Programmer Guide/Command Reference/EVAL/iir1: Difference between revisions

Revision as of 14:06, 11 April 2011

Create and/or apply an IIR filter.

Usage 1

iir1(f1, f2 {, m, rp, rs, inv, type})

f1, f2: the lower and upper cutoff frequency; both values must be specified as relative frequencies (f / sampling-rate); 0 <= f1 < f2 <= 0.5

m: the filter order (default=5)
rp: the desired passband ripple in dB; 0 < rp (default=0.5)
rs: the desired stopband damping level in dB; 0 < rs (default=40)
inv: invert filter response (0=no, 1=yes); if this value is set to 1, the filter frequency response is inverted and f1/f2 are the boundaries of the stopband

type: the type of the filter

{class=keinrahmen"

|type=1 ||... Butterworth filter |type=2 ||... Chebyshev filter |type=3 ||... elliptic filter (this is the default)

Result: The function computes the filter coefficients for the IIR defined by the arguments and returns a matrix c with 2 columns. The first column (c[*,0]) contains the denominator coefficients (poles) and the second (c[*,1]) the nominator coefficients (zeros). The matrix c can be used to apply the filter to a signal (see Usage 3).

Usage 2

iir1(f1, f2, m, rp, rs, inv, type, x)

Result: The function computes the filter coefficients for the IIR defined by the arguments and applies it to the signal x. The result has the same type as the input signal x and containes the filtered signal.

Usage 3

iir1(c, z, x{, s})

c

IIR filter coefficients (see Usage 1)

z

the filter state (delay); must be a matrix with the same dimensions as c

notes:

The matrix should be initialized with zeros (e.g.: #z := eval init($#c[!nrow],$#c[!ncol],0))
The values of z are changed (z must be a reference to a table item

x

the signal sample (scalar) or the signal vector to be filtered

s

the downsampling factor; must be an integer in the range 0<s<ncol(x) (default=1)

note:

If s>1, only the filter output values y[0], y[s], y[2s], ... are stored in the result.
If s>1, nrow(x) should be a multiple of s.

Result: The filtered signal (sample or vector). The argument (reference) z is updated with the new filter state.

@@ Line 20: / Line 20: @@
 ;Result: The function computes the filter coefficients for the IIR defined by the arguments and applies it to the signal ''x''. The result has the same type as the input signal ''x'' and containes the filtered signal.
 ----
-:Usage 3: <code>iir1(<var>c</var>, <var>z</sub>, <var>x</sub>{, <var>s</var>})
+;Usage 3: <code>iir1(<var>c</var>, <var>z</sub>, <var>x</sub>{, <var>s</var>})</code>
 :;<var>c</var>: IIR filter coefficients (see '''Usage 1''')
 :;<var>z</var>: the filter state (delay); must be a matrix with the same dimensions as ''c''
@@ Line 27: / Line 27: @@
 ::*The values of ''z'' are changed (''z'' must be a ''reference'' to a [[Programmer_Guide/Shell_Items/Table|table item]]
 :;<var>x</var>: the signal sample (scalar) or the signal vector to be filtered
+:;<var>s</var>: the downsampling factor; must be an integer in the range <code>0<''s''<ncol(''x'')</code> (default=1)
+::note:
+::*If ''s''>1, only the filter output values y[0], y[''s''], y[2''s''], ... are stored in the result.
+::*If ''s''>1, <code>nrow(''x'')</code> should be a multiple of ''s''.
 :;
+;Result: The filtered signal (sample or vector). The argument (reference) ''z'' is updated with the new filter state.
 ;See also: [[Programmer_Guide/Command_Reference/EVAL/fir1|fir1]]
 [[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]]