Design a linear phase low pass filter

In summary, the conversation discusses the design of a linear phase low pass filter with specific specifications, such as maximum tolerance in the passband, cutoff frequency, and transition band. The content is related to DSP and the individual has been using two books for learning resources on the topic. The conversation also mentions the importance of understanding signals and systems for designing digital filters.
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Homework Statement
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Relevant Equations
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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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  • #2
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?
 
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The content is related to DSP. The statement of the question is just that, I don't have more information.
 
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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...)
 
  • #5
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.
 
  • #6
What class is this for? Or is it for self-study?
 
  • #7
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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FAQ: Design a linear phase low pass filter

What is a linear phase low pass filter?

A linear phase low pass filter is a type of electronic filter that allows low frequency signals to pass through while attenuating high frequency signals. It is designed to have a linear phase response, meaning that all frequencies are delayed by the same amount, resulting in a distortion-free output signal.

What is the purpose of designing a linear phase low pass filter?

The purpose of designing a linear phase low pass filter is to remove unwanted high frequency components from a signal while preserving the shape and timing of the original signal. This is useful in applications such as audio processing, where preserving the phase of the signal is important for maintaining the quality of the sound.

How is a linear phase low pass filter different from other types of filters?

A linear phase low pass filter differs from other types of filters, such as a Butterworth or Chebyshev filter, in that it has a constant phase shift across all frequencies. This means that the output signal is not distorted in terms of timing, making it ideal for applications where accurate timing is crucial.

What factors should be considered when designing a linear phase low pass filter?

When designing a linear phase low pass filter, factors such as the desired cutoff frequency, filter order, and passband ripple should be taken into consideration. The cutoff frequency determines the frequency at which the filter starts to attenuate the signal, while the filter order and passband ripple affect the steepness of the filter's transition from passband to stopband.

What are some common applications of linear phase low pass filters?

Linear phase low pass filters are commonly used in audio processing, such as in equalizers and crossovers, to remove unwanted high frequency noise without affecting the timing and quality of the sound. They are also used in digital signal processing, communications systems, and biomedical signal processing.

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