Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about ...

Comprehensive introduction to analysis of continuous and discrete-time signals and systems. Linear time-invariant systems, convolution; Fourier series representations of periodic signals; Continuous ...

This is a preview. Log in through your library . Abstract The discrete Fourier-cosine transform (cos-DFT), the discrete Fourier-sine transform (sin-DFT) and the discrete cosine transform (DCT) are ...

SIAM Journal on Applied Mathematics, Vol. 41, No. 2 (Oct., 1981), pp. 222-226 (5 pages) In this paper we show that finite commutative rings with unity generated by an invertible element can be ...

When you listen to digital music, the harmonies and chords that you hear have probably been reconstructed from a file that stored them as components of different frequencies, broken down by a process ...