Vector.IFFTToReal Method

Overload List

#SignatureDescription
1TVec IFFTToReal(TVec Vec, Boolean NoScale)Calculate the inverse FFT from all Vec elements.
2TVec IFFTToReal(Boolean NoScale)The inverse FFT from complex to real.
3TMtxVec IFFTToReal(TMtxVec Vec, Int32 VecIndex, Int32 Index, Int32 Len, Boolean NoScale)The inverse FFT from complex to real.

Overload 1: TVec IFFTToReal(TVec Vec, Boolean NoScale)

Calculate the inverse FFT from all Vec elements.

#NameTypeDescription
1VecTVecsource TVec
2NoScaleBoolean

Result: stored in self (calling object), returns self for chaining

Remarks:

Store the results in the calling vector. Vec Dew.Math.Vector.Length must not be the power of two. Dew.Math.Vector.Length and Dew.Math.Vector.Complex properties of the calling vector are set implicitly the size and type of the result.

Overload 2: TVec IFFTToReal(Boolean NoScale)

The inverse FFT from complex to real.

#NameTypeDescription
1NoScaleBoolean

Result: stored in self (calling object), returns self for chaining

Remarks:

Calculates the inverse Fast Fourier Transformation (FFT) from complex to real from all calling vector elements. The result is a real type vector.

Input vector must be a complex vector or an exception is raised. If the NoScale parameter is true then no scaling is performed for the calling vector. The results can be erroneous if overflow or underflow occurs.

In-place fsfCCS complication

When Dew.Math.Vector.FFTStorageFormat is equal to fsfCCS the Length of the result will be equal to Length-2, because the source data is bigger than the result data by 2 real samples, if Dew.Math.Vector.FFTOddLength is false. If Dew.Math.Vector.FFTOddLength is True the result will fill up Length-1 samples.

Examples
Vector a;
Vector b;
//Even
a.SetIt(true,new double[] {1,2,3,4});
b.FFTFromReal(a); // b = [(10, 0),( -2,2), (-2, 0)]
b.IFFTToReal;     // b = [1, 2, 3, 4, -2, 0)]

//Odd length
a.SetIt(true,new double[] {1,2,3,0});

b.FFTOddLength = true; //use only Length-1 samples
b.FFTFromReal(a); // b = [(6,0),( -1.5,0.8660)] //result requires 2 complex (= 4 real numbers)
b.IFFTToReal;      //b = new double[] {1, 2, 3, 0.8660}

//Event length
a.SetIt(true,new double[] {1,2,3,4, 0,0}); //allocate two more elements
a.FFTOddLength = false; //use only Length-2 samples
a.FFTFromReal; // a = [(10, 0),( -2,2), (-2, 0)] //result requires 3 complex (= 6 real numbers)
a.IFFToReal;   // a = [1, 2, 3, 4, -2, 0)]
See Also: Vector.FFTFromReal, TDenseMtxVec.FFTFromReal, Vector.IFFT, TDenseMtxVec.FFT

Overload 3: TMtxVec IFFTToReal(TMtxVec Vec, Int32 VecIndex, Int32 Index, Int32 Len, Boolean NoScale)

The inverse FFT from complex to real.

#NameTypeDescription
1VecTMtxVecsource TVec or TMtx
2VecIndexInt32
3IndexInt32start index
4LenInt32element count
5NoScaleBoolean

Result: stored in self (calling object), returns self for chaining

Remarks:

Calculate the inverse FFT from Vec elements [VecIndex]..[VecIndex+Len-1] and store the results in the calling object elements [Index]..[Index+Len-1]. The Len parameter must not be a power of two. Size and Dew.Math.Vector.Complex properties of the calling object must be set explicitly. An exception is raised if Dew.Math.Vector.ConditionCheck is True and array borders are overrun.

Note
This is the indexed version of the FFT routine . Look there for more information on FFT parameters and storage requirements.

See Also: Vector.IFFTToReal, Matrix.IFFT1DToReal