filterHairpin

Create hairpin filter in microstrip form

Since R2021b

Description

Use the filterHairpin object to create a hairpin filter in microstrip form.

Three part image from right to left: Default image of a hairpin filter. Current distribution on the hairpin filter. S-parameters plot of the hairpin filter.

Hairpin filters are easy to fabricate. Design these filters at different frequencies by changing the roll-offs and the ripple factors. You can control the bandwidth of the filter by varying the filter order, width, and the distance between the coupled lines. There are two types of hairpin filters based on the feed: tapped-line input hairpin filters and coupled-line input hairpin filters.

To analyze the behavioral model for the hair pin filter, set the Behavioral property in the sparameters to true or 1.

Creation

Syntax

filter = filterHairpin

filter = filterHairpin(Name=Value)

Description

filter = filterHairpin creates a default hairpin filter with default passband of the filter at 2 GHz.

example

filter = filterHairpin(Name=Value) sets Properties using one or more name-value arguments. For example, filterHairpin(Resonator=ubendMitered) creates a hairpin filter with a mitered u-bend element as the resonator. Properties not specified retain their default values

example

Properties

expand all

`Resonator` — Shape of hairpin element
`uBendRightAngle` (default) | `ubendMitered` | `ubendCurved`

Shape of the hairpin element, specified as either uBendRightAngle, ubendMitered, or ubendCurved.

Example: filter = filterHairpin(Resonator=ubendCurved)

Data Types: char | string

`FilterOrder` — Filter order
`3` (default) | positive scalar

Filter order, specified as a positive scalar.

Example: filter = filterHairpin(FilterOrder=5)

Data Types: double

`ResonatorOffset` — Y-offset of each resonator
`[0 0 0]` (default) | vector

Y-offset of each resonator in meters, specified as a vector.

Example: filter = filterHairpin(ResonatorOffset=[0.02 0.02 0.02])

Data Types: double

`Spacing` — Distance between hairpin bends
`[4.0000e-04 4.0000e-04]` (default) | vector

Distance between the hairpin bends in meters, specified as a vector of positive elements.

Example: filter = filterHairpin(Spacing=[0.02 0.02 0.02])

Data Types: double

`PortLineLength` — Length of input and output lines
`0.0080` (default) | positive scalar

Length of the input and output lines in meters, specified as a positive scalar.

Example: filter = filterHairpin(PortLineLength=0.0553)

Data Types: double

`PortLineWidth` — Width of input and output lines
`0.0050` (default) | positive scalar

Width of the input and output lines in meters, specified as a positive scalar.

Example: filter = filterHairpin(PortLineWidth=0.0087)

Data Types: double

`FeedOffset` — Y-offset for input and output lines
`[-0.0055 -0.0055]` (default) | vector

Y-offset for the input and the output lines, specified as a vector.

Example: filter = filterHairpin(FeedOffset=[-0.002 -0.002])

Data Types: double

`FeedType` — Type of feed at input and output ports
`"Tapped"` (default) | `"Coupled"`

Type of feed at the input and output ports, specified as either "Tapped" or "Coupled".

Example: filter = filterHairpin(FeedType="Coupled")

Data Types: char | string

`CoupledLineLength` — Length of coupled feed lines
`[0.0279 0.0279 0.0279 0.0279]` (default) | vector

Length of the coupled feed lines in meters, specified as a vector of positive elements.

Example: filter = filterHairpin(CoupledLineLength=[0.0553 0.0553 0.0553 0.0553])

Dependencies

To enable CoupledLineLength, set the FeedType property to "Coupled".

Data Types: double

`CoupledLineWidth` — Width of coupled feed lines
`[0.0036 0.0049 0.0049 0.0036]` (default) | vector

Width of the coupled feed lines in meters, specified as a vector of positive elements.

Example: filter = filterHairpin(CoupledLineWidth=[0.0046 0.0059 0.0059 0.0046])

Dependencies

To enable CoupledLineLength, set the FeedType property to "Coupled".

Data Types: double

`CoupledLineSpacing` — Distance between feed line and hairpin
`[1.8270e-04 0.0019 0.0019 1.8270e-04]` (default) | vector

Distance between the feed line and the hairpin in meters, specified as a vector.

Example: filter = filterHairpin(CoupledLineSpacing=[2.8270e-04 0.0020 0.0020 2.8270e-04])

Dependencies

To enable CoupledLineLength, set the FeedType property to "Coupled".

Data Types: double

`Height` — Height of hairpin filter from ground plane
`0.0016` (default) | positive scalar

Height of the hairpin filter from the ground plane in meters, specified as a positive scalar. In the case of a multilayer substrate, you can use the Height property to create a hairpin filter where the two dielectrics interface.

Example: filter = filterHairpin(Height=0.020)

Data Types: double

`GroundPlaneWidth` — Width of ground plane
`0.0567` (default) | positive scalar

Width of the ground plane in meters, specified as a positive scalar.

Example: filter = filterHairpin(GroundPlaneWidth=[0.0679)

Data Types: double

`Substrate` — Type of dielectric material
`dielectric` object

Type of dielectric material used as a substrate, specified as a dielectric object. The dielectric material in a filterHairpin object with default properties is Teflon.

