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IIR 数字滤波器的设计 包括 Butterworth filter,Chebyshev I filter, Chebyshev II filter
形式有 Low Band, High Band,Pass Band, Stop Band
static void bwtf(int ln, int k, int n, double[] d, double[] c)
{
int i;
double pi, tmp;
pi = 4.0 * Math.Atan(1.0);
d[0] = 1.0;
c[0] = 1.0;
for (i = 1; i <= n; i )
{
d[i] = 0.0;
c[i] = 0.0;
}
tmp = (k 1) - (ln 1.0) / 2.0;
if (tmp == 0.0)
{
c[1] = 1.0;
}
else
{
c[1] = -2.0 * Math.Cos((2 * (k 1) ln - 1) * pi / (2 * ln));
c[2] = 1.0;
}
}
static void chebyi(int ln, int k, int n, double ep, double[] d, double[] c)
{
int i;
double pi, gam, omega, sigma;
pi = 4.0 * Math.Atan(1.0);
gam = Math.Pow((1.0 Math.Sqrt(1.0 ep * ep)) / ep, 1.0 / ln);
sigma = 0.5 * (1.0 / gam - gam) * Math.Sin((2 * (k 1) - 1) * pi / (2 * ln));
omega = 0.5 * (1.0 / gam gam) * Math.Cos((2 * (k 1) - 1) * pi / (2 * ln));
for (i = 0; i <= n; i )
{
d[i] = 0.0;
c[i] = 0.0;
}
if (((ln % 2) == 1) && ((k 1) == (ln 1) / 2))
{
d[0] = -sigma;
c[0] = d[0];
c[1] = 1.0;
}
else
{
c[0] = sigma * sigma omega * omega;
c[1] = -2.0 * sigma;
c[2] = 1.0;
d[0] = c[0];
if ((ln % 2 == 0) && (k == 0))
{
d[0] = d[0] / Math.Sqrt(1.0 ep * ep);
}
}
}
static void chebyii(int ln, int k, int n, double ws, double att, double[] d, double[] c)
{
int i;
double pi, gam, alpha, beta, sigma, omega, scln, scld;
pi = 4.0 * Math.Atan(1.0);
gam = Math.Pow((att Math.Sqrt(att * att - 1.0)), 1.0 / ln);
alpha = 0.5 * (1.0 / gam - gam) * Math.Sin((2 * (k 1) - 1) * pi / (2 * ln));
beta = 0.5 * (1.0 / gam gam) * Math.Cos((2 * (k 1) - 1) * pi / (2 * ln));
sigma = ws * alpha / (alpha * alpha beta * beta);
omega = -1.0 * ws * beta / (alpha * alpha beta * beta);
for (i = 0; i <= n; i )
{
d[i] = 0.0;
c[i] = 0.0;
}
if (((ln % 2) == 1) && ((k 1) == (ln 1) / 2))
{
d[0] = -1.0 * sigma;
c[0] = d[0];
c[1] = 1.0;
}
else
{
scln = sigma * sigma omega * omega;
scld = Math.Pow((ws / Math.Cos((2 * (k 1) - 1) * pi / (2 * ln))), 2);
d[0] = scln * scld;
d[2] = scln;
c[0] = d[0];
c[1] = -2.0 * sigma * scld;
c[2] = scld;
}
}