  The astrophysical stochastic gravitational wave background (SGWB) originates
from numerous faint sub-threshold gravitational wave (GW) signals arising from
the coalescing binary compact objects. This background is expected to be
discovered from the current (or next-generation) network of GW detectors by
cross-correlating the signal between multiple pairs of GW detectors. However,
detecting this signal is challenging and the correlation is only detectable at
low frequencies due to the arrival time delay between different detectors. In
this work, we propose a novel technique, \texttt{Spectrogram Correlated
Stacking} (or \texttt{SpeCs}), which goes beyond the usual cross-correlation
(and to higher frequencies) by exploiting the higher-order statistics in the
time-frequency domain which accounts for the \textit{chirping} nature of the
individual events that comprise SGWB. We show that \texttt{SpeCs} improves the
signal-to-noise for the detection of SGWB by a factor close to $8$, compared to
standard optimal cross-correlation methods which are tuned to measure only the
power spectrum of the SGWB signal.\texttt{SpeCs} can probe beyond the power
spectrum and its application to the GW data available from the current and
next-generation GW detectors would speed up the SGWB discovery.
