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Let m n<br />

where T<br />

The error signal is<br />

e<br />

e<br />

n mn mqn<br />

1<br />

qn<br />

sgn(<br />

en<br />

)<br />

qn mqn<br />

1 eqn<br />

m nis<br />

m<br />

where<br />

s<br />

m(<br />

nT<br />

q<br />

)<br />

, n 0, 1,<br />

2,<br />

<br />

is the sampling period and m(<br />

nT ) is a sample of<br />

the quantizer output , e<br />

the quantized version of e<br />

s<br />

n<br />

(3.52)<br />

(3.53)<br />

(3.54)<br />

q<br />

n<br />

is<br />

, and is the step size<br />

s<br />

m(<br />

t).<br />

The modulator consists of a comparator, a quantizer, and an accumulator<br />

The output of the accumulator is<br />

m<br />

q<br />

n<br />

<br />

<br />

<br />

n<br />

n<br />

i1<br />

<br />

i1<br />

e<br />

<br />

sgn( e i )<br />

q<br />

i<br />

(3.55)

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