Example: d = dielectric("FR4"); filter = filterHairpin(Substrate=d)

Data Types: string | char

`Conductor` — Type of metal used in conducting layers
`metal` object

Type of metal used in the conducting layers, specified as a metal object. The type of metal in a filterHairpin object with default properties is PEC.

Example: m = metal("Copper"); filter = filterHairpin(Conductor=m)

Data Types: string | char

Object Functions

`charge`	Calculate and plot charge distribution
`current`	Calculate and plot current distribution
`design`	Design hairpin filter around specified frequency
`feedCurrent`	Calculate current at feed port
`getZ0`	Calculate characteristic impedance of transmission line
`layout`	Plot all metal layers and board shape
`mesh`	Change and view mesh properties of metal or dielectric in PCB component
`shapes`	Extract all metal layer shapes of PCB component
`show`	Display PCB component structure or PCB shape
`sparameters`	Calculate S-parameters for RF PCB objects

Examples

collapse all

Create Default Hairpin Filter

Open Live Script

Create and view a default hairpin filter.

hairpinfilter = filterHairpin

hairpinfilter = 
  filterHairpin with properties:

           Resonator: [1x1 ubendRightAngle]
         FilterOrder: 3
     ResonatorOffset: [0 0 0]
             Spacing: [4.0000e-04 4.0000e-04]
      PortLineLength: 0.0080
       PortLineWidth: 0.0050
          FeedOffset: [-0.0055 -0.0055]
            FeedType: 'Tapped'
              Height: 0.0016
    GroundPlaneWidth: 0.0567
           Substrate: [1x1 dielectric]
           Conductor: [1x1 metal]
          IsShielded: 0

show(hairpinfilter)

Figure contains an axes object. The axes object with title filterHairpin element, xlabel x (mm), ylabel y (mm) contains 6 objects of type patch, surface. These objects represent PEC, feed, Teflon.

Fifth-Order Coupled Hairpin Filter

Open Live Script

Create and view a fifth-order coupled hairpin filter.

hairpinfilter = filterHairpin(FeedType="Coupled")

hairpinfilter = 
  filterHairpin with properties:

             Resonator: [1x1 ubendRightAngle]
           FilterOrder: 3
       ResonatorOffset: [0 0 0]
               Spacing: [4.0000e-04 4.0000e-04]
            FeedOffset: [-0.0055 -0.0055]
        PortLineLength: 0.0080
         PortLineWidth: 0.0050
              FeedType: 'Coupled'
     CoupledLineLength: 0.0279
      CoupledLineWidth: 0.0029
    CoupledLineSpacing: [1.8270e-04 1.8270e-04]
                Height: 0.0016
      GroundPlaneWidth: 0.0567
             Substrate: [1x1 dielectric]
             Conductor: [1x1 metal]
            IsShielded: 0

hairpinfilter.FilterOrder = 5

hairpinfilter = 
  filterHairpin with properties:

             Resonator: [1x1 ubendRightAngle]
           FilterOrder: 5
       ResonatorOffset: [0 0 0 0 0]
               Spacing: [4.0000e-04 4.0000e-04 1.0000e-03 1.0000e-03]
            FeedOffset: [-0.0055 -0.0055]
        PortLineLength: 0.0080
         PortLineWidth: 0.0050
              FeedType: 'Coupled'
     CoupledLineLength: 0.0279
      CoupledLineWidth: 0.0029
    CoupledLineSpacing: [1.8270e-04 1.8270e-04]
                Height: 0.0016
      GroundPlaneWidth: 0.0567
             Substrate: [1x1 dielectric]
             Conductor: [1x1 metal]
            IsShielded: 0

show(hairpinfilter)

Figure contains an axes object. The axes object with title filterHairpin element, xlabel x (mm), ylabel y (mm) contains 6 objects of type patch, surface. These objects represent PEC, feed, Teflon.

Plot the current and charge distribution of the filter at 2 GHZ.

figure
current(hairpinfilter,2e9)

Figure contains an axes object. The axes object with title Current distribution, xlabel x (m), ylabel y (m) contains 4 objects of type patch.

figure
charge(hairpinfilter,2e9)

Figure contains an axes object. The axes object with title Charge distribution, xlabel x (m), ylabel y (m) contains 4 objects of type patch.

References

[1] Bankey, Kavita, and Abhinav Bhargava. “Design of Compact Microstrip Hairpin Multi Bandpass Filter.” International Journal of Scientific Progress and Research 34, no. 96 (2017): 66–69.

[2] Parikh, Nikunj, Pragya Katare, Ketan Kathal, Nandini Patel, and Gaurav Chaitanya. “Design and Analysis of Hairpin Micro-Strip Line Band Pass Filter.” International Journal of Innovative Research in Electrical, Electronics, Instrumentation, and Control Engineering 3 (April 2015). https://doi.org/10.17148/IJIREEICE.2015.3512.

