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Nexxim Simulator >
Nexxim Component Models >
Nexxim Filters >
   Elliptic Band Pass Filter       

Elliptic Band Pass Filter

 

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Netlist Syntax

An instance of an elliptic band pass filter has three netlist variants:

Axxx n1 n2 N=val [AMAX=val] [AMIN=val] [FA=val] [FB=val] [R1=val] [R2=val] [IL=val] COMPONENT=elliptic_bandpass_filter

Axxx n1 n2 KP=val [AMAX=val] [AMIN=val] [FA=val] [FB=val] [R1=val] [R2=val] [IL=val] COMPONENT=elliptic_bandpass_filter

Axxx n1 n2 FL=val FH=val [AMAX=val] [AMIN=val] [FA=val] [FB=val] [R1=val] [R2=val] [IL=val] COMPONENT=elliptic_bandpass_filter

n1 and n2 are the nodes connected to the filter. The entry COMPONENT=elliptic_bandpass_filter is required.

 


Elliptic Band Pass Filter Instance Parameters

Parameter

Description

Units

Default

AMAX

Maximum fluctuation in the pass band

dB

0.1

AMIN

Minimum fluctuation in the stop band

dB

40

FA

Lower pass band edge

Hz

1e9

FB

Upper pass band edge

Hz

2e9

N

Order of filter, 2 < N < 15

None

0

KP

Steepness of descent (sharpness of filter)

None

0.0

FL

Lower stop band edge

Hz

0

FH

Upper stop band edge

Hz

0

R1

Reference resistance for node 1

Ohm

50

R2

Reference resistance for node 2

Ohm

50

IL

Insertion loss in dB

dB

0


Netlist Example

A22 1 2 N=5 AMAX=.05 AMIN=40 FA=0.5e9 FB=3e9
+ COMPONENT=elliptic_bandpass_filter

Notes

1. The elliptic filter model represents three separate components: ELBPF_N, ELBPF_KP, and ELBPF_FS. The parameters N, KP, and FL &FH are mutually exclusive in the syntax.

2. The elliptic filter has equal loss maxima in the pass band and equal loss minima in the stop band. The elliptic filter provides a sharp transition region for the lowest possible order.

3. The magnitude of the transfer function of the elliptic filter (low-pass prototype) is equal to the inverse of the loss:

 

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where:

Rn(ω, IL) is the Nth-order Chebychev rational function,

e = 100.1AMIN,

w = 2pf,

 

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4. The first netlist variant specifies the order of the filter, N. The order defines the number of reactive elements needed to implement the filter. The range for N (order of filter) is from 2 to 15. Orders higher than 15 cannot be simulated.

5. The second netlist variant specifies the sharpness of the filter, KP. The order of the filter is then calculated from the value of KP.

6. The third netlist variant specifies one or both stop band edges, FH and FL. The required order of the filter is calculated from the edge information.

6A. When only FH or FL is given, the edge frequencies are calculated to define a geometri­cally symmetrical filter:

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6B. When both FH and FL are given such that , a new upper stop band edge and a new upper pass band edge are defined:

 

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6C. When both FH and FL are given such that , a new lower stop band edge and a new lower pass band edge are defined:

 

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6D. After the edge calculations, the normalized low-pass model poles are calculated for
fC = 1and fS = (fH - fL)/(fB - fA), where fC is the pass band cutoff frequency and fS is the stop­band edge frequency (see the elliptic lowpass filter description).

 

References

[1] Approximation Methods for Electronic Filter Design, Richard W. Daniels, McGraw-Hill, Inc.

[2] Handbook of Filter Synthesis, Anatol I. Zvered, John Wiley & Sons, Inc. 1967.




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