One method for creating a realizable approximation to an ideal filter is to truncate this impulse response outside of n ∈ [−M, M ].
The impulse response of an IIR filter extends over infinite duration while the impulse response of FIR filter is stricted to finite no. of samples. Also IIR is not always stable but FIR is always stable.
We can divide filters two types based on the length of the impulse resopnse 1. FIR where the impulse responce is finite 2. IIR where the impulse response is infinite
1)The impulse response of an IIR filter extends over infinite duration while the impulse response of FIR filter is stricted to finite no. of samples. 2)IIR is not always stable but FIR is always stable. 3)FIR can have precisely linear phase while IIR filters do not have linear phase.
IIR is infinite impulse response. FIR is finite impulse response.
impulse response is exponential increasing with respect to time.
1)The impulse response of an IIR filter extends over infinite duration while the impulse response of FIR filter is stricted to finite no. of samples. 2)IIR is not always stable but FIR is always stable. 3)FIR can have precisely linear phase while IIR filters do not have linear phase.
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Infinite Impulse Response (IIR) filters do not have linear phase because their feedback structure introduces non-linear phase characteristics. Unlike FIR filters, which can be designed to have a symmetric impulse response leading to linear phase, IIR filters can exhibit phase distortions due to their recursive nature. This means that the phase response of an IIR filter is typically frequency-dependent, resulting in different phase shifts at different frequencies, which can lead to signal distortion.
Windowing is used in FIR filter design to control the frequency response of the filter and to manage the effects of truncating an ideal infinite impulse response. By applying a window function to the filter coefficients, designers can reduce side lobe levels in the filter's frequency response, minimizing artifacts like ripples. This technique also helps in achieving a smoother transition band and better overall filter performance while maintaining the desired characteristics of the filter. Overall, windowing enhances the filter's practical implementation by balancing trade-offs between selectivity and passband ripple.
The impulse response of an R-L circuit is an exponentially decaying signal. It represents the behavior of the circuit when subjected to a Dirac delta function input or an impulse signal. The response decays over time due to the inductor's energy storage capability.
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