A new truncated fourier transform algorithm

Truncated Fourier Transforms (TFTs), first introduced by van der Hoeven, refer to a family of algorithms that attempt to smooth ``jumps'' in complexity exhibited by FFT algorithms. We present an in-place TFT whose time complexity, measured in terms of ring operations, is asymptotically equivalent to existing not-in-place TFT methods. We also describe a transformation that maps between two families of TFT algorithms that use different sets of evaluation points.