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Actual for You - FIR and IIR DSP filters
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All filters have their own characteristics. Characteristic are a response to a pulse applied to filters input. If we know filters response, we can easily calculate filters amplitude and phase behaviour. So filter can be imagined as a transfer function, which gives a certain response to input signal. In digital systems signal is sampled and each sample is considered as a pulse. Calculation filter response becomes quite easy task.
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All filters have their own characteristics. Characteristic are a response to a pulse applied to filters input. If we know filters response, we can easily calculate filters amplitude and phase behaviour. So filter can be imagined as a transfer function, which gives a certain response to input signal. In digital systems signal is sampled and each sample is considered as a pulse. Calculation filter response becomes quite easy task.
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Lets see what filter responses can be. A pulse in filters input may cause finite number of output pulses, but can cause thousands (theoretically – infinite number of response pulses). Here we fase two therms – FIR and IIR.
IIR as we mentioned is finite impulse response filter, this means that such filter gives finite number of pulses on output of filter ant filter function generally can be described as:
y[n]=x[n]*c0+x[n-1]*c1...x[n-N]*cN
where y[n] is output signal at instant n, x[n] input signal at instant n, ck – the impuls
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