Modify the causal analysis and synthesis filters of the filter bank in equations (9.131)(9.134) so that they constitute a zero-delay perfect reconstruction filter bank. Do the same for the filter banks in Equations (9.135)-(9.138). Suggest a general method to transform any perfect reconstruction causal filter bank into a zero-delay filter bank.

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1 Ho(2)=(-1+2+62+223-24) (9.131) 8