Cutoff frequency variable LPF, HPF, BPF, and BRF by FIR 160th-order filter.

Dependencies:   UIT_ACM1602NI UITDSP_ADDA mbed UIT_AQM1602

WindowingDesign/WindowingDesign.cpp

Committer:
MikamiUitOpen
Date:
2014-12-08
Revision:
0:ca94cfc90365
Child:
3:24b6aa1a19ba

File content as of revision 0:ca94cfc90365:

//------------------------------------------------------------------------------
//  Design of FIR filter of 4 type passbands using window method
//
//  2014/12/07, Copyright (c) 2014 MIKAMI, Naoki
//------------------------------------------------------------------------------

#include "WindowingDesign.hpp"

namespace Mikami
{
    WindowingDesign::WindowingDesign(int order, float fs)
            : FS_(fs), PI_FS_(3.1415926536f/fs)
    {
        order_ = order;
        if ((order % 2) != 0)
        {
            fprintf(stderr, "order must be even.");
            return;
        }
        hm_ = new float[order/2+1];
        wn_ = new float[order/2+1];    
        
        HammWindow();
    }
        
    void WindowingDesign::Design(int order, Type pb,
                                 float fc1, float fc2,
                                 float hk[])
    {       
        if (pb == LPF) fC_ = fc1;
        if (pb == HPF) fC_ = 0.5f*FS_ - fc1;
        
        float w0 = PI_FS_*(fc1 + fc2);
        if ((pb == BPF) || (pb == BPF))
            fC_ = 0.5f*fabs(fc2 - fc1);    

        if (order != order_)
        {
            order_ = order_;
            if (hm_ != NULL) delete[] hm_;
            hm_ = new float[order/2+1];
            if (wn_ != NULL) delete[] wn_;
            wn_ = new float[order/2+1];
            HammWindow();
        }

        // Calculate coefficients for LPF
        LpfCoefficients();
        // If not LPF, transform coefficients
        if (pb != LPF) Transform(pb, w0);
        
        for (int k=0; k<=order/2; k++)
            hk[k] = hm_[order/2-k];
    }

    // Calculation of coefficients for LPF
    void WindowingDesign::LpfCoefficients()
    {
        float w = 2.0f*PI_FS_*fC_;
        hm_[0] = 2.0f*fC_/FS_;
        for (int k=1; k<=order_/2; k++)
            hm_[k] = (sinf(k*w)/(PI_*k))*wn_[k];  
    }
    
    // Transform LPF to HPF, BPF, or BRF
    void WindowingDesign::Transform(Type pb, float w0)
    {
        if (pb == HPF)  // To HPF
            for (int k=1; k<=order_/2; k+=2)
                hm_[k] = -hm_[k];
                
        if (pb == BPF)  // To BPF
            for (int k=0; k<=order_/2; k++)
                hm_[k] = 2.0f*cosf(w0*k)*hm_[k];

        if (pb == BRF)  // To BRF
        {
            hm_[0] = 1.0f - 2.0f*hm_[0];
            for (int k=1; k<=order_/2; k++)
                hm_[k] = -2.0*cosf(w0*k)*hm_[k];
        }
    }    

    // Hamming window
    void WindowingDesign::HammWindow()
    {
        float pi2OvM = 2.0f*PI_/(float)(order_ + 1);
        for (int n=0; n<=order_/2; n++)
            wn_[n] = 0.54f + 0.46f*cosf(pi2OvM*n);
    }
}