Abstract
Sampling frequency selection is a key issue in direct digitalization of the radio frequency (RF) signals. In this paper, we propose a cylindrical surface spectrum and arc distance-based sampling frequency selection method for multiband RF signals. In this method, a 3D visual expression of cylindrical surface spectrum of digital signal is introduced. This expression reflects better the circulatory nature of the spectrum of digital signals. It is found more intuitive, heuristic, and effective in dealing with undersampling issues of multiband RF signals than conventional spectrum expressions are. A function of arc distance between two frequency bands are also introduced which turns out to be useful in the determination of sampling frequency and design of digital filters.
Highlights
In the application of modern electronic technology, sampling from continuous signal to obtain digital signal has become one of the most common technologies
As for the baseband signal, the Nyquist criterion requires that the sampling frequency must be more than twice the upper limit of analog signal frequency band, which has long been well known in engineering design
The same analog signal is illustrated in Fig. 3c; the half sampling frequency is below the highest frequency of the spectrum
Summary
In the application of modern electronic technology, sampling from continuous (analog) signal to obtain digital signal has become one of the most common technologies. With the cylindrical surface spectrum tool, the concept of arc distance between digital signal frequency bands is introduced. XðωÞ 1⁄4 ⋯ þ V ðω þ 2πÞ þ V ðωÞ þ V ðω−2πÞ þ ⋯ X∞
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