CentralNotice Fourier transform From Wikipedia, the free encyclopedia Jump to: navigation , search A sinusoidal curve, with peak amplitude (1). Illustration of phase shift θ . In the first row is the graph of the unit pulse function and its Fourier transform , a function of frequency . Translation (that is, delay) in the time domain goes over to complex phase shifts in the frequency domain. In the second row is shown , the a delayed unit pulse, beside the real and imaginary parts of the Fourier transform. The Fourier transform decomposes a function into eigenfunctions for the group of translations. Fourier transforms Continuous Fourier transform Fourier series Discrete-time Fourier transform Discrete Fourier transform Fourier analysis Related transforms The Fourier transform decomposes a function of time ...