Which Frequency Response Graph Correctly Represents a Band Reject Filter?

AI Thread Summary
The discussion focuses on identifying the correct frequency response graph for a band reject filter. A band reject filter allows all frequencies except those within a specified range to pass through. The analysis indicates that for frequencies less than π/3 and greater than 2π/3, the response is 1, while it is 0 between these two points. The presence of absolute values creates a mirrored response across the axis. Ultimately, the second graph is determined to accurately represent the band reject filter's frequency response.
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Homework Statement


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Homework Equations


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The Attempt at a Solution


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Which is the correct frequency response graph for this question? The first graph or the second one?
 
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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.
 
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