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Define Gain and Phase Responses?
Expressing H(ej?) in polar form as:
H (ej?) = G (?) e jφ(?)
G(?) is the "gain" of the discrete-time system and φ(?) is the "phase". Both these quantities vary with ?.
It may be shown that if the input to the system is a sinusoidal sequence {A cos (?n)}, the output will be: {G(?)A cos(?n + φ(?))}
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