# Digital Filter

**Topics:**Digital signal processing, Convolution, Bit

**Pages:**47 (4914 words)

**Published:**January 16, 2013

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

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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 . . . . . . . . .

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