Multi-channel sampling and reconstruction of bandlimited two-dimensional signals
Jerram L. Brown · 2003
A deterministic two-dimensional bandlimited signal x(t/sub 1/, t/sub 2/) is used as a common input to m linear shift-invariant 2-D filters (channels). For m=m/sub 1/.m/sub 2/, the m channel outputs are 'downsampled' at rates in t/sub 1/ and t/sub 2/ that are reduced by factors of m/sub 1/ and m/sub 2/ respectively from the usual Nyquist rates required for input sample reconstruction. It is shown that if the transfer functions of the m-channels are 'independent', then the input x(t) is uniquely recoverable from the channel output samples taken at the indicated rates. Moreover, the recovery can be effected by the use of m linear shift-invariant post-filters.>