Generalized Sampling Theorem for Bandpass Signals

Generalized Sampling Theorem for Bandpass Signals

The reconstruction of an unknown continuously defined function f (t) from the samples of the responses of m linear timeinvariant (LTI) systems sampled by the 1/mth Nyquist rate is the aim of the generalized sampling. Papoulis (1977) provided an elegant solution for the case where f (t) is a band-limited function with finite energy and the sampling rate is equal to 2/m times cutoff frequency. In...

The Sampling Theorem and the Bandpass Theorem

A Generalized Sampling Theorem for Frequency Localized Signals

A generalized sampling theorem for frequency localized signals is presented. The generalization in the proposed model of sampling is twofold: (1) It applies to various prefilters effecting a ”soft” bandlimitation, (2) an approximate reconstruction from sample values rather than a perfect one is obtained (though the former might be ”practically perfect” in many cases). For an arbitrary finite-en...

Sampling and Multirate Techniques for Complex and Bandpass Signals

Generalized Bandpass Sampling Receivers for Software Defined Radio

Based on different sampling theorem, for example classic Shannon’s sampling theo-rem and Papoulis’ generalized sampling theorem, signals are processed by the sam-pling devices without loss of information. As an interface between radio receiverfront-ends and digital signal processing blocks, sampling devices play a dominantrole in digital radio communications.Under the concep...