FIR Filters Chapter

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ECE 2610 Signal and Systems5 1FIR 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 ++ =Chapter5Discrete-Time SystemsECE 2610 Signals and Systems5 2Discrete-Time Systems A discrete-time system transforms or maps an input sequence(signal) into and output sequence (signal)

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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