  Weak value amplification is a classical phenomenon that can enhance the
sensitivity of a measurement through clever use of interference. The most
well-known paradigm of weak value amplification makes use of a Gaussian pulse,
which is typical of pulsed laser systems. In this Letter we show that chirped
pulses have a great advantage over Gaussians at detecting frequency shifts
thanks to the large phase space area that they cover. As an example, we show
that within the typical operative parameters of a radar, we can achieve two
orders of magnitude amplification of small frequency shifts \emph{on top of the
weak value amplification}. This idea could lead to new metrological avenues in
the microwave optics domain, and to Doppler radar technology with unprecedented
sensitivity.

Quantum Physics