Version History

Introduced in R2021b

expand all

R2023b: Behavioral Analysis for Hairpin Filter

Use the sparameters function and the pcbElement object to perform the behavioral analysis of a hairpin filter.

filterHairpin

Description

Creation

Syntax

Description

Properties

`Resonator` — Shape of hairpin element
`uBendRightAngle` (default) | `ubendMitered` | `ubendCurved`

`FilterOrder` — Filter order
`3` (default) | positive scalar

`ResonatorOffset` — Y-offset of each resonator
`[0 0 0]` (default) | vector

`Spacing` — Distance between hairpin bends
`[4.0000e-04 4.0000e-04]` (default) | vector

`PortLineLength` — Length of input and output lines
`0.0080` (default) | positive scalar

`PortLineWidth` — Width of input and output lines
`0.0050` (default) | positive scalar

`FeedOffset` — Y-offset for input and output lines
`[-0.0055 -0.0055]` (default) | vector

`FeedType` — Type of feed at input and output ports
`"Tapped"` (default) | `"Coupled"`

`CoupledLineLength` — Length of coupled feed lines
`[0.0279 0.0279 0.0279 0.0279]` (default) | vector

Dependencies

`CoupledLineWidth` — Width of coupled feed lines
`[0.0036 0.0049 0.0049 0.0036]` (default) | vector

Dependencies

`CoupledLineSpacing` — Distance between feed line and hairpin
`[1.8270e-04 0.0019 0.0019 1.8270e-04]` (default) | vector

Dependencies

`Height` — Height of hairpin filter from ground plane
`0.0016` (default) | positive scalar

`GroundPlaneWidth` — Width of ground plane
`0.0567` (default) | positive scalar

`Substrate` — Type of dielectric material
`dielectric` object

`Conductor` — Type of metal used in conducting layers
`metal` object

Object Functions

Examples

Create Default Hairpin Filter

Fifth-Order Coupled Hairpin Filter

References

Version History

R2023b: Behavioral Analysis for Hairpin Filter

See Also

Topics

filterHairpin

Description

Creation

Syntax

Description

Properties

Resonator — Shape of hairpin element uBendRightAngle (default) | ubendMitered | ubendCurved

FilterOrder — Filter order 3 (default) | positive scalar

ResonatorOffset — Y-offset of each resonator [0 0 0] (default) | vector

Spacing — Distance between hairpin bends [4.0000e-04 4.0000e-04] (default) | vector

PortLineLength — Length of input and output lines 0.0080 (default) | positive scalar

PortLineWidth — Width of input and output lines 0.0050 (default) | positive scalar

FeedOffset — Y-offset for input and output lines [-0.0055 -0.0055] (default) | vector

FeedType — Type of feed at input and output ports "Tapped" (default) | "Coupled"

CoupledLineLength — Length of coupled feed lines [0.0279 0.0279 0.0279 0.0279] (default) | vector

Dependencies

CoupledLineWidth — Width of coupled feed lines [0.0036 0.0049 0.0049 0.0036] (default) | vector

Dependencies

CoupledLineSpacing — Distance between feed line and hairpin [1.8270e-04 0.0019 0.0019 1.8270e-04] (default) | vector

Dependencies

Height — Height of hairpin filter from ground plane 0.0016 (default) | positive scalar

GroundPlaneWidth — Width of ground plane 0.0567 (default) | positive scalar

Substrate — Type of dielectric material dielectric object

Conductor — Type of metal used in conducting layers metal object

Object Functions

Examples

Create Default Hairpin Filter

Fifth-Order Coupled Hairpin Filter

References

Version History

R2023b: Behavioral Analysis for Hairpin Filter

See Also

Topics

`Resonator` — Shape of hairpin element
`uBendRightAngle` (default) | `ubendMitered` | `ubendCurved`

`FilterOrder` — Filter order
`3` (default) | positive scalar

`ResonatorOffset` — Y-offset of each resonator
`[0 0 0]` (default) | vector

`Spacing` — Distance between hairpin bends
`[4.0000e-04 4.0000e-04]` (default) | vector

`PortLineLength` — Length of input and output lines
`0.0080` (default) | positive scalar

`PortLineWidth` — Width of input and output lines
`0.0050` (default) | positive scalar

`FeedOffset` — Y-offset for input and output lines
`[-0.0055 -0.0055]` (default) | vector

`FeedType` — Type of feed at input and output ports
`"Tapped"` (default) | `"Coupled"`

`CoupledLineLength` — Length of coupled feed lines
`[0.0279 0.0279 0.0279 0.0279]` (default) | vector

`CoupledLineWidth` — Width of coupled feed lines
`[0.0036 0.0049 0.0049 0.0036]` (default) | vector

`CoupledLineSpacing` — Distance between feed line and hairpin
`[1.8270e-04 0.0019 0.0019 1.8270e-04]` (default) | vector

`Height` — Height of hairpin filter from ground plane
`0.0016` (default) | positive scalar

`GroundPlaneWidth` — Width of ground plane
`0.0567` (default) | positive scalar

`Substrate` — Type of dielectric material
`dielectric` object

`Conductor` — Type of metal used in conducting layers
`metal` object