  Below the acoustic cut-off frequency, oscillations are trapped within the
solar interior and become resonant. However, signatures of oscillations persist
above the acoustic cut-off frequency, and these travelling waves are known as
pseudomodes. Acoustic oscillation frequencies are known to be correlated with
the solar cycle, but the pseudomode frequencies are predicted to vary in
anti-phase. We have studied the variation in pseudomode frequencies with time
systematically through the solar cycle. We analyzed Sun-as-a-star data from
Variability of Solar Irradiance and Gravity Oscillations (VIRGO), and Global
Oscillations at Low Frequencies (GOLF), as well as the decomposed data from
Global Oscillation Network (GONG) for harmonic degrees $0\le l \le 200$. The
data cover over two solar cycles (1996--2021, depending on instrument). We
split them into overlapping 100-day long segments and focused on two frequency
ranges, namely $5600$--$6800\,\rm\mu Hz$ and $5600$--$7800\,\rm\mu Hz$. The
frequency shifts between segments were then obtained by fitting the
cross-correlation function between the segments' periodograms. For VIRGO and
GOLF, we found no significant variation of pseudomode frequencies with solar
activity. However, in agreement with previous studies, we found that the
pseudomode frequency variations are in anti-phase with the solar cycle for GONG
data. Furthermore, the pseudomode frequency shifts showed a double-peak feature
at their maximum, which corresponds to solar activity minimum, and is not seen
in solar activity proxies. An, as yet unexplained, pseudo-periodicity in the
amplitude of the variation with harmonic degree $l$ is also observed in the
GONG data.
