Filters What is a filter Spectral response Impulse response

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Presentation transcript:

Filters What is a filter Spectral response Impulse response Filter types How to design/apply/use them

What is a filter? Extract desired components Why? To extract information in a systematic way Easily described in spectral terms Lowpass Highpass Bandpass Multiband Notch Reduce the intensity in region(s) of spectrum

dftlopass2demo(fs, timelen, b0, b1)

dftlopass2demo(fs, timelen, b0, b1)

dfthipass2demo(fs, timelen, b0, b1)

Impulse response Filter can also be represented in time domain Impulse response is output when impulse is applied at input DFT of impulse response is spectral response! Very handy!

Filter types Finite Impulse Response (FIR) an = 0 Non-recursive Inefficient Infinite Impulse Response (IIR) an  0 Recursive Efficient

How to design/apply/use filters Usually design in spectral domain Apply in either time or spectral domains Depends on length of impulse response Apply by mutiplying spectra Add in dBs! Convolve in time domain… Often we need to estimate filter…