The short-time Hartley transform (STHT) is a powerful tool for the spe
ctral analysis of time-varying signals, where a portion of the signal
is extracted by windowing, and the Hartley transform of the windowed s
ignal is then taken. Moving the window by appropriate steps, the entir
e signal may be covered. The recursive short-time Hartley transform (R
STHT) developed in the Letter updates the new transform contents betwe
en two successive windowed frames, using less computation than that re
quired in directly evaluating the new transform. For some cases such a
s the Hamming, Hanning, and Blackman windows, the recursive formulas a
re also derived for demonstration.