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RM0020 Fiches technique(PDF) 56 Page - STMicroelectronics

No de pièce RM0020
Description  SPC56xx DSP function library 2
PDF  69 Pages
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Fabricant  STMICROELECTRONICS [STMicroelectronics]
Site Internet  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

RM0020 Fiches technique(HTML) 56 Page - STMicroelectronics

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Function API
RM0020
56/69
Description:
Computes the second-order IIR filter on frac16 data. The input samples are stored in
the array x, output samples are written to the array y. The filter coefficients are stored
in the array c divided by 2. There is used the arithmetic with saturation so the output
will never overflow.
Algorithm:
Equation 51
for each n from 0 to N-1
Note: The routine requires these conditions are met:
-1 =< b1/2-a1*b0/2 < 1
-1 =< b2/2-a1*b1/2 < 1
-1 =< -a1*b2/2 < 1
-1 =< a2/2-a1*a1/2 < 1
-1 =< -a1*a2/2 < 1
Performance: See Section 7 and Table 61.
Example 30. iir_frac16_2nd_hc
#include "libdsp2.h"
/* #pragma and ALIGN macros used to align to 4 bytes */
#ifdef __ghs__
#pragma alignvar (4)
#endif
ALIGN_DCC(4)
short x[256] ALIGN_MWERKS(4);
#ifdef __ghs__
#pragma alignvar (4)
#endif
ALIGN_DCC(4)
short y[256] ALIGN_MWERKS(4);
Table 30.
iir_frac16_2nd_hc arguments(1)
1.
The x,y,c,s data are in fractional 16-bit format in range -1 to 1. The arrays x,y,s must be word
aligned, the array c must be half-word aligned (implicit alignment of short data). There must be 4
bytes of readable memory behind the array x. There are returned new values of x(-2), x(-1), y(-2),
y(-1) in the array s to be ready for next function call.
Nin
number of input and output samples (N must be multiple of 4, N must
be >= 8)
x
in
array of input samples of length N, x(0) x(1) ... x(N-1)
y
out
array of output samples of length N, y(0) y(1) ... y(N-1)
cin
array of filter coefficients divided by 2, c[5] = {b(0)/2, b(1)/2, b(2)/2,
a(1)/2, a(2)/2}
s
in/out
array of previous input and output values (state vector), s[4] = {x(-2),
x(-1), y(-2), y(-1)}
yn

2
b0

2
-----------xn
 b1

2
-----------xn 1
 b2

2
-----------xn 2
 a1

2
-----------yn 1

a2

2
-----------yn 2

++


=



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