In the last two and a half decades there has been an increasing body of work on the micro- Doppler effect for various applications. Researchers used micro-Doppler signatures to analyze, classify and detect human gait, hovering helicopters and wind-turbines, as well as jet engine modulation (JEM) to detect jet aircrafts. In recent years, the use of the micro-Doppler effect has expanded and taken also to the monitoring of biological signals. Researchers started investigating the use of the effect to extract vital signs such as breathing and heartbeat. The employment of various algorithms, such as the Chirp Z Transform and Fourier analysis, has been advocated. Multiple radars have been investigated in this context, from UWB and X-Band, to 24, 60, and 77GHz radar bands. The methods developed suffer from insufficient spectral resolution, as Fourier analysis type algorithms need a large time- window of data to support a certain resolution. Another caveat is the fact that the respiration frequency is lower than the heart-beat, while its amplitude is much larger coupled with inherent nonlinearities in the radar hardware, rendering the spectrum of the signal densely populated with harmonics of both the respiration and heartbeat and their inter-modulations. This tutorial will give an introduction to micro-Doppler with the derivation of the micro-Doppler effect of a vibrating target with a live-demo of radar based vital signs extraction from afar.