Generalized Sampling-Based Multi-Channel Sampling of Signals Realized With Pure Delay Analog Filters and Digital FIR Reconstruction Filters

This brief presents a technique that facilitates high speed analog-to-digital conversion based on the multi-channel sampling of analog signals using the concept of Generalized Sampling and based on pure delay analog front-end filters and
$i$
-taps digital FIR reconstruction filter for the
$i^{th}$
-channel. The digital FIR reconstruction filters are chosen in a manner that a closed form expression of the front-end analog filters can be obtained by inverting a Vandermonde matrix whose inverse can be written as a product
$\mathbf {U}^{-1}\mathbf {L}^{-1}$
of two triangular matrices, viz. upper triangular matrix
$\mathbf {U}$
and lower triangular matrix
$\mathbf {L}$
.