Monday, 24 April 2017

FIR Filter design using Frequency Sampling Method (FSM)

A filter is basically a system which allows a particular band of frequencies to pass and selectively changes the wave shape, phase- frequency characteristics in a desired fashion.In this method the given frequency response is sampled as a set of equally sampled frequencies to obtain N samples.The continuous frequency response Hd(w) at N points essentially gives us the N-Point DFT of Hd(2pnk/N).Thus by using IDFT formula, the filter co-efficients can be calculated. Increasing the number of samples can possibly reduce the error. Thus FIR design was implemented using FSM method.

13 comments:

  1. Simplest method for filter design.

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  2. FSM realization is more efficient than FIR filter realization.

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  3. FSM is used in the cases where desired response in known.

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  4. FSM is also the most simplest and direct technique.

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  5. Discontinuity is observed in phase plot between lobes and also when the phase spectrum goes out of the range of -pi to pi.

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  6. Replies
    1. This method requires less computations than windowing method.

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    2. This method requires less computations than windowing method.

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  7. As frequency samples increases,error reduces.

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    Replies
    1. To put that in other words your 'N' that is the number of samples of your frequency response should be higher for an improved resolution and reduced error.

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  8. Good for narrow band design

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