Random sampling and approximation of signals with bounded derivatives
Random sampling and approximation of signals with bounded derivatives
Approximation of analog signals from noisy samples is a fundamental, but nevertheless difficult problem. This paper addresses the problem of approximating functions in $H_{\gamma , \varOmega }$ from randomly chosen samples, where $$ H_{\gamma , \varOmega }= \bigl\{ f \mid f\mbox{ is continuous on } \overline{\varOmega }, \mbox{and } \|D …