Phil Leigh wrote: > and so on. Any sound no matter how complex can be represented by the > correct sequence of numbers.
Or more exactly, Joseph Fourier (1768–1830), French mathematician and genus showed that any signal, audio, light, etc. no matter how complex, can be exactly represented by a by sums of simpler trigonometric functions. Well, there wasn't much audio in existence in his lifetime, so others built on his foundation. The analysis of these functions leads to Fourier series, Fourier transforms, and in specific, Fourier transforms, which for practical reaons, means FFT (Fast Fourier Transforms) > To perform DSP other than basic level control such as volume or > fade-in/out (e.g. EQ) requires much more complex mathematics than just > adding or subtracting a FIXED number to EVERY sample. The DSP function > determines by how much to alter each sample. All of the fancy stuff is done using FFTs. What the bread and butter DSP functions do is implement FFTs in hardware, or the basics of the FFT in hardware so that firmware/software can do magic. The math is not that complex, anyone with college level calculus can understand the basics. Its one of the fundamental concepts of modern science. -- Pat Farrell http://www.pfarrell.com/ _______________________________________________ audiophiles mailing list audiophiles@lists.slimdevices.com http://lists.slimdevices.com/mailman/listinfo/audiophiles
