Abstract
This paper presents a one-input <i>M</i>-output (1 x M) circuit configuration and a synthesis algorithm for
realizing an optical finite impulse response (FIR) lattice filter having <i>M</i> output channels (M ≥ 2). The circuit configuration has a multilayer
structure consisting of multiple Mach–Zehnder interferometers with delay
time differences of zero or Δτ. It is a natural extension of the conventional two-port optical
FIR lattice circuit (M = 2).
The proposed synthesis algorithm is based on factorizations of the paraunitary
total transfer matrix. It realizes output responses having highest orders
equal to the number of stages for all output channels. It is shown that such
a synthesis algorithm maximizes the degrees of freedom for designing output
responses. Two kinds of five-channel interleave filters are demonstrated as
synthesized examples: one has a flat group delay response while the other
has an inclined group delay response.
© 2008 IEEE
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