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The error function E(ω) should exhibit at least how many extremal frequencies in S?(a) L(b) L-1(c) L+1(d) L+2This question was posed to me in homework.My query is from Design of Optimum Equi Ripple Linear Phase FIR Filters topic in chapter Digital Filters Design of Digital Signal Processing

Answer»

The correct OPTION is (d) L+2

Best explanation: According to Alternation theorem, a necessary and sufficient condition for P(ω) to be UNIQUE, best WEIGHTED chebyshev APPROXIMATION, is that the error function E(ω) must exhibit at least L+2 extremal frequencies in S.



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