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Nexxim Simulator >
Nexxim Component Models >
Nexxim Filters >
Pole Zero Filter, Causal

Pole Zero Filter, Causal

Netlist Syntax

An instance of a pole-zero causal filter has the following Nexxim netlist syntax:

Axxx n1 n2 filter_type=1|2|3|4 [FC=val][GF=val] [BW=val]
POLES=[rp1 ip1 ...] ZEROS=[rz1 iz1 ...] COMPONENT=polezero_filter_causal

n1 and n2 are the nodes connected to the filter. The parameter filter_type selects the passband. The entry COMPONENT=polezero_filter_causal is required.

**Pole-Zero Causal Filter Instance Parameters**
Parameter	Description	Units	Default
FILTER_TYPE	Passband selector 1=LOWPASS, 2=HIGHPASS, 3=BANDREJECT, 4=BANDPASS	None	None
FC	3dB cutoff frequency	Hz	1e9
GF	Gain factor	None	1.0
BW	3dB bandwidth	Hz	1e9
*rp1, ip1* ... *rpN, ipN*	Real and imaginary parts of the poles	None	None
*rz1, iz1* ... *rzN, izN*	Real and imaginary parts of the zeros	None	None

Netlist Example

A22 1 2 filter_type=4 FC=80e6 BW=101e4 POLES=[.1 -1.03 .2 .003]
+ ZEROS=[.05 -1.7] + COMPONENT=polezero_filter_causal

Notes

1. The element is specified using a transfer function given as the ratio of two expressions in the complex variable s. The bold brackets for the POLES and ZEROS entries are required.

The function of the device is expressed as:

GAIN ´ H(s)

The transfer function H(s) is specified by giving the coefficients:

where F = the analysis frequency and j=sqrt(-1)

2. The first coefficients in both numerator and denominator (a₀ and b₀) are constants, which must be specified even if they are zero. Thus, leading zeros are significant. In addition, intermediate zero-valued coefficients must be explicitly supplied in order to have the non-zero coefficients applied to the correct powers of s.

3. Trailing zeros are not significant, and are automatically removed.

4. At least one non-zero pole value must be supplied.

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