Ullah Khan JAP/IU 5
BAND-PASS FILTER
A network which passes all the
frequencies between ωH and ωL and stop
or attenuated all other frequencies is
called band-pass filter.
23/12/2016 Imran Ullah Khan JAP/IU 6
BAND-REJECT FILTER
A network which stop all the
frequencies between ωH and ωL and
passes all other frequencies is called
band-stop filter.
Filter Transmission, Types and Specification
Transfer Function
T s( )
Vo s( )
Vi s( )
The Filter Transmisson found by evaluating T(s) for physical frequencies
s j ω⋅ T jω( ) T jω( ) e
jφ ω( )
⋅
Gain Function
G ω( ) 20 log T jω( )( )⋅ dB
Attenuation Function
A ω( ) 20− log T jω( )( )⋅ dB
23/12/2016 Imran Ullah Khan JAP/IU 7
23/12/2016 Imran Ullah Khan JAP/IU 8
Summary – Low-pass specification
•The Passband Edge, ωp
•The Maximum Allowed Variation In Passband, Amax
•The Stopband Edge, ωs
•The Minimum Required Stopband Attenuation, Amin
•Passband Ripple
•Ripple Bandwidth
23/12/2016 Imran Ullah Khan JAP/IU 9
Magnitude Response of LPF
23/12/2016 Imran Ullah Khan JAP/IU 10
transfer function zeros or transmission zeros
T s( )
aM s z1−( )⋅ s z2−( )⋅ s z3−( )⋅ ⋅ ⋅ ⋅ s zM−( )⋅
s p1−( ) s p2−( )⋅ s p3−( )⋅ ⋅ ⋅ ⋅ s pN−( )⋅
transfer function poles or the natural poles
Pole Zero Plot of LPF
Transmission specifications for a bandpass filter. The magnitude response of a filter that just meets
specifications is also shown. Note that this particular filter has a monotonically decreasing
transmission in the passband on both sides of the peak frequency.
Band Pass Filter
23/12/2016 Imran Ullah Khan JAP/IU 11
Pole-zero pattern for the bandpass filter whose transmission is shown. This filter is of the sixth order (N = 6.)
BPF Transfer Function
23/12/2016 Imran Ullah Khan JAP/IU 12
Summary of General First-Order Filter
23/12/2016 Imran Ullah Khan JAP/IU 13
23/12/2016 Imran Ullah Khan JAP/IU 14
Summary of First-Order LPF
23/12/2016 Imran Ullah Khan JAP/IU 15
Summary of First-Order HPF
All Pass Filter
23/12/2016 Imran Ullah Khan JAP/IU 16
Low Pass Filter Functions
23/12/2016 Imran Ullah Khan JAP/IU 6
23/12/2016 Imran Ullah Khan JAP/IU 7
High Pass Filter Functions
23/12/2016 Imran Ullah Khan JAP/IU 8
Band pass filter Functions
23/12/2016 Imran Ullah Khan JAP/IU 9
NOTCH Functions
23/12/2016 Imran Ullah Khan JAP/IU 10
NOTCH Functions
All Pass Filter Functions
23/12/2016 Imran Ullah Khan JAP/IU 11
23/12/2016 Imran Ullah Khan JAP/IU 1
DELAY & GAIN
EQUALIZER
23/12/2016 Imran Ullah Khan JAP/IU 2
It passes all the frequencies but provide phase delay
23/12/2016 Imran Ullah Khan JAP/IU 3
Below figure shows transfer function and Pole-Zero Plot.
0a;
ωs
ωs
aT(s) 1
0
0
1 >
+
−
−=
23/12/2016 Imran Ullah Khan JAP/IU 4
Magnitude Response
23/12/2016 Imran Ullah Khan JAP/IU 5
Phase Response

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Unit 1

  • 1. REVIEW OF OP-AMPS CIRCUITS & CATEGORIZATION OF FILTERS 23/12/2016 Imran Ullah Khan JAP/IU 1
  • 2. 23/12/2016 Imran Ullah Khan JAP/IU 2 Frequency-Selection function • Passing • Stopping • Pass-Band • Low-Pass • High-Pass • Band-Pass • Band-Stop • Band-Reject
  • 3. 23/12/2016 Imran Ullah Khan JAP/IU 3 LOW-PASS FILTER A network which passes all the frequencies upto ωH and stop or attenuated all other frequencies is called low-pass filter.
