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External Function real_ifft


Copyright (C) 2005 IENT-RWTH Aachen

template<class G1,class G2> inline void real_ifft(Vector<G1> &XVector<G2> &Y)
template<class G> inline typename DenseVector<typename Vector<G>::value_type::value_type >::self real_ifft(Vector<G> &X)
template<class G1,class G2> inline void real_ifft(const Matrix<G1> &XMatrix<G2> &Y)
template<class G> inline typename DenseMatrix<typename Matrix<G>::value_type::value_type >::self real_ifft(const Matrix<G> &X)

IFFT of a complex-symmetric signal

Parameters

Y

The real IFFT

X

A complex or half-complex signal

Remarks

The complex input signal is supposed to correspond to the FFT of a real signal, and therefore to respect the following symmetry property:

Y[N-i] = conj(Y[i])

Only the first values of the input signal (indexes 0 to N/2) are therefore considered. For any signal of real values, the following statments equal X to within roundoff error:

real_ifft(fft(X))
real_ifft(half_real_fft(X))

The present algorithm has 2 limitations:

See Also

ifft, fft, half_real_fft