Low-Pass

6-Pole

Appendix A

Butterworth

8

1784 Chessie Lane, Ottawa, IL 61350 • Tel: 800/252-7074, 815/434-7800 • FAX: 815/434-8176

e-mail: sales@freqdev.com Web Address: http://www.freqdev.com

Normalized Frequency(f/fc)

Normalized Time (1/f sec)

Normalized Time (1/f sec)

Frequency Response

Delay

(Normalized)

Step Response

0.1

1.0

10.0

2

3 4 5 6 78

2

3 4 5 6 7

-100

-80

-60

-40

-20

0

0.1

1.0

2

3

4

5 6 7 8 9

0.0

1.0

2.0

1.5

0.15

0

1

2

3

4

5

-0.0

0.2

0.4

0.6

0.8

1.0

1.2

(sec)

Theoretical Transfer Characteristics

1

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.85

0.90

0.95

1.00

1.10

1.20

1.30

1.40

1.50

1.60

1.70

1.80

1.90

2.00

2.25

2.50

2.75

3.00

3.25

3.50

4.00

5.00

6.00

7.00

8.00

9.00

10.0

1.Normalized Group Delay:

The above delay data is normalized to a corner frequency

of 1.0Hz.The actual delay is the normalized delay divided

by the actual corner frequency (fc).

Actual Delay =

Normalized Delay

Actual Corner Frequency (fc) in Hz

f/fc

(Hz)

Amp

(dB)

Phase

(deg)

Delay

-93.4

-101

-108

-115

-120

-57.3

-61.4

-65.3

-72.2

-83.9

-33.5

-36.1

-42.3

-47.8

-52.7

-503

-508

-512

-515

-518

-465

-471

-476

-484

-496

-419

-425

-439

-450

-458

.017

.012

.0097

.0076

.0062

.071

.060

.052

.039

.025

.193

.171

.132

.105

.086

-17.6

-21.2

-24.5

-27.7

-30.6

-1.88

-3.01

-6.17

-9.96

-13.9

-0.009

-0.060

-0.289

-0.578

-1.080

0.00

0.00

0.00

0.00

0.00

-0.001

-368

-382

-393

-403

-412

-252

-270

-304

-331

-352

-140

-167

-198

-215

-233

0.00

-22.2

-44.5

-67.2

-90.4

-115

.417

.345

.291

.251

.219

1.03

1.00

.845

.660

.518

.731

.803

.911

.970

1.02

.615

.617

.624

.637

.656

.685