Stochastic
FIR filter using
SC
\label{stochastic-fir-filter-using-sc}
FIR filter which has a number of useful properties ( require no
feedback, be stable, easily be designed) is an interesting problem in
signal processing. It has been recently considered as an important
application in SC [6], denoted
Stochastic FIR filter. In this design, besides an appropriate number of
SNGs, it equally requires to employ the inner–product unit which
includes the XOR gates and a multiplexer. An M –order stochastic
FIR filter can be illustrated as
Fig.4.1.
D
x(n-1)
D
x(n-2)
seed0
seed1
h(0)
h(1)
Inner-product unit
y(n)
D
x(n-M)
seedM
h(M)
1/K
Figure 4.1: Implementation of M–order FIR filter using SC
In this architecture, the filter’s output can be mathematically given as