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/*************************************************************** * fft.c * Douglas L. Jones * University of Illinois at Urbana-Champaign * January 19, 1992 * http://cnx.rice.edu/content/m12016/latest/ * * fft: in-place radix-2 DIT DFT of a complex input * * input: * n: length of FFT: must be a power of two * m: n = 2**m * input/output * x: double array of length n with real part of data * y: double array of length n with imag part of data * * Permission to copy and use this program is granted * as long as this header is included. * * ****************************************************************/ public final class FFT { int n, m; // Lookup tables. Only need to recompute when size of FFT changes. double[] cos; double[] sin; double[] window; public FFT(int n) { this.n = n; this.m = (int) (Math.log(n) / Math.log(2)); // Make sure n is a power of 2 if (n != (1 << m)) { throw new RuntimeException("FFT length must be power of 2"); } // precompute tables cos = new double[n / 2]; sin = new double[n / 2]; for (int i = 0; i < n / 2; i++) { cos[i] = Math.cos(-2 * Math.PI * i / n); sin[i] = Math.sin(-2 * Math.PI * i / n); } } public void fft(double[] x, double[] y) { int i, j, k, n1, n2, a; double c, s, e, t1, t2; // Bit-reverse j = 0; n2 = n / 2; for (i = 1; i < n - 1; i++) { n1 = n2; while (j >= n1) { j = j - n1; n1 = n1 / 2; } j = j + n1; if (i < j) { t1 = x[i]; x[i] = x[j]; x[j] = t1; t1 = y[i]; y[i] = y[j]; y[j] = t1; } } // FFT n1 = 0; n2 = 1; for (i = 0; i < m; i++) { n1 = n2; n2 = n2 + n2; a = 0; for (j = 0; j < n1; j++) { c = cos[a]; s = sin[a]; a += 1 << (m - i - 1); for (k = j; k < n; k = k + n2) { t1 = c * x[k + n1] - s * y[k + n1]; t2 = s * x[k + n1] + c * y[k + n1]; x[k + n1] = x[k] - t1; y[k + n1] = y[k] - t2; x[k] = x[k] + t1; y[k] = y[k] + t2; } } } } }