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Unformatted text preview: r quasiconvex optimization problem.
(a) Maximum stopband attenuation. We ﬁx ωc and N , and wish to maximize the stopband attenuation, i.e., minimize α.
(b) Minimum transition band. We ﬁx N and α, and want to minimize ωc , i.e., we set the stopband
attenuation and ﬁlter length, and wish to minimize the ‘transition’ band (between π/3 and
(c) Shortest length ﬁlter. We ﬁx ωc and α, and wish to ﬁnd the smallest N that can meet the
speciﬁcations, i.e., we seek the shortest length FIR ﬁlter that can meet the speciﬁcations. 93 (d) Numerical ﬁlter design. Use CVX to ﬁnd the shortest length ﬁlter that satisﬁes the ﬁlter
ωc = 0.4π, α = 0.0316.
(The attenuation corresponds to −30dB.) For this subproblem, you may sample the constraints
in frequency, which means the following. Choose K large (say, 500; an old rule of thumb is that
K should be at least 15N ), and set ωk = kπ/K , k = 0, . . . , K . Then replace the speciﬁcations
• For k with 0 ≤ ωk ≤ π/3, 0.89 ≤ H (...
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This note was uploaded on 09/10/2013 for the course C 231 taught by Professor F.borrelli during the Fall '13 term at University of California, Berkeley.
- Fall '13
- The Aeneid