Nyquist is not Shannon: why more samples does not mean more information
Digital engineers are trained to treat “more” as a default win: higher clock rates, wider bandwidths, deeper bit depths. Applied to analog-to-digital conversion, the …
Digital engineers are trained to treat “more” as a default win: higher clock rates, wider bandwidths, deeper bit depths. Applied to analog-to-digital conversion, the …
Modern AI is often framed as a clean break from classical engineering. For anyone who has worked in adaptive signal processing, that framing is misleading. The mathematical spine …
The Wiener filter has a clean claim: among all linear filters operating on wide-sense stationary input, it produces the minimum mean-square estimation error. That claim has a …
Every communication system starts with the same goal: move a signal from one place to another and recover its meaning at the far end. In practice the signal passes through copper, …
I spent years implementing LMS-based equalizers and echo cancellers in telecommunications. Only later did I fully appreciate what I had been doing mathematically: the same family …
I was listening to a podcast the other day about AI and the mathematics behind it — especially stochastic processes, entropy, and probability — and it immediately drew me in. With …