FreeCalypso > hg > gsm-codec-lib
annotate libgsmefr/levinson.c @ 131:615f144b52c6
gsmefr-dec-parse utility written
| author | Mychaela Falconia <falcon@freecalypso.org> | 
|---|---|
| date | Sun, 11 Dec 2022 04:31:17 +0000 | 
| parents | 0e41ca9ebf45 | 
| children | 1cdbaeec7bcc | 
| rev | line source | 
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changeset | 1 /************************************************************************* | 
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changeset | 2 * | 
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changeset | 3 * FUNCTION: Levinson() | 
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changeset | 4 * | 
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changeset | 5 * PURPOSE: Levinson-Durbin algorithm in double precision. To compute the | 
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changeset | 6 * LP filter parameters from the speech autocorrelations. | 
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changeset | 7 * | 
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changeset | 8 * DESCRIPTION: | 
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changeset | 9 * R[i] autocorrelations. | 
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changeset | 10 * A[i] filter coefficients. | 
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changeset | 11 * K reflection coefficients. | 
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changeset | 12 * Alpha prediction gain. | 
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changeset | 13 * | 
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changeset | 14 * Initialisation: | 
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changeset | 15 * A[0] = 1 | 
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changeset | 16 * K = -R[1]/R[0] | 
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changeset | 17 * A[1] = K | 
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changeset | 18 * Alpha = R[0] * (1-K**2] | 
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changeset | 19 * | 
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changeset | 20 * Do for i = 2 to M | 
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changeset | 21 * | 
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changeset | 22 * S = SUM ( R[j]*A[i-j] ,j=1,i-1 ) + R[i] | 
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changeset | 23 * | 
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changeset | 24 * K = -S / Alpha | 
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changeset | 25 * | 
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changeset | 26 * An[j] = A[j] + K*A[i-j] for j=1 to i-1 | 
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changeset | 27 * where An[i] = new A[i] | 
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changeset | 28 * An[i]=K | 
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changeset | 29 * | 
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changeset | 30 * Alpha=Alpha * (1-K**2) | 
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changeset | 31 * | 
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changeset | 32 * END | 
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changeset | 33 * | 
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changeset | 34 *************************************************************************/ | 
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changeset | 35 | 
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changeset | 36 #include "gsm_efr.h" | 
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changeset | 37 #include "typedef.h" | 
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changeset | 38 #include "namespace.h" | 
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changeset | 39 #include "basic_op.h" | 
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changeset | 40 #include "oper_32b.h" | 
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changeset | 41 #include "no_count.h" | 
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changeset | 42 #include "sig_proc.h" | 
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changeset | 43 #include "cnst.h" | 
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changeset | 44 #include "enc_state.h" | 
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changeset | 45 | 
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changeset | 46 /* Lpc order == 10 */ | 
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changeset | 47 | 
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changeset | 48 #define M 10 | 
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changeset | 49 | 
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changeset | 50 void Levinson ( | 
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changeset | 51 struct EFR_encoder_state *st, | 
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changeset | 52 Word16 Rh[], /* (i) : Rh[m+1] Vector of autocorrelations (msb) */ | 
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changeset | 53 Word16 Rl[], /* (i) : Rl[m+1] Vector of autocorrelations (lsb) */ | 
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changeset | 54 Word16 A[], /* (o) : A[m] LPC coefficients (m = 10) */ | 
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changeset | 55 Word16 rc[] /* (o) : rc[4] First 4 reflection coefficients */ | 
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changeset | 56 | 
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changeset | 57 ) | 
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changeset | 58 { | 
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changeset | 59 Word16 i, j; | 
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changeset | 60 Word16 hi, lo; | 
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changeset | 61 Word16 Kh, Kl; /* reflexion coefficient; hi and lo */ | 
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changeset | 62 Word16 alp_h, alp_l, alp_exp; /* Prediction gain; hi lo and exponent */ | 
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changeset | 63 Word16 Ah[M + 1], Al[M + 1]; /* LPC coef. in double prec. */ | 
