Digital Filter

Topics: Digital signal processing, Convolution, Bit Pages: 47 (4914 words) Published: January 16, 2013
Technical Reference
Practical Considerations in Fixed-Point FIR Filter Implementations

s
Author

Date

Time

Rev

No.

Randy Yates

27–Mar–2007

16:25

PA3

n/a

1 (13)

Reference

fir.tex

Practical Considerations in Fixed-Point FIR Filter Implementations Randy Yates
27–Mar–2007

s
signal processi ng systems

http://www.digitalsignallabs.com

A
Typeset using LTEX 2ε

Digital Signal Labs

Public Information

Technical Reference
Practical Considerations in Fixed-Point FIR Filter Implementations

s
Author

Date

Time

Rev

No.

Randy Yates

27–Mar–2007

16:25

PA3

n/a

2 (13)

Reference

fir.tex

Contents
1 Introduction
1.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.2 Conventions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

3
3
3

2 Scaling FIR Coefficients

4

3 Choosing the FIR Filter Output Word
4 Quantization Noise in FIR Filters
4.1 Truncation . . . . . . . . . . .
4.2 Rounding . . . . . . . . . . .
4.3 Dithering . . . . . . . . . . .
4.4 Noise-shaping . . . . . . . . .

.
.
.
.

.
.
.
.

12

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

.
.
.
.

12
Continue Reading

Please join StudyMode to read the full document

You May Also Find These Documents Helpful

  • Advanced Digital System Essay
  • Digital Signal Processing Essay
  • Raised Cosine DSP Filter Essay
  • Essay on Vlsi Implementation of Array Based Fir Filter Folding
  • Multirate Digital Signal Processing Essay
  • Digital Signal processing Essay
  • Digital Time Signal Processing Essay
  • Essay on Analog to Digital Comparison

Become a StudyMode Member

Sign Up - It's Free