Model LC lowpass pi network
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Libraries:
RF Blockset / Equivalent Baseband / Ladder Filters
Description
The LC Lowpass Pi block models the LC lowpass pi network described in the block dialog box, in terms of its frequency-dependent S-parameters.
For each inductor and capacitor in the network, the block first calculates the ABCD-parameters at each frequency contained in the vector of modeling frequencies. For each series circuit, A=1, B=Z, C=0, and D=1, where Z is the impedance of the series circuit. For each shunt, A=1, B=0, C=Y, and D=1, where Y is the admittance of the shunt circuit.
The LC Lowpass Pi block then cascades the ABCD-parameters for each circuit element at each of the modeling frequencies, and converts the cascaded parameters to S-parameters using the RF Toolbox™ abcd2s function.
See the Output Port block reference page for information about determining the modeling frequencies.
The LC lowpass pi network object is a two-port network as shown in the following circuit diagram.
[L1, L2, ...] is the value of the 'L' property, and [C1, C2, C3, ...] is the value of the 'C' property.
Examples
Open Script
Parameters
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Main
Inductance (H) — Inductance of the LC Lowpass Pi
2.8318e-6 (default) | vector
Vector containing the inductances, in order from source to load, of all inductors in the network. The inductance vector must contain at least three elements. All values must be strictly positive.
Capacitance (F) — Capacitance of the LC Lowpass Pi
[5.3296e-9 5.3296e-9] (default) | vector
Vector containing the capacitances, in order from source to load, of all capacitors in the network. Its length must be equal to the length of the vector you provide in the Inductance parameter. All values must be strictly positive.
Visualization
Source of frequency data — Frequency data source
User-specified (default)
Frequency data source, specified as User-specified.
Frequency data (Hz) — Frequency data range
[1:1.0e5:4e6] (default) | vector
Frequency data range, specified as a vector in hertz.
Reference impedance (ohms) — Reference impedance
50 (default) | nonnegative scalar
Reference impedance, specified as a nonnegative scalar in ohms.
Plot type — Type of data plot
X-Y plane (default) | Composite data | Polar plane | Z Smith chart | Y Smith chart | ZY Smith chart
Type of data plot to visualize using the given data, specified as one of the following:
X-Y plane— Generate a Cartesian plot of the data versus frequency. To create linear, semilog, or log-log plots, set the Y-axis scale and X-axis scale accordingly.Composite data— Plot the composite data. For more information, see Create Plots Using Equivalent Baseband Library Blocks.Polar plane— Generate a polar plot of the data. The block plots only the range of data corresponding to the specified frequencies.Z smith chart,Y smith chart, andZY smith chart— Generate a Smith® chart. The block plots only the range of data corresponding to the specified frequencies.
Y parameter1 — Type of parameters to plot
S11 (default) | S12 | S21 | S22 | GroupDelay | OIP3 | NF | ...
Type of parameters to plot based on the Plot type you set, specified as one of the following.
| Plot type | Y parameter1 |
|---|---|
X-Y plane | S11, S12, S21, S22, GroupDelay, OIP3, NF, NFactor, and NTemp. |
Composite data | No Y parameter1 to set. |
Polar plane | S11, S12, S21, and S22 |
Z Smith chart | S11 and S22. |
Y Smith chart | S11 and S22. |
ZY smith chart | S11 and S22. |
Y parameter2 — Type of parameters to plot
S11 (default) | S12 | S21 | S22 | GroupDelay | OIP3 | NF | ...
Type of parameters to plot based on the Plot type you set, specified as one of the following.
| Plot type | Y parameter2 |
|---|---|
X-Y plane | S11, S12, S21, S22, GroupDelay, OIP3, NF, NFactor, and NTemp. |
Composite data | No Y parameter2 to set. |
Polar plane | S11, S12, S21, and S22 |
Z Smith chart | S11 and S22. |
Y Smith chart | S11 and S22. |
ZY smith chart | S11 and S22. |
Y format1 — Plot format
Magnitude (decibels) (default) | Mag | Magnitude (linear) | Angle | Real | Imaginary | ...
Plot format, specified as one of the following.
| Y parameter1 | Y format1 |
|---|---|
S11, S12, S21, and S22. | Magnitude (decibels), Magnitude (linear), Angle(degrees), Angle(radians), Real, and Imaginary. |
GroupDelay | ns, us, ms, s, and ps. |
OIP3 | dB, dBm, W, and mW. |
NF | Magnitude (decibels) |
NFactor | None |
NTemp | Kelvin |
Dependencies
To enable Y format1, set Plot type to X-Y plane.
Y format2 — Plot format
Magnitude (decibels) (default) | Mag | Magnitude (linear) | Angle | Real | Imaginary | ...
Plot format, specified as one of the following.
| Y parameter2 | Y format2 |
|---|---|
S11, S12, S21, and S22. | Magnitude (decibels), Magnitude (linear), Angle(degrees), Angle(radians), Real, and Imaginary. |
GroupDelay | ns, us, ms, s, and ps. |
OIP3 | dB, dBm, W, and mW. |
NF | Magnitude (decibels) |
NFactor | None |
NTemp | Kelvin |
Dependencies
To enable Y format2, set Plot type to X-Y plane.
X parameter — Frequency plot
Freq (default)
Frequency plot, specified as Freq.
X format — Frequency plot format
Hz (default) | Auto | kHz | MHz | GHz | THz
Frequency plot format, specified as one of the following.
Auto | Hz | kHz | MHz |
GHz | THz |
Y scale — Y-axis scale
Linear (default) | Log
Y-axis scale, specified as Linear or Log.
Dependencies
To enable this parameter, set Plot type to X-Y plane.
X scale — X-axis scale
Linear (default) | Log
X-axis scale, specified as Linear or Log.
Dependencies
To enable this parameter, set Plot type to X-Y plane.
Plot — Plot specified data
button
Plot the specified data using the plot button.
References
[1] Ludwig, Reinhold and Pavel Bretchko. RF Circuit Design: Theory and Applications. Prentice-Hall, 2000.
[2] Zverev, Anatol I.Handbook of Filter Synthesis . John Wiley & Sons, 1967.
Version History
Introduced in R2013a
See Also
General Passive Network | LC Bandpass Pi | LC Bandpass Tee | LC Bandstop Pi | LC Bandstop Tee | LC Highpass Pi | LC Highpass Tee | LC Lowpass Tee | Series C | Series L | Series R | Series RLC | Shunt C | Shunt L | Shunt R | Shunt RLC
Topics
- Model RF Filter Using Equivalent Baseband
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