  Cosmic evolution in the hydrogen content of the Universe through
recombination and up to the end of reionization is expected to be revealed as
subtle spectral features in the uniform extragalactic cosmic radio background.
The redshift evolution in the excitation temperature of the 21-cm spin flip
transition of neutral hydrogen appears as redshifted emission and absorption
against the cosmic microwave background. The precise signature of the spectral
trace from cosmic dawn and the epoch of reionization are dependent on the
spectral radiance, abundance and distribution of the first bound systems of
stars and early galaxies, which govern the evolution in the spin-flip level
populations. Redshifted 21 cm from these epochs when the spin temperature
deviates from the temperature of the ambient relic cosmic microwave background
results in an all-sky spectral structure in the 40-200 MHz range, almost wholly
within the band of SKA-Low. Another spectral structure from gas evolution is
redshifted recombination lines from epoch of recombination of hydrogen and
helium; the weak all-sky spectral structure arising from this event is best
detected at the upper end of the 350-3050 MHz band of SKA-mid. Total power
spectra of SKA interferometer elements form the measurement set for these faint
signals from recombination and reionization; the inter-element interferometer
visibilities form a calibration set. The challenge is in precision polarimetric
calibration of the element spectral response and solving for additives and
unwanted confusing leakages of sky angular structure modes into spectral modes.
Herein we discuss observing methods and design requirements that make possible
these all-sky SKA measurements of the cosmic evolution of hydrogen.
