Design a linear phase low pass filter

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SUMMARY

The discussion focuses on designing a linear phase low pass filter with specific requirements: a maximum tolerance of 0.01% in the passband, a cutoff frequency at ω_c = 0.3π, and a transition band of 0.05π. Participants emphasize the importance of understanding digital signal processing (DSP) concepts and suggest that the choice of polynomial will be critical due to the stringent passband accuracy. Key resources mentioned include "Signals and Systems" by Oppenheim and "Signals and Systems" by Haykin, both essential for grasping filter design principles.

PREREQUISITES
  • Understanding of digital signal processing (DSP) concepts
  • Familiarity with filter design techniques
  • Knowledge of polynomial selection for filter specifications
  • Experience with analyzing filter performance metrics
NEXT STEPS
  • Study the design of linear phase filters in DSP
  • Learn about polynomial selection criteria for filter design
  • Research the impact of passband tolerance on filter performance
  • Explore practical applications of low pass filters in signal processing
USEFUL FOR

Students in electrical engineering, DSP practitioners, and anyone involved in filter design and analysis will benefit from this discussion.

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Homework Statement
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Design a linear phase low pass filter whose specification is:1) Maximum tolerance in the passband equal to 0.01% (linear) in the passband;2) Cutoff frequency at ω_c = 0.3π and transition band at 0.05π;3) Minimum reduction of the 0.95 rejection band.
 
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Welcome to PF.

What are you supposed to do to "design" this filter? Are you supposed to use opamps? How many stages? Or are you supposed to use DSP?

What have you learned so far about filters and designing them. You were not given this assignment out of thin air, right? What class is this for?
 
The content is related to DSP. The statement of the question is just that, I don't have more information.
 
What textbook or learning resources are you using for DSP? What have you learned so far about designing digital filters? What order and which polynomial do you think you need to use for this design? (Hint: The 0.01% passband accuracy will likely dictate the polynomial choice...)
 
I'm using these two books:

Signals and Systems, 2a. ed., Prentice-Hall, 1996, A.V., Oppenheim, A.S. Wilsky with S.H. Nawab. Signals and Systems, 2nd Edition, 2002 Simon Haykin, Barry Van Veen.
 
What class is this for? Or is it for self-study?
 
Note -- OP tried to delete his posts after he discovered that we were not going to do his schoolwork for him. The posts have been restored and the thread is now locked.
 
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