Digital Signal Processing Reference
In-Depth Information
CE 0
CE 1
CE N-1
x 2 = x 1 -
δ
1 2 -1 y 1
x N-1
x 1
cos
θ
N
d = x N
x 0 =k
-/+
-/+
-/+
N
x N-1 >>N-1
x i >> 1
y >> 1
y N-1 >>N-1
y 1
N
y 2 =
δ
1 2 -1 x 1 +y 1
sin
θ
d = y N
+/-
y 0 =0
+/-
_
+/-
_
y N-1
N
1
θ
θ
0 [N-1]
1
1
θ
0 =
θ
d
θ
1 [N-1]
θ
1 =
θ
d -
δ
0
∆θ
0
N
θ
θ
2 =
θ
1 -
δ
∆θ
~
0
θ
N
N-1
1
1
-/+
1
-/+
-/+
∆θ
∆θ
0 =tan -1 2 0
0
∆θ
N-1 =tan -1 2 -(N-1)
∆θ
1 =tan -1 2 -1
1 [N-1]
θ
1
θ
[N-1]
1
N-1
θ
0 [N-1]
sign_bit
Figure 12.10 FDA architecture of CORDIC as cascade of CEs
 
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