bp2nlp.mws

syntfil[BP2NLP] - frequency transformation from the non-symmetrical bandpass (BP) to the normalized lowpass (NLP) filter specification

Calling sequence:

      BP2NLP(f_s, f_p, fp, fs, ap, as)

Parameters:

      f_s      - lower stopband frequency [Hz]

      f_p      - lower cutoff frequency [Hz]

      fp       - upper cutoff frequency [Hz]

      fs       - upper stopband frequency [Hz]

  ap       - passband ripple [dB]

  as       - stopband attenuation [dB]

All parameters must be positive real values, where f_s < f_p < fp < fs   and   ap < as .

Description:

  Os -  stopband frequency of normalized lowpass filter [1/s]

  ap -  passband ripple [dB]

  as -  stopband attenuation [dB]

Info level:

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

infolevel[syntfil] =

      2  - signalize non-symmetrical BP, print new values f_s and fs, passband geometric centre, passband width, stopband width and specification of NLP (Os, ap, as)

      3  - as level 2 + print specification of entered BP (f_s, f_p, fp, fs, ap, as) and plot BP filter specification

      4  - as level 3 + plot specification of NLP

Example:

>    with(syntfil):

`Syntfil version 1.53 loaded`

`You can set infolevel[syntfil] variable to 2..5 to get more detailed results!`

>    infolevel[syntfil]:=1;

infolevel[syntfil] := 1

>    x:=BP2NLP(1000,2000,3000,4000,3,40);

x := 2.500000000, 3, 40

>    infolevel[syntfil]:=4;

infolevel[syntfil] := 4

>    BP2NLP(1000,2000,3000,4000,3,40);

Filter specification:

f_s = 1000.000000 Hz

f_p = 2000.000000 Hz

fp = 3000.000000 Hz

fs = 4000.000000 Hz

ap = 3.000000 dB

as = 40.000000 dB

Non-symetrical BP was entered.

New stopband frequency was calculated f_s = 1500.000000 Hz.

fm = 2449.489743 Hz

delta_fp = 1000.000000 Hz

delta_fs = 2500.000000 Hz

[Maple Plot]

Specification of NLP:

Os = 2.500000 1/s

ap = 3.000000 dB

as = 40.000000 dB

[Maple Plot]

2.500000000, 3, 40

See also:

LP2NLP, HP2NLP, BP22NLP, BS2NLP

ButterworthNLPOrder, ChebyshevNLPOrder, CauerNLPOrder