Intermediate frequency spectral placement of bandpass sampled signals

Abstract

Systems and methods for bandpass sampling of a continuous analog signal according to several embodiments can use a linear relationship between sampling frequency and intermediate frequency where fis the intermediate frequency and Fis the sampling frequency of the bandpass sampling, fis the carrier frequency, B is a bandwidth and fis an upper frequency for the signal, and n is an integer such that The sampling frequency Fcan be chosen first and the IF can be calculated without iteration using the relationship above. Or, when fis the most important design parameter, fcan be selected first, and sample frequencies which will not cause aliasing can be solved by calculating Fgiven IF using the equation above, for all values of n so that and then selecting a particular F. fcan be chosen to be F/4.