Question

6. The imaginary part of $X(e^{j\omega})$ for a causal, real sequence $x[n]$ is $X_I(e^{j\omega}) = 3\sin(2\omega) + 4\sin(5\omega)$. Additionally, it is known for the real part of $X(e^{j\omega})$ that $X_R(e^{j\omega})|_{\omega=0} = 9$. Find $x[n]$.

          6. The imaginary part of $X(e^{j\omega})$ for a causal, real sequence $x[n]$ is
$X_I(e^{j\omega}) = 3\sin(2\omega) + 4\sin(5\omega)$.
Additionally, it is known for the real part of $X(e^{j\omega})$ that $X_R(e^{j\omega})|_{\omega=0} = 9$. Find $x[n]$.

6. The imaginary part of X(e^jω) for a causal, real sequence x[n] is
XI(e^jω) = 3sin(2ω) + 4sin(5ω).
Additionally, it is known for the real part of X(e^jω) that XR(e^jω)|ω=0 = 9. Find x[n].

Added by Alba N.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

04/21/2023

Step 1

The DTFT of a sequence x[n] is given by X(e^jω), where ω is the normalized frequency. Show more…

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Urgent 6. The imaginary part of X(ej) for a causal, real sequence x[n] is X1(e3) =3 sin(2w)+ 4 sin(5w). Additionally, it is known for the real part of X(ej") that XR(ej")|w=o = 9. Find x[n]