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2.1.22.3.7 ocmsp_iir_filter

1 Description
2 Syntax
3 Parameters
4 Return
5 Examples
6 Remark
7 See Also
8 Header to Included
9 Reference

Description

Design digital or analog IIR filters with given specifications. It returns the coefficients of transfer function:

$H(z) = \frac{b(0)+b(1)z^{-1}+...+b(n)z^{-n}}{1+a(1)z^{-1}+...+a(n)z^{-n}}$

Syntax

int ocmsp_iir_filter( UINT N, double Wn, double * pB, double * pA, int type, double Rp = 0.0, double Rs = 0.0, double Wn2 = -1.0 )

Parameters

N: [input] filter order, should be even if type is bandpass or bandstop
Wn: [input] cutoff or passband/stopband edge frequency, it's in radians/second if is analog type, and should be normalized to [0, 1] if is digital type(where 1 corresponds to half the sample rate)
pB: [output] returned filter numerator coefficients, size N+1
pA: [output] returned filter denominator coefficients, size N+1
type: [intput] filter type, it specifies the filter prototype(Butterworth, Chebyshev Type I, Chebyshev Type II, Elliptic or Bessel), bandtype(lowpass, highpass, bandstop or bandpass) and digital or analog type. For example; OMSP_BUTTERWORTH|OMSP_LOWPASS|OMSP_DIGITAL means a lowpass Butterworth digital filter.
Rp: [input][optional] passband ripple (dB), needed when it's Chebyshev Type I or Elliptic type
Rs: [input][optional] stopband attenuation (dB), needed when it's Chebyshev Type II or Elliptic type
Wn2: [input][optional] cutoff or passband/stopband-edge frequency. Needed when it's a bandpass or bandstop filter. It's in radians/second if is analog, and should be normalized to [0, 1] if is digital type (where 1 corresponds to half the sample rate).

Return

Return OE_NOERROR if succeed, otherwise, non-zero error code is returned (OE_NULL_POINTER, OE_INVALID_FREQ, OE_INVALID_BANDFREQS, OE_INVLAID_RIPPLE, OE_INVALID_BANDRIPPLES or OE_INVALID_TYPE)

Examples

EX1

#include <ocmsp.h>
void ocmsp_iir_filter_ex1()
{
    UINT N = 18; //even number if is bandpass or bandstop
    double Wn[2] = {300.0/500, 400.0/500};
    vector A(N+1), B(N+1); //size is N+1
    int type = OMSP_BUTTERWORTH|OMSP_BANDPASS|OMSP_DIGITAL;
 
    int nRet = 0;
    if (0 != (nRet = ocmsp_iir_filter(N, Wn[0], B, A, type, 0.0, 0.0, Wn[1])))
    {
        printf("ocmsp_iir_filter failed, error code=%d\n", nRet);
        return;
    }
 
    int ii;
    printf("b= ");
    for(ii = 0; ii < B.GetSize(); ++ii)
    {
		printf("\t%lf\n", B[ii]);
    }
    printf("a= ");
    for(ii = 0; ii < A.GetSize(); ++ii)
    {
		printf("\t%lf\n", A[ii]);
    }
}

Remark

Header to Included

ocmsp.h