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Fast Fourier Transform – Velocities and Temp. (1 hour period)

Velocity spectrum Cell 3

Velocity spectrum Outer Harbour

Velocity spectrum EGap (data W. Snodgrass)

Temperature spectrum Toronto Island.


Notes:

The spectral analysis of the velocity time series show similar peaks for all the ADCP locations and bins.

Even the temperature spectral analysis in a Toronto Islands channel shows a strong peak for a period of T=1 hour (bottom right)

It is interesting to observe the data from the City of Toronto Water Infrastructure Management department (bottom left):

● They had a sampling period of half hour, which due to Nyquist theorem limits the accuracy of the spectral analysis to one hour period.

● However, we can still see the huge spike in the FFT plot close to the 1 hour period.

The magnitude of the peak for the spectal analysis of the Inner Harbour data suggests that Inner Harbour's natural oscillation frequency (eigen frequency) may have a period T = 1 h and its enhanced resonant oscillation may be the main driver of water exchange of the other embayments in Toronto Harbour.