Type : Dither with noise-shaping
References : Posted by Paul Kellett
This is a simple implementation of highpass triangular-PDF dither (a good general-purpose dither) with optional 2nd-order noise shaping (which lowers the noise floor by 11dB below 0.1 Fs).
The code assumes input data is in the range +1 to -1 and doesn't check for overloads!
To save time when generating dither for multiple channels you can re-use lower bits of a previous random number instead of calling rand() again. e.g. r3=(r1 & 0x7F)<<8;
int r1, r2; //rectangular-PDF random numbers
float s1, s2; //error feedback buffers
float s = 0.5f; //set to 0.0f for no noise shaping
float w = pow(2.0,bits-1); //word length (usually bits=16)
float wi= 1.0f/w;
float d = wi / RAND_MAX; //dither amplitude (2 lsb)
float o = wi * 0.5f; //remove dc offset
float in, tmp;
//for each sample...
r2=r1; //can make HP-TRI dither by
r1=rand(); //subtracting previous rand()
in += s * (s1 + s1 - s2); //error feedback
tmp = in + o + d * (float)(r1 - r2); //dc offset and dither
out = (int)(w * tmp); //truncate downwards
if(tmp<0.0f) out--; //this is faster than floor()
s2 = s1;
s1 = in - wi * (float)out; //error
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