Cleve’s Corner: Cleve Moler on Mathematics and Computing

Touch-Tone Telephone Dialing 8

Posted by Cleve Moler,

We all use Fourier analysis every day without even knowing it. Cell phones, disc drives, DVDs, and JPEGs all involve fast finite Fourier transforms. This post, which describes touch-tone telephone dialing, is the first of three posts about the computation and interpretation of FFTs. The posts are adapted from chapter 8 of my book, Numerical Computing with MATLAB .... read more >>

Floating Point Denormals, Insignificant But Controversial

Posted by Cleve Moler,

Denormal floating point numbers and gradual underflow are an underappreciated feature of the IEEE floating point standard. Double precision denormals are so tiny that they are rarely numerically significant, but single precision denormals can be in the range where they affect some otherwise unremarkable computations. Historically, gradual underflow proved to be very controversial during the committee deliberations that developed the standard.... read more >>

These postings are the author's and don't necessarily represent the opinions of MathWorks.