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FIR Filters Chapter

ECE 2610 Signal and Systems5 1 FIR FiltersWith this Chapter we turn to systems as opposed to sig-nals. The systems discussed in this Chapter are finiteimpulse response (FIR) digital Filters . The term digital filter arises because these Filters operate ondiscrete-time signals The term finite impulse response arises because the filter out-put is computed as a weighted, finite term sum, of past, pres-ent, and perhaps future values of the filter input, ,( )where both and are finite One of the simplest FIR Filters we may consider is a 3 termmoving average filter of the form( ) An FIR filter is based on a feed-forward difference equationas demonstrated by ( ) Feed-forward means that there is no feedback of past orfuture outputs to form the present output, just input relatedterms Continuous-time Filters will be discussed in the circuits andsystems coursesyn bkxnk kM1 =M2 =M1M2yn 13---xn1+ xn xn1 ++ =Chapter5 Discrete-Time SystemsECE 2610 Signals and Systems5 2 Discrete-Time Systems A discrete-time system transforms or maps an input sequ

ECE 2610 Signal and Systems 5–1 FIR Filters With this chapter we turn to systems as opposed to sig-nals. The systems discussed in this chapter are finite

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