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NOTES-DigFilter

NOTES-DigFilter - Chapters 9 and 10 Digital Filter...

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Chapters 9 and 10 Digital Filter Structures and Design The goal of this section is to allow for simple realization of causal IIR and FIR digital filters. A structural representation using interconnected basic building blocks is the first step in the hardware of software implementation of an LTI digital filter. Block Diagram Representation Consider a filter with impulse response h [ n ]. What is the general input- output relation? Convolution sum: Basic building blocks of a digital filter structure consists of: adder multiplier unit delay pick-off node (feed) An alternative way to describe a filter, as opposed to convolution sum, is the difference equation. Example (an accumulator): 1
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y [ n ] = y [ n - 1] + x [ n ] 2
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Canonic and Non-canonic Structures A realization of a filter which is minimal in its number of delay blocks is called canonical given the constraint that no loop is delay-free. The minimal number of delay blocks needed is equal to the order of the filter (order of its difference equation, transfer function, etc).
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