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 f IF = ( - 1 ) n + 1 ⁢ ( - ⌊ n 2 ⌋ ⁢ F S ⁢ + f C ) where fIF is the intermediate frequency and FS is the sampling frequency of the bandpass sampling, fC is the carrier frequency, B is a bandwidth and fU is an upper frequency for the signal, and n is an integer such that 1 ≤ n ≤ ⌊ f U B ⌋ . The sampling frequency FS can be chosen first and the IF can be calculated without iteration using the relationship above. Or, when fIF is the most important design parameter, fIF can be selected first, and sample frequencies which will not cause aliasing can be solved by calculating FS given IF using the equation above, for all values of n so that 1 ≤ n ≤ ⌊ f U B ⌋ , and then selecting a particular FS. fIF can be chosen to be FS/4.