COEFFICIENT CALCULATION
The method chosen for coefficient calculations was the window method
employing the Blackman Window because of its high attenuation factor. A
Digital Filter Development software called MultiDSP Digital Filter
Design. This software was a student version which enabled only 63
coefficients to be generated at a maximum. The calculated number of
coefficients for this filter is 265. The number of bits the coefficients
were quantized to were 24 bits. The coefficients are shown below:
************************* FILTER SPECIFICATION
*************************
FILTER TYPE : BAND PASS
FILTER SYMMETRY : SYMMETRIC
DESIGN APPROACH : WINDOW METHOD
WINDOW OPTION : BLACKMAN WINDOW
GAIN : MAXIMUM GAIN OF 1.0
QUANTIZATION : 24 BIT FIXED POINT
FILTER TAP : 63 Taps
SAMPLING FREQUENCY : 48000 Hz
PASSBAND CUTOFF FREQ 1 : 15000 Hz
PASSBAND CUTOFF FREQ 2 : 16000 Hz
STOPBAND CUTOFF FREQ 1 : 14000 Hz
STOPBAND CUTOFF FREQ 2 : 17000 Hz
PASSBAND RIPPLE : 0.500 dB
STOPBAND RIPPLE : 50.000 dB
************************* BEFORE QUANTIZATION
**************************
************** UNQUANTIZED IMPULSE RESPONSE COEFFICIENTS
***************
2.714995949E-19 /* COEFFICIENT 0, COEFFICIENT 62 */
6.348643163E-06 /* COEFFICIENT 1, COEFFICIENT 61 */
3.939484940E-05 /* COEFFICIENT 2, COEFFICIENT 60 */
-1.124284746E-04 /* COEFFICIENT 3, COEFFICIENT 59 */
3.280646976E-05 /* COEFFICIENT 4, COEFFICIENT 58 */
1.506520083E-04 /* COEFFICIENT 5, COEFFICIENT 57 */
-1.328757371E-04 /* COEFFICIENT 6, COEFFICIENT 56 */
-4.337752824E-21 /* COEFFICIENT 7, COEFFICIENT 55 */
-2.759598629E-04 /* COEFFICIENT 8, COEFFICIENT 54 */
6.648689100E-04 /* COEFFICIENT 9, COEFFICIENT 53 */
3.244345603E-04 /* COEFFICIENT 10, COEFFICIENT 52 */
-2.763367038E-03 /* COEFFICIENT 11, COEFFICIENT 51 */
2.975420303E-03 /* COEFFICIENT 12, COEFFICIENT 50 */
2.563065753E-03 /* COEFFICIENT 13, COEFFICIENT 49 */
-9.466794531E-03 /* COEFFICIENT 14, COEFFICIENT 48 */
6.469397439E-03 /* COEFFICIENT 15, COEFFICIENT 47 */
9.494757604E-03 /* COEFFICIENT 16, COEFFICIENT 46 */
-2.176452156E-02 /* COEFFICIENT 17, COEFFICIENT 45 */
8.841342829E-03 /* COEFFICIENT 18, COEFFICIENT 44 */
2.382572308E-02 /* COEFFICIENT 19, COEFFICIENT 43 */
-3.828278312E-02 /* COEFFICIENT 20, COEFFICIENT 42
*OEFFICIENT 0 = 1.000000000E+00 = COEFFICIENT 62
COEFFICIENT 1 = 9.957970570E-01 = COEFFICIENT 61
COEFFICIENT 2 = 9.832815956E-01 = COEFFICIENT 60
COEFFICIENT 3 = 9.627307035E-01 = COEFFICIENT 59
COEFFICIENT 4 = 9.345962593E-01 = COEFFICIENT 58
COEFFICIENT 5 = 8.994904289E-01 = COEFFICIENT 57
COEFFICIENT 6 = 8.581661408E-01 = COEFFICIENT 56
