In Proposition 3.12, it was shown that there are no real symmetric/antisymmetric orthogonal FIR…

Need your ASSIGNMENT done? Use our paper writing service to score better and meet your deadline.


Order a Similar Paper Order a Different Paper

In Proposition 3.12, it was shown that there are no real symmetric/antisymmetric orthogonal FIR filter banks.

(a) Show that if the filters can be complex valued, then solutions exist.

(b) For length-6 filters, find the solution with a maximum numbers of zeros at ω = π.

Proposition 3.12

There are no two-channel perfect reconstruction, orthogonal filter banks, with filters being FIR, linear phase, and with real coefficients (except for the Haar filters).