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The phase function of a discrete time signal x(n)=a^n, where a=r.e^jθ is?(a) tan(nθ)(b) nθ(c) tan^-1(nθ)(d) none of the mentionedI got this question during an online exam.The question is from Discrete Time Signals in chapter Discrete Time Signals and Systems of Digital Signal Processing

Answer»

The correct answer is (b) nθ

Best explanation: Given X(n)=a^n=(r.e^jθ)^n = r^n.e^jnθ

=>x(n)=r^n.(cosnθ+jsinnθ)

PHASE FUNCTION is TAN^-1(cosnθ/sinnθ)=tan^-1(tan nθ)=nθ.



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