COEFFICIENT 7 = 8.114932836E-01 = COEFFICIENT 55
COEFFICIENT 8 = 7.604315260E-01 = COEFFICIENT 54
COEFFICIENT 9 = 7.060007887E-01 = COEFFICIENT 53
COEFFICIENT 10 = 6.492504730E-01 = COEFFICIENT 52
COEFFICIENT 11 = 5.912285972E-01 = COEFFIC273516062E-02 =
COEFFICIENT 38
COEFFICIENT 25 = 3.740269940E-02 = COEFFICIENT 37
COEFFICIENT 26 = 2.514381255E-02 = COEFFICIENT 36
COEFFICIENT 27 = 1.563844754E-02 = COEFFICIENT 35
COEFFICIENT 28 = 8.591446951E-03 = COEFFICIENT 34
COEFFICIENT 29 = 3.751654200E-03 = COEFFICIENT 33
COEFF43E-02 /* COEFFICIENT 20, COEFFICIENT 42 */
6.210189198E-03 /* COEFFICIENT 21, COEFFICIENT 41 */
4.571707337E-02 /* COEFFICIENT 22, COEFFICIENT 40 */
-5.408606188E-02 /* COEFFICIENT 23, COEFFICIENT 39 */
-4.563523902E-03 /* COEFFICIENT 24, COEFFICIENT 38 */
7.088827121E-02 /* COEFFICIENT 25, COEFFICIENT 37 */
-6.246727335E-02 /* COEFFICIENT 26, COEFFICIENT 36 */
-2.293951047E-02 /* COEFFICIENT 27, COEFFICIENT 35 */
9.138002032E-02 /* COEFFICIENT 28, COEFFICIENT 34 */
-5.876849340E-02 /* COEFFICIENT 29, COEFFICIENT 33 */
-4.361423565E-02 /* COEFFICIENT 30, COEFFICIENT 32 */
9.930989521E-02 /* COEFFICIENT 31 */
********* HEX MODE OF QUANTIZED IMPULSE RESPONSE COEFFICIENTS
**********
0 /* COEFFICIENT 0, COEFFICIENT 62 */
34 /* COEFFICIENT 1, COEFFICIENT 61 */
14A /* COEFFICIENT 2, COEFFICIENT 60 */
FFFC52 /* COEFFICIENT 3, COEFFICIENT 59 */
112 /* COEFFICIENT 4, COEFFICIENT 58 */
4EF /* COEFFICIENT 5, COEFFICIENT 57 */
FFFBA6 /* COEFFICIENT 6, COEFFICIENT 56 */
0 /* COEFFICIENT 7, COEFFICIENT 55 */
FFF6F6 /* COEFFICIENT 8, COEFFICIENT 54 */
15C9 /* COEFFICIENT 9, COEFFICIENT 53 */
AA0 /* COEFFICIENT 10, COEFFICIENT 52 */
FFA574 /* COEFFICIENT 11, COEFFICIENT 51 */
617F /* COEFFICIENT 12, COEFFICIENT 50 */
53FB /* COEFFICIENT 13, COEFFICIENT 49 */
FEC9CC /* COEFFICIENT 14, COEFFICIENT 48 */
D3FC /* COEFFICIENT 15, COEFFICIENT 47 */
1371F /* COEFFICIENT 16, COEFFICIENT 46 */
FD36D3 /* COEFFICIENT 17, COEFFICIENT 45 */
121B5 /* COEFFICIENT 18, COEFFICIENT 44 */
30CB8 /* COEFFICIENT 19, COEFFICIENT 43 */
FB198E /* COEFFICIENT 20, COEFFICIENT 42 */
CB7E /* COEFFICIENT 21, COEFFICIENT 41 */
5DA0E /* COEFFICIENT 22, COEFFICIENT 40 */
F913B6 /* COEFFICIENT 23, COEFFICIENT 39 */
FF6A77 /* COEFFICIENT 24, COEFFICIENT 38 */
912DD /* COEFFICIENT 25, COEFFICIENT 37 */
F80113 /* COEFFICIENT 26, COEFFICIENT 36 */
FD1052 /* COEFFICIENT 27, COEFFICIENT 35 */
BB257 /* COEFFICIENT 28, COEFFICIENT 34 */
F87A47 /* COEFFICIENT 29, COEFFICIENT 33 */
FA6ADA /* COEFFICIENT 30, COEFFICIENT 32 */
CB62F /* COEFFICIENT 31 */