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changeset | 64 Word16 Anh[M + 1], Anl[M + 1];/* LPC coef.for next iteration in double | 
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changeset | 65 prec. */ | 
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changeset | 66 Word32 t0, t1, t2; /* temporary variable */ | 
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changeset | 67 | 
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changeset | 68 /* K = A[1] = -R[1] / R[0] */ | 
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changeset | 69 | 
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changeset | 70 t1 = L_Comp (Rh[1], Rl[1]); | 
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changeset | 71 t2 = L_abs (t1); /* abs R[1] */ | 
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changeset | 72 t0 = Div_32 (t2, Rh[0], Rl[0]); /* R[1]/R[0] */ | 
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changeset | 73 test (); | 
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changeset | 74 if (t1 > 0) | 
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changeset | 75 t0 = L_negate (t0); /* -R[1]/R[0] */ | 
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changeset | 76 L_Extract (t0, &Kh, &Kl); /* K in DPF */ | 
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changeset | 77 | 
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changeset | 78 rc[0] = round (t0); move16 (); | 
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changeset | 79 | 
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changeset | 80 t0 = L_shr (t0, 4); /* A[1] in */ | 
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changeset | 81 L_Extract (t0, &Ah[1], &Al[1]); /* A[1] in DPF */ | 
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changeset | 82 | 
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changeset | 83 /* Alpha = R[0] * (1-K**2) */ | 
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changeset | 84 | 
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changeset | 85 t0 = Mpy_32 (Kh, Kl, Kh, Kl); /* K*K */ | 
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changeset | 86 t0 = L_abs (t0); /* Some case <0 !! */ | 
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changeset | 87 t0 = L_sub ((Word32) 0x7fffffffL, t0); /* 1 - K*K */ | 
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changeset | 88 L_Extract (t0, &hi, &lo); /* DPF format */ | 
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changeset | 89 t0 = Mpy_32 (Rh[0], Rl[0], hi, lo); /* Alpha in */ | 
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changeset | 90 | 
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changeset | 91 /* Normalize Alpha */ | 
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changeset | 92 | 
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changeset | 93 alp_exp = norm_l (t0); | 
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changeset | 94 t0 = L_shl (t0, alp_exp); | 
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changeset | 95 L_Extract (t0, &alp_h, &alp_l); /* DPF format */ | 
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changeset | 96 | 
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changeset | 97 /*--------------------------------------* | 
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changeset | 98 * ITERATIONS I=2 to M * | 
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changeset | 99 *--------------------------------------*/ | 
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changeset | 100 | 
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changeset | 101 for (i = 2; i <= M; i++) | 
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changeset | 102 { | 
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changeset | 103 /* t0 = SUM ( R[j]*A[i-j] ,j=1,i-1 ) + R[i] */ | 
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changeset | 104 | 
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changeset | 105 t0 = 0; move32 (); | 
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changeset | 106 for (j = 1; j < i; j++) | 
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changeset | 107 { | 
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changeset | 108 t0 = L_add (t0, Mpy_32 (Rh[j], Rl[j], Ah[i - j], Al[i - j])); | 
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changeset | 109 } | 
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changeset | 110 t0 = L_shl (t0, 4); | 
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changeset | 111 | 
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changeset | 112 t1 = L_Comp (Rh[i], Rl[i]); | 
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changeset | 113 t0 = L_add (t0, t1); /* add R[i] */ | 
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changeset | 114 | 
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changeset | 115 /* K = -t0 / Alpha */ | 
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changeset | 116 | 
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changeset | 117 t1 = L_abs (t0); | 
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changeset | 118 t2 = Div_32 (t1, alp_h, alp_l); /* abs(t0)/Alpha */ | 
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changeset | 119 test (); | 
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changeset | 120 if (t0 > 0) | 
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changeset | 121 t2 = L_negate (t2); /* K =-t0/Alpha */ | 
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changeset | 122 t2 = L_shl (t2, alp_exp); /* denormalize; compare to Alpha */ | 
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changeset | 123 L_Extract (t2, &Kh, &Kl); /* K in DPF */ | 
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changeset | 124 | 
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changeset | 125 test (); | 
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changeset | 126 if (sub (i, 5) < 0) | 
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changeset | 127 { | 
