A method for demodulating an RF signal to polar in-phase and quadrature (IQ) components that includes converting an RF signal with an analog-to-digital converter and calculating the polar in-phase and quadrature (IQ) components of the RF signal as an IQ phasor phase angle and an IQ amplitude using a digital processor. The analog-to-digital converter uses a sampling rate, where, when the sampling rate used has sampling rates other than 3 times an RF carrier frequency of the RF signal, a digital logic circuit splines data to the sampling rate of 3 times the RF carrier frequency of the RF signal. The digital processor calculates the polar in-phase and quadrature (IQ) components of the RF signal as an IQ phasor phase angle and an IQ amplitude using addition, subtraction, multiplication, division, and absolute value.