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Working with phasor re-rotation
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#include <stdio.h>
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#include <math.h>
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int main()
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{
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const float omegaPerSample = 3.1415926*2.0 / 128; // pi / 200
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// Only divide by 128 to show two cycles.
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const int numSamples = 256; // enough to go from 0 to 2pi
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float phase = 0;
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//for( float phase = 0; phase < 3.1415926*2.0; phase += 0.01 )
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{
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float coeff = 2 * cos( omegaPerSample );
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int i;
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// TRICKY: When you want a sinewave, initialize with omegaPerSample. This
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// is crucial. The initial state will have massive consequences.
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float sprev = omegaPerSample;
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float sprev2 = 0;
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for( i = 0; i < numSamples; i++ )
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{
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// If you wanted to do a DFT, set SAMPLE to your incoming sample.
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float SAMPLE = 65536 * sin( phase + i * omegaPerSample );
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// Here is where the magic happens.
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float s = SAMPLE + coeff * sprev - sprev2;
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sprev2 = sprev;
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sprev = s;
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// For DFT, your power will be:
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float power = sprev*sprev + sprev2*sprev2 - (coeff * sprev * sprev2);
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//printf( "Power: %f\n", power );
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float coeff_s = 2 * sin( omegaPerSample );
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double rR = 0.5 * coeff * sprev - sprev2;
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double rI = 0.5 * coeff_s * sprev;
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printf( "%d,%f,%f\n", i, rR, rI);
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}
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}
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}
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