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changeset | 128 rc[i - 1] = round (t2); move16 (); | 
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changeset | 129 } | 
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changeset | 130 /* Test for unstable filter. If unstable keep old A(z) */ | 
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changeset | 131 | 
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changeset | 132 if (sub (abs_s (Kh), 32750) > 0) | 
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changeset | 133 { | 
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changeset | 134 for (j = 0; j <= M; j++) | 
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changeset | 135 { | 
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changeset | 136 A[j] = st->old_A[j]; | 
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changeset | 137 } | 
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changeset | 138 | 
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changeset | 139 for (j = 0; j < 4; j++) | 
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changeset | 140 { | 
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changeset | 141 rc[j] = 0; | 
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changeset | 142 } | 
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changeset | 143 | 
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changeset | 144 return; | 
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changeset | 145 } | 
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changeset | 146 /*------------------------------------------* | 
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changeset | 147 * Compute new LPC coeff. -> An[i] * | 
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changeset | 148 * An[j]= A[j] + K*A[i-j] , j=1 to i-1 * | 
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changeset | 149 * An[i]= K * | 
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changeset | 150 *------------------------------------------*/ | 
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changeset | 151 | 
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changeset | 152 for (j = 1; j < i; j++) | 
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changeset | 153 { | 
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changeset | 154 t0 = Mpy_32 (Kh, Kl, Ah[i - j], Al[i - j]); | 
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changeset | 155 t0 = L_mac (t0, Ah[j], 32767); | 
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changeset | 156 t0 = L_mac (t0, Al[j], 1); | 
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changeset | 157 L_Extract (t0, &Anh[j], &Anl[j]); | 
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changeset | 158 } | 
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changeset | 159 t2 = L_shr (t2, 4); | 
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changeset | 160 L_Extract (t2, &Anh[i], &Anl[i]); | 
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changeset | 161 | 
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changeset | 162 /* Alpha = Alpha * (1-K**2) */ | 
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changeset | 163 | 
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changeset | 164 t0 = Mpy_32 (Kh, Kl, Kh, Kl); /* K*K */ | 
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changeset | 165 t0 = L_abs (t0); /* Some case <0 !! */ | 
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changeset | 166 t0 = L_sub ((Word32) 0x7fffffffL, t0); /* 1 - K*K */ | 
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changeset | 167 L_Extract (t0, &hi, &lo); /* DPF format */ | 
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changeset | 168 t0 = Mpy_32 (alp_h, alp_l, hi, lo); | 
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changeset | 169 | 
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changeset | 170 /* Normalize Alpha */ | 
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changeset | 171 | 
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changeset | 172 j = norm_l (t0); | 
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changeset | 173 t0 = L_shl (t0, j); | 
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changeset | 174 L_Extract (t0, &alp_h, &alp_l); /* DPF format */ | 
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changeset | 175 alp_exp = add (alp_exp, j); /* Add normalization to | 
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changeset | 176 alp_exp */ | 
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changeset | 177 | 
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changeset | 178 /* A[j] = An[j] */ | 
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changeset | 179 | 
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changeset | 180 for (j = 1; j <= i; j++) | 
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changeset | 181 { | 
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changeset | 182 Ah[j] = Anh[j]; move16 (); | 
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changeset | 183 Al[j] = Anl[j]; move16 (); | 
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changeset | 184 } | 
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changeset | 185 } | 
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changeset | 186 | 
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changeset | 187 A[0] = 4096; move16 (); | 
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changeset | 188 for (i = 1; i <= M; i++) | 
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changeset | 189 { | 
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changeset | 190 t0 = L_Comp (Ah[i], Al[i]); | 
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changeset | 191 st->old_A[i] = A[i] = round (L_shl (t0, 1)); | 
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changeset | 192 } | 
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changeset | 193 | 
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changeset | 194 return; | 
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changeset | 195 } | 
