Solved example of IIR filter Realization | Realization of IIR filter | Cascade and Parallel form
Автор: Technical Annotation
Загружено: 2023-07-12
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#techannotate, #technicalannotation #iirfilter #iir #example
IIR (Infinite Impulse Response) filters are a type of digital filters commonly used in signal processing applications. They are called "infinite" because their impulse response extends indefinitely in time. The realization of an IIR filter refers to the implementation or representation of the filter in a digital system.
IIR filters are characterized by having feedback in their filter structure, which allows them to have feedback coefficients in addition to feedforward coefficients. This feedback creates a recursive relationship between the input and output of the filter, which is why they are called "infinite" impulse response filters.
There are different methods to realize IIR filters, but the most common ones include:
Direct Form I: This is the simplest and most straightforward realization method. It represents the filter as a cascade of biquad sections, where each biquad section consists of two poles and two zeros. The input signal passes through each biquad section sequentially, and the output is obtained by summing the outputs of all sections.
Direct Form II: This method is similar to Direct Form I, but it rearranges the operations to reduce the number of multiplications required. It still uses a cascade of biquad sections, but the calculations are rearranged to minimize computational complexity.
Cascade Form: In this realization, the biquad sections are rearranged in a different order compared to the direct forms. It can provide better numerical stability and reduced round-off noise in some cases.
Parallel Form: The parallel form realization splits the filter into multiple parallel branches, each handling a portion of the input signal. The outputs of these branches are then combined to obtain the final output.
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