# Let X(e j ) denote the Fourier transform of the sequence x[n] = (1/2) n u[n]. Let y[n] denote a

## Question:

Let X(e^{jω}) denote the Fourier transform of the sequence x[n] = (1/2)^{n} u[n]. Let y[n] denote a finite-duration sequence of length 10; i.e., y[n] = 0, n < 0, and y[n] = n ≥ 10. The 10-point DFT of y[n], denoted by Y[k], corresponds to 10 equally spaced samples of X(e^{jω}); i.e., Y[k] = X(e^{j2πk/10}). Determine y[n]

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**Related Book For**

## Discrete Time Signal Processing

**ISBN:** 978-0137549207

2nd Edition

**Authors:** Alan V. Oppenheim, Rolan W. Schafer

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