WCfft1b WCfft1b2 WCfft1f WCfft1f2 WCost1b WCost1f WRfft1b WRfft1f WSint1b WSint1f

WSint1f() Function WSint1f ( N As  Long, R As  Variant  ) One-dimensional sine transform Purpose WSint1f computes the one-dimensional Fourier transform of an odd sequence within a real array. This is referred to as the forward transform or Fourier analysis, transforming the sequence from physical to spectral space. R(k) = (2/(N+1))ΣR(j)sin(π(j+1)(k+1)/(N+1)) (Σ for j = 0 to N-1) (k = 0 to N-1) This transform is normalized since a call to WSint1f followed by a call to WSint1b (or vice-versa) reproduces the original array subject to algorithmic constraints, roundoff error, etc. Returns N x 1 Column 1 Rows 1 to N Sine transformed data sequence Parameters [in] N The length of the sequence to be transformed. (N >= 1) The transform is most efficient when N + 1 is a product of small primes. [in] R (N) The sequence to be transformed. Reference FFTPACK Example Compute the sine transform of the data sequence by WSint1f. Then compute its backward transform by WSint1b and confirm that the original data sequence is restored.