Sampling and Reconstruction of Analog Signals
Sampling and Reconstruction of Analog Signals
Sampling and Reconstruction of Analog Signals
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Cubic-order-hold (COH) interpolation<br />
• This approach uses spline interpolation for a smoother, but not<br />
necessarily more accurate, estimate <strong>of</strong> the analog signal between<br />
samples.<br />
• Hence this interpolation does not require an analog post-filter<br />
• The smoother reconstruction is obtained by using a set <strong>of</strong><br />
piecewise continuous third-order polynomials called cubic splines<br />
x<br />
a<br />
nT<br />
( t)<br />
s<br />
2<br />
= α ( n)<br />
+ α ( n)(<br />
t − nT ) + α ( n)(<br />
t − nT ) + α ( n)(<br />
t<br />
≤ t ≤<br />
0<br />
( n + 1) T<br />
1<br />
s<br />
s<br />
2<br />
s<br />
3<br />
− nT<br />
s<br />
)<br />
3<br />
,<br />
• Where {α i (n), 0
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