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Unformatted text preview: 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 pickoff node (feed) An alternative way to describe a filter, as opposed to convolution sum, is the difference equation. Example (an accumulator): 1 y [ n ] = y [ n 1] + x [ n ] 2 Canonic and Noncanonic 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 delayfree. The minimal number of delay blocks needed is equal to the order of the filter (order of its difference equation, transfer function, etc).difference equation, transfer function, etc)....
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This note was uploaded on 09/10/2010 for the course ECE 107 taught by Professor Fullterton during the Spring '07 term at UCSD.
 Spring '07
 fullterton

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