Question

The continuous-time signal $x_a(t) = \cos (150\pi t)$ is sampled with sampling period $T_s$ to obtain a discrete-time signal $x[n] = x_a(nT_s)$. 1. Compute and sketch the magnitude of the continuous-time Fourier transform of $x_a(t)$ and the discrete-time Fourier Transform of $x[n]$ for $T_s = 1$ ms and $T_s = 2$ ms. 2. What is the maximum sampling period $T_{s,max}$ such that no aliasing occurs in the sampling process?

          The continuous-time signal $x_a(t) = \cos (150\pi t)$ is sampled with sampling period $T_s$ to obtain a
discrete-time signal $x[n] = x_a(nT_s)$.
1. Compute and sketch the magnitude of the continuous-time Fourier transform of $x_a(t)$ and the
discrete-time Fourier Transform of $x[n]$ for $T_s = 1$ ms and $T_s = 2$ ms.
2. What is the maximum sampling period $T_{s,max}$ such that no aliasing occurs in the sampling
process?

The continuous-time signal xa(t) = cos (150π t) is sampled with sampling period Ts to obtain a
discrete-time signal x[n] = xa(nTs).
1. Compute and sketch the magnitude of the continuous-time Fourier transform of xa(t) and the
discrete-time Fourier Transform of x[n] for Ts = 1 ms and Ts = 2 ms.
2. What is the maximum sampling period Ts,max such that no aliasing occurs in the sampling
process?

Added by Lorena R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Abid Hussain

Step 1

Compute and sketch the magnitude of the continuous-time Fourier transform of xa(t) and the discrete-time Fourier Transform of x[n] for Ts = 1 ms and Ts = 2 ms. To compute the continuous-time Fourier transform of xa(t), we can use the Fourier transform Show more…

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The continuous-time signal xa(t) = cos(150Ï€t) is sampled with sampling period Ts to obtain a discrete-time signal x[n] = xa(nTs). 1. Compute and sketch the magnitude of the continuous-time Fourier transform of xa(t) and the discrete-time Fourier Transform of x[n] for Ts = 1 ms and Ts = 2 ms. 2. What is the maximum sampling period Ts.max such that no aliasing occurs in the sampling process?