  Recently it has been shown that the intensity time-bandwidth product of
optical signals can be engineered to match that of the data acquisition
instrument. In particular, it is possible to slow down an ultrafast signal,
resulting in compressed RF bandwidth - a similar benefit to that offered by the
Time-Stretch Dispersive Fourier Transform (TS-DFT) - but with reduced temporal
record length leading to time-bandwidth compression. The compression is
implemented using a warped group delay dispersion leading to non-uniform time
stretching of the signal's intensity envelope. Decoding requires optical phase
retrieval and reconstruction of the input temporal profile, for the case where
information of interest is resides in the complex field. In this paper, we
present results on the general behavior of the reconstruction process and its
dependence on the signal-to-noise ratio. We also discuss the role of chirp in
the input signal.
