Multi Resolution STFT for audio I am looking at trying to achieve a multi resolution STFT analysis on a log sine sweep audio measurement.  

I have an impulse, and I would like to perform two different windowed length  FFTs on the impulse.  

The shorter window length will determine the crossover frequency of the two results. So the this short windowed signal FFT will supply the complex result for x frequency and above.  

The longer window will provide all of the results below x.  Although, I am trying to understand how to properly achieve this and synthesise the end result.  Do I need to low pass the longer window before the FFT,  if so, how do I achieve this? 

And then how do I put the two results together?
I've done multi-resolution spectrograms before, so they're not impossible (a unicorn).  One method is to zero-pad the shorter data window (for better time locality resolution) to the same length FFT as the longer data window (for greater frequency resolution).  Then you can simply scale for window length, and cross-fade the two sets of FFT magnitude results over some frequency range.  

Another possibility (instead of zero-padding) is to use interpolation of the lower frequency FFT or lower time resolution FFT results to create more possibilities for a higher density of spectrogram plot points.

One academic paper suggested computing the local vertical and horizontal contrasts at each spectrogram point and dynamically picking the FFT set with the highest contrast (over the vertical for narrow frequency spectra or across the horizontal for short time events) to plot at each point.

If you keep both (or more!) sets of (overlapped) STFTs, your transform isn't lossy, but redundant, and the resulting image can use that redundancy to obscure less information, usually due to graphical blurring/plotting with typical linear interpolation and/or non-linear color mapping.

Even for reconstruction you can use both sets of data, for instance feeding the short IFFTs to a tweeter and the longer IFFTs to a sub-woofer, with a cross-over in the middle (be careful of phase).