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Elec 9305: Digital Signal Processing

Autor:   •  June 13, 2017  •  Lab Report  •  419 Words (2 Pages)  •  561 Views

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ELEC 9305: Digital Signal Processing

Lab#2 Report

Design and Testing of FIR Low-Pass Filter

Tailin Wang 460071145

B.Design

Procedure

  1. N

T.W. = 3.0 kHz-2.5 kHz = 0.5 kHz

Rectangular: 109.2 (0.91*fs/T.W.)

Hamming: 412.8 (3.44*fs/T.W.)

Cutoff frequency: 2.75 kHz = (fs1+fp1)/2

4.

 [pic 2]

Figure 1

5. 100Hz

[pic 3][pic 4]

 Hamming                  Rectangular

1000Hz

[pic 5][pic 6]

Hamming             Rectangular

2000Hz

[pic 7][pic 8]

Hamming          Rectangular

2500Hz

[pic 9][pic 10]

Hamming                Rectangular

2700Hz

[pic 11][pic 12]

Hamming                        Rectangular

2800Hz

[pic 13][pic 14]

Hamming                 Rectangular

3000Hz

[pic 15][pic 16]

Hamming          Rectangular

C. Real time testing

Demonstration Exercise 1: when frequency is from 1 kHz to 15 kHz, tones are getting shaper and shaper; when frequency is over 15 kHz, we cannot hear the tones.

FIR Filter Measurement:

Measurement for FIR low pass filter designed with Rectangular window

Input Frequency

Input Magnitude

Output Magnitude

Filter Gain in dB

Relative Gain in dB

100Hz

640mV

672mV

0.423786

0.28678

1000Hz

640mV

680mV

0.526579

0.34582

2000Hz

640mV

688mV

0.628169

0.38784

2500Hz

640mV

592mV

-0.677165

-0.9303

2700Hz

640mV

400mV

-4.082399

-4.7931

2800Hz

640mV

280mV

-7.180439

-8.1679

3000Hz

640mV

96mV

-16.47817

-21.041

...

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