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

Elliptic High Pass Filter

 

Netlist Syntax

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

Axxx n1 n2 N=val [AMAX=val] [AMIN=val] FC=val [R1=val] [R2=val] [IL=val] COMPONENT=elliptic_highpass_filter

Axxx n1 n2 KP=val [AMAX=val] [AMIN=val] FC=val [R1=val] [R2=val] [IL=val] COMPONENT=elliptic_highpass_filter

Axxx n1 n2 FS=val [AMAX=val] [AMIN=val] [R1=val] [R2=val] [IL=val] COMPONENT=elliptic_highpass_filter

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

 


Elliptic High 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

FC

Cutoff frequency

Hz

1e9

FS

Stopband edge frequency

Hz

0

N

Order of filter, 2 < N < 15

None

0

KP

Steepness of descent (sharpness of filter)

None

0.0

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 FS=1e9 FH=4e9 AMAX=0.5 AMIN=45
+ COMPONENT=elliptic_highpass_filter

Notes

1. The elliptic filter model represents three separate components: ELHPF_N, ELHPF_KP, and ELHPF_FS. The parameters N, KP, and FS 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 (high-pass prototype) is equal to:

 

[spacer]

 

 

where:

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

e = 100.1AMIN,

w = 2pf,

 

[spacer]

 

 

 

4. The loss in dB is the inverse of the transfer function:

 

[spacer]

 

 

where:

Rn is the Nth-order Chebychev rational function, e = 100.1AMIN,

 

[spacer]

 

 

A normalized band pass filter is designed for wC=1. A frequency transformation is performed for the band reject filter:

 

[spacer]

 

 

 

5. The first netlist variant specifies AMAX, AMIN, FC, and N. The order of the filter determines the sharpness. 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.

6. The second netlist variant specifies AMAX, AMIN, FC, and KP. The order of the filter is then calculated from the value of the given parameters.

7. The third netlist variant specifies AMAX, AMIN, FC, and FS. The required order of the filter is calculated from the parameters given.

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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