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

Dependencies:   UIT_ACM1602NI UITDSP_ADDA mbed UIT_AQM1602

Revision:
0:ca94cfc90365
Child:
3:24b6aa1a19ba
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/WindowingDesign/WindowingDesign.cpp	Mon Dec 08 08:14:48 2014 +0000
@@ -0,0 +1,91 @@
+//------------------------------------------------------------------------------
+//  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);
+    }
+}