arcsynt.html

syntfil[ARCSynt] - active RC filter syntesis

Calling sequence:

ARCSynt(params, parts);

Parameters:

params - table of biquadratic transfer functions parameters and with filter type (output of NLP2LP , NLP2HP , NLP2BP , NLP2BP2 or NLP2BS functions)

parts - table of setting parameters (part values)

Params and parts must be type table .

Description:

The function returns a table of all part values and circuit type for realization of all second-order transfer functions (biquads) in cascade filter structure.

Variable parts can contain following parameters: gain of filter [ h0 ], some circuit part values ( C1 , [ C2 , R ]), parameters of operational amplifiers ([ A0 , ft ], i.e. DC open-loop gain and unity-gain frequency), required circuit type ([ type ]) and option for gain distribution ([ arcblock1 ]). Parameters in square brackets are optional. However values of C2 and R are required for certain circuit synthesis. Parameters can be entered as a number (for all sections) or as a list of numbers to specify the parameter for each section separately. Another parameter type can be used in the list for section which should be not specified (e.g. symbol instead of number for part value or number instead of symbol for circuit type).

Gain distribution to particular biquadratic sections (biquads) is calculated at first. The calculation is performed by ARCBlock function. ARCBlock1 function is used instead, if parameter 'arcblock1'=true is specified in input table parts . The most suitable circuit types are determined next (if they are not specified in table parts ) and part values are calculated. ARCSyntLP, ARCSyntHP, ARCSyntBP or ARCSyntBS functions are called for this operation, i.e. for particular biquads synthesis. See help pages of these functions for more information. First order section is designed by ARCSynt function, it means calculation of resistor value in LP0 or HP0 circuit (capacitance C1 must by specified in table parts ).
Diagrams of all circuit types are shown here including optional parameters.

Info level:

Setting of variable infolevel[syntfil] can be used to get more detailed results.

infolevel[syntfil] =

2 - print of particular block gains and used circuits with calculated part values for the blocks realization

3 - print of maxima modulus frequencies of block transfer functions (only for blocks with modulus camber), print of maxima modulus frequencies of transfer functions (shift of maxima modulus frequencies of transfer functions ) + print of level 2 including print of ARCSyntLP , ARCSyntHP , ARCSyntBP or ARCSyntBS functions used for particular biquads synthesis.

Examples:

> with(syntfil):

> Gc,poles:=ButterworthPoles(5,1.2,3):

> lp:=NLP2LP(1000,Gc,poles);

> opt:=table(['C1'=15e-9]):

> ARCSynt(lp,opt);

Warning, ARCSynt: 2nd argument[h0] was not specified and will be considered to be 1.

> infolevel[syntfil]:=3:

> opt:=table(['C1'=15e-9, 'C2'=[non,1e-9], 'h0'=1, 'ft'=1e6, 'A0'=1e5, 'type'=[LP3,0]]):

> ARCSynt(lp,opt):

ARCBlock:

Frequencies of modulus peaks of particular blocks: [[2, 899.88094]].

Frequencies of modulus peaks after particular blocks: [[2, [778.72026]]].

ARCBlock:

Amplification of particular blocks h0 = [1.218468, 0.820703].

********************** Number of blok: 1 **********************

********************** Number of blok: 2 **********************

syntfil/ARCSyntLP1:

Parameters of calculations: method="min. Gamma"; c=0.066667; r_opt=7.521550; alpha=0.725990; h0max=K=1.130460

********************** Number of blok: 3 **********************

***************************************************************

ARCSynt: Used circuit types in particular blocks: [LP3, LP1, LP0].

> infolevel[syntfil]:=2:

> ARCSynt(lp,table(['C1'=15e-9,'arcblock1'=true])):

Warning, ARCSynt: 2nd argument[h0] was not specified and will be considered to be 1.

ARCBlock1:

Amplification of particular blocks h0 = [1.000000, 1.000000].

********************** Number of blok: 1 **********************

********************** Number of blok: 2 **********************

********************** Number of blok: 3 **********************

***************************************************************

ARCSynt: Used circuit types in particular blocks: [LP1, LP1, LP0].

See also:

NLP2LP, NLP2HP, NLP2BP, NLP2BP2, NLP2BS

ARCBlock, ARCBlock1, ARCSyntLP, ARCSyntHP, ARCSyntBP, ARCSyntBS

ARCRoundR, MakeH