Phasor iq demodulation

A method for demodulating an RF signal to polar in-phase and quadrature (IQ) components, comprising:

• converting an RF signal with an analog-to-digital converter using a sampling rate of 3 times an RF carrier frequency of the RF signal, wherein, when the sampling rate is not 3 times the RF carrier frequency of the RF signal, a digital logic circuit performs a spline interpolation function on the RF signal to shift the sampling rate to 3 times the RF carrier frequency of the RF signal;
• using a shaped bandpass filter after the digital logic circuit performs the spline interpolation function, wherein, for each sample RF signal, the shaped bandpass filter calculates a mean value of i) a sample RF signal value, ii a negative of a sum of a previous sample and an upcoming sample, iii) a negative value of a sum of two previous samples, and iv) a negative of a sum of two upcoming samples, and wherein the shaped band pass filter iteratively filters one or more times;
• 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, wherein the calculations consist of addition, subtraction, multiplication, division, and absolute value.