Discrete Wavelet Transform, why downsample ?

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Discrete Wavelet Transform, downsampling and wavelet coefficients

Hi All,
i was reading about DWT in image processing, i found that in the analysis a signal is decomposed into levels, each level is downsampled by a factor of 2, is there any physical meaning or a certain reason to downsample an image or a signal by a factor of 2 ? , and the other question is what does the wavelet coefficients represent in a signal?
thanks in advance.
 
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The down sampling is to ensure that the transformed image subspace resolution after DWT is still same as the original image spatial resolution. This is referring to dyadic wavelet transform.
 

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