  • 4. 23/12/2016 Imran Ullah Khan JAP/IU 4 HIGH-PASS FILTER A network which passes all the frequencies from ωL and stop or attenuated all other frequencies before ωL is called high-pass filter.
  • 5. 23/12/2016 Imran Ullah Khan JAP/IU 5 BAND-PASS FILTER A network which passes all the frequencies between ωH and ωL and stop or attenuated all other frequencies is called band-pass filter.
  • 6. 23/12/2016 Imran Ullah Khan JAP/IU 6 BAND-REJECT FILTER A network which stop all the frequencies between ωH and ωL and passes all other frequencies is called band-stop filter.
  • 7. Filter Transmission, Types and Specification Transfer Function T s( ) Vo s( ) Vi s( ) The Filter Transmisson found by evaluating T(s) for physical frequencies s j ω⋅ T jω( ) T jω( ) e jφ ω( ) ⋅ Gain Function G ω( ) 20 log T jω( )( )⋅ dB Attenuation Function A ω( ) 20− log T jω( )( )⋅ dB 23/12/2016 Imran Ullah Khan JAP/IU 7
  • 8. 23/12/2016 Imran Ullah Khan JAP/IU 8 Summary – Low-pass specification •The Passband Edge, ωp •The Maximum Allowed Variation In Passband, Amax •The Stopband Edge, ωs •The Minimum Required Stopband Attenuation, Amin •Passband Ripple •Ripple Bandwidth
  • 9. 23/12/2016 Imran Ullah Khan JAP/IU 9 Magnitude Response of LPF
  • 10. 23/12/2016 Imran Ullah Khan JAP/IU 10 transfer function zeros or transmission zeros T s( ) aM s z1−( )⋅ s z2−( )⋅ s z3−( )⋅ ⋅ ⋅ ⋅ s zM−( )⋅ s p1−( ) s p2−( )⋅ s p3−( )⋅ ⋅ ⋅ ⋅ s pN−( )⋅ transfer function poles or the natural poles Pole Zero Plot of LPF
  • 11. Transmission specifications for a bandpass filter. The magnitude response of a filter that just meets specifications is also shown. Note that this particular filter has a monotonically decreasing transmission in the passband on both sides of the peak frequency. Band Pass Filter 23/12/2016 Imran Ullah Khan JAP/IU 11
  • 12. Pole-zero pattern for the bandpass filter whose transmission is shown. This filter is of the sixth order (N = 6.) BPF Transfer Function 23/12/2016 Imran Ullah Khan JAP/IU 12
  • 13. Summary of General First-Order Filter 23/12/2016 Imran Ullah Khan JAP/IU 13
  • 14. 23/12/2016 Imran Ullah Khan JAP/IU 14 Summary of First-Order LPF
  • 15. 23/12/2016 Imran Ullah Khan JAP/IU 15 Summary of First-Order HPF
  • 16. All Pass Filter 23/12/2016 Imran Ullah Khan JAP/IU 16
  • 17. Low Pass Filter Functions 23/12/2016 Imran Ullah Khan JAP/IU 6
  • 18. 23/12/2016 Imran Ullah Khan JAP/IU 7 High Pass Filter Functions
  • 19. 23/12/2016 Imran Ullah Khan JAP/IU 8 Band pass filter Functions
  • 20. 23/12/2016 Imran Ullah Khan JAP/IU 9 NOTCH Functions
  • 21. 23/12/2016 Imran Ullah Khan JAP/IU 10 NOTCH Functions
  • 22. All Pass Filter Functions 23/12/2016 Imran Ullah Khan JAP/IU 11
  • 23. 23/12/2016 Imran Ullah Khan JAP/IU 1 DELAY & GAIN EQUALIZER
  • 24. 23/12/2016 Imran Ullah Khan JAP/IU 2 It passes all the frequencies but provide phase delay
  • 25. 23/12/2016 Imran Ullah Khan JAP/IU 3 Below figure shows transfer function and Pole-Zero Plot. 0a; ωs ωs aT(s) 1 0 0 1 > + − −=
  • 26. 23/12/2016 Imran Ullah Khan JAP/IU 4 Magnitude Response
  • 27. 23/12/2016 Imran Ullah Khan JAP/IU 5 Phase Response