Umutesi Faith wrote:

> Ok, i will try and see what results i get! By the way i did not understand
> what you meant by "least squares sense optimal reconstruction"!
> Thanks!
> 
> ******************************************************************
> 
> 
>>Yes. Reconstruction will lead to least squares sense optimal
> reconstruction
>>when those coefficients set to zero are not available.
>>
>>--
>>Jani Huhtanen
>>
>>

If one considers the zeroed coefficients as missing, then straightforward
reconstruction leads to minimum error in least squares sense. This, because
we are dealing with orthogonal projection (well, actually this might not
hold for biorthogonal case).

-- 
Jani Huhtanen
Tampere University of Technology, Pori

Ok, i will try and see what results i get! By the way i did not understand
what you meant by "least squares sense optimal reconstruction"!
Thanks!

******************************************************************


>Yes. Reconstruction will lead to least squares sense optimal
reconstruction
>when those coefficients set to zero are not available.
>
>-- 
>Jani Huhtanen
>
>

Umutesi Faith wrote:

> 
> Hello
> 
> I am trying to do some data compression using the DWT techniques but i
> have encoutered some problems. Once i have set the threshold values, all
> the DWT coefficients that were less than the chosen value were reduced to
> zero which was the purpose. But on the other hand i would like to
> reconstruct the signal using only the remained coefficients without using
> those coefficients replaced with zeroes. This also will affect the length
> of the signal ( the number of samples). IS it possible (or correct) to
> just reconstruct the signal with the remained samples?
> 
> Thanks

Yes. Reconstruction will lead to least squares sense optimal reconstruction
when those coefficients set to zero are not available.

-- 
Jani Huhtanen

Hello

I am trying to do some data compression using the DWT techniques but i
have encoutered some problems. Once i have set the threshold values, all
the DWT coefficients that were less than the chosen value were reduced to
zero which was the purpose. But on the other hand i would like to
reconstruct the signal using only the remained coefficients without using
those coefficients replaced with zeroes. This also will affect the length
of the signal ( the number of samples). IS it possible (or correct) to
just reconstruct the signal with the remained samples?

Thanks