Model LC bandstop pi network

Ladder Filters sublibrary of the Physical library

The LC Bandstop Pi block models the LC bandstop pi network described in the block dialog box, in terms of its frequency-dependent S-parameters.

For each inductor and capacitor pair in the network, the block
first calculates the ABCD-parameters at each frequency contained in
the vector of modeling frequencies. For each series pair, A = 1, B = *Z*,
C = 0, and D = 1, where *Z* is the impedance of the
series pair. For each shunt pair, A = 1,
B = 0, C = *Y*,
and D = 1, where *Y* is
the admittance of the shunt pair.

The LC Bandstop Pi block then cascades the ABCD-parameters for
each series and shunt pair 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 for information about determining the modeling frequencies.

The LC bandstop pi network object is a two-port network as shown in the following circuit diagram.

[L_{1}, L_{2}, L_{3},
L_{4}, ...] is the value of the `'L'`

property,
and [C_{1}, C_{2}, C_{3},
C_{4}, ...] is the value of the `'C'`

property.

**Inductance (H)**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)**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.

For information about plotting, see Create Plots.

See the LC Bandpass Pi block for an example of an LC filter.

[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.

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