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Perfect reconstruction.

Fig. 2 Perfect reconstruction process: BER vs. SNR Fig. 3 Perfect reconstruction process: BER vs. SNR.

In addition, the perfect reconstruction conditions are derived.

This condition is called the perfect reconstruction [17].

An MDFT filter bank with has perfect reconstruction.

It holds the perfect reconstruction in the E2E case.

Perfect reconstruction can be achieved without a synthesis window.

Therefore, the proposed AMULW fits the perfect reconstruction condition.

Fig. 1 Perfect reconstruction process: BER vs. SNR.

A popular method for subband analysis uses wavelet filters which achieve perfect reconstruction [30] but other perfect reconstruction filterbanks can be used instead.

In this case, perfect reconstruction from compressed measurements is not expected.