Which Frequency Response Graph Correctly Represents a Band Reject Filter?

Click For Summary
SUMMARY

The correct frequency response graph for a band reject filter is the second graph presented in the discussion. A band reject filter allows all frequencies to pass except those within a specified range, which in this case is between π/3 and 2π/3. The response is characterized by a value of 1 for frequencies outside this range and 0 within it, resulting in a mirrored response across the axis due to the absolute value consideration.

PREREQUISITES
  • Understanding of band reject filter concepts
  • Familiarity with frequency response graphs
  • Knowledge of trigonometric functions and their properties
  • Basic principles of signal processing
NEXT STEPS
  • Study the characteristics of band reject filters in signal processing
  • Learn how to interpret frequency response graphs
  • Explore the mathematical representation of filters using trigonometric functions
  • Investigate the effects of different filter designs on signal behavior
USEFUL FOR

Electrical engineers, signal processing students, and anyone involved in designing or analyzing filters in communication systems will benefit from this discussion.

smart_worker
Messages
131
Reaction score
1

Homework Statement


br.PNG


Homework Equations


br2.jpg


The Attempt at a Solution


br4.jpg

[/B]
Which is the correct frequency response graph for this question? The first graph or the second one?
 
Physics news on Phys.org
Band reject implies that it passes everything, except frequencies in the band. Looking at just the positive side: If it is less than pi/3 then it is 1. If it is greater than 2pi/3 then it is also 1. Elsewhere is zero. Well elsewhere is inbetween pi/3 and 2pi/3 (the band to be rejected). Since there is absolute value, you will have a mirror image of the band response across the axis.

Which of the graphs fit this description?
 
The second graph fits the description.
 
  • Like
Likes   Reactions: scottdave

Similar threads

  • · Replies 27 ·
Replies
27
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 43 ·
2
Replies
43
Views
6K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
16
Views
3K
Replies
13
Views
5K
  • · Replies 14 ·
Replies
14
Views
3K