An allpass filter has a constant gain for all frequencies, i.e. H(2)|=1. (i) Show that the...

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An allpass filter has a constant gain for all frequencies, i.e. H(2)|=1. (i) Show that the transfer function H₁(z) = α₁ +2¹ 1+α₁²-¹ represents allapss filter. (ii) Sketch the flow graph of the firsr-order filter H₁(z). An allpass filter has a constant gain for all frequencies, i.e. H(2)|=1. (i) Show that the transfer function H₁(z) = α₁ +2¹ 1+α₁²-¹ represents allapss filter. (ii) Sketch the flow graph of the firsr-order filter H₁(z).