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We compute the spherically-averaged power spectrum from four seasons of dataobtained for the Epoch of Reionisation (EoR) project observed with theMurchison Widefield Array (MWA). We measure the EoR power spectrum over $k=0.07-3.0~h$Mpc$^{-1}$ at redshifts $z=6.5-8.7$. The largest aggregation of 110hours on EoR0 high-band (3,340 observations), yields a lowest measurement of(43~mK)$^2$ = 1.8$\times$10$^3$ mK$^2$ at $k$=0.14~$h$Mpc$^{-1}$ and $z=6.5$(2$\sigma$ thermal noise plus sample variance). Using the Real-Time System tocalibrate and the CHIPS pipeline to estimate power spectra, we select the bestobservations from the central five pointings within the 2013--2016 observingseasons, observing three independent fields and in two frequency bands. Thisyields 13,591 2-minute snapshots (453 hours), based on a quality assurancemetric that measures ionospheric activity. We perform another cut to removepoorly-calibrated data, based on power in the foreground-dominated andEoR-dominated regions of the two-dimensional power spectrum, reducing the setto 12,569 observations (419 hours). These data are processed in groups of 20observations, to retain the capacity to identify poor data, and used to analysethe evolution and structure of the data over field, frequency, and dataquality. We subsequently choose the cleanest 8,935 observations (298 hours ofdata) to form integrated power spectra over the different fields, pointings andredshift ranges.

Deep multi-redshift limits on Epoch of Reionisation 21cm Power Spectra from Four Seasons of Murchison Widefield Array Observations