Octave filter specification

`d = fdesign.octave(l)`

d = fdesign.octave(l, MASK)

d = fdesign.octave(l, MASK, spec)

d = fdesign.octave(...,
Fs)

`d = fdesign.octave(l)`

constructs an octave
filter specification object `d`

, with `l`

bands
per octave. The default value for `l`

is one.

The filters created by `fdesign.octave`

comply
with the ANSI^{®} S1.11-2004 and IEC 61260:1995 standards.

`d = fdesign.octave(l, MASK)`

constructs
an octave filter specification object `d`

with `l`

bands
per octave and `MASK`

specification for the FVTool.
The available values for mask are:

`'class 0'`

`'class 1'`

`'class 2'`

`d = fdesign.octave(l, MASK, spec)`

constructs an octave filter
specification object `d`

with `l`

bands per octave,
`MASK`

specification for the FVTool, and the
`spec`

specification character vector. The specifications available are:

`'N, F0'`

(not case sensitive), where:

`N`

is the filter order`F0`

is the center frequency. The center frequency is specified in normalized frequency units assuming a sampling frequency of 48 kHz, unless a sampling frequency in Hz is included in the specification:`d = fdesign.octave(..., Fs)`

. If you specify an invalid center frequency, a warning is issued and the center frequency is rounded to the nearest valid value. You can determine the valid center frequencies for your design by using`validfrequencies`

with your octave filter specification object. For example:Valid center frequencies:d = fdesign.octave(1,'Class 1','N,F0',6,1000,44.1e3); validcenterfreq = validfrequencies(d);

Must be greater than 20 Hz and less than 20 kHz if you specify a sampling frequency. The range 20 Hz to 20 kHz is the standard range of human hearing.

Are calculated according to the following algorithm if the number of bands per octave,

`L`

, is even:G = 10^(3/10); x = -1000:1350; validcenterfreq = 1000*(G.^((2*x-59)/(2*L))); validcenterfreq = validcenterfreq(validcenterfreq>20 & validcenterfreq<2e4);

Are calculated according to the following algorithm if the number of bands per octave,

`L`

, is odd:G = 10^(3/10); x = -1000:1350; validcenterfreq = 1000*(G.^((x-30)/L)); validcenterfreq = validcenterfreq(validcenterfreq>20 & validcenterfreq<2e4);

Only center frequencies greater than 20 and less than 20,000 are retained. The center frequencies and the corresponding upper band frequencies must be less than the Nyquist frequency, which is half the sampling rate (

`samplingfreq`

). The vector of upper band frequencies (`upperbandfreq`

) corresponding to the center frequencies (`validcenterfreq`

) is computed using the following algorithm:The algorithm removes the center frequencies whose corresponding upper band frequencies do not obey the Nyquist rule.upperbandfreq = validcenterfreq.*(G^(1/(2*L)));

If you do not specify a sampling frequency,validcenterfreq = validcenterfreq(upperbandfreq < samplingfreq/2);

`fdesign.octave`

assumes a`samplingfreq`

of 48 kHz. To obtain valid normalized center frequencies, the remaining center frequencies are divided by 24,000.validcenterfreq = validcenterfreq/24000;