F09_630_rec_6_sol

# F09_630_rec_6_sol - ENEE630 ADSP 1. RECITATION 6 w/...

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RECITATION 6 w/ solution October 15/16, 2009 1. Consider a 4-channel ﬁlter bank which is alias-free. If we know part of the matrix P ( z ) as P ( z ) = 3 z - 1 1 2 z - 2 z - 3 , write down the entire matrix P ( z ). What is the distortion function T ( z )? Solution: Since the matrix should be pseudo-circulant, P ( z ) = 1 3 z - 1 z - 2 2 z - 1 2 z - 2 1 3 z - 1 z - 2 z - 3 2 z - 2 1 3 z - 1 3 z - 2 z - 3 2 z - 2 1 The distortion function can be calculated using the ﬁrst row, i.e., T ( z ) = z - 3 [1 + 3 z - 5 + z - 10 + 2 z - 7 ]. 2. Problem R4.2 revisited. First ﬁnd the transfer function for Fig. R6.2(a) and (b), Then, given the desired H ( z ) = 1+2 z - 1 +3 z - 2 +4 z - 3 +5 z - 4 +6 z - 5 +7 z - 6 , how to implement it on a hardware platform which is 3 times slower than needed? (Hint: using pseudo-circulant representation) Figure R6.2: Solution: (a) P ( z ) = 1

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## This note was uploaded on 10/31/2010 for the course EE 630 taught by Professor Wu during the Spring '10 term at Aarhus Universitet, Aarhus.

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F09_630_rec_6_sol - ENEE630 ADSP 1. RECITATION 6 w/...

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