Home / Expert Answers / Electrical Engineering / exercise-6-consider-the-signal-x-t-cos-pi-t-2cos-4-pi-t-the-signal-is-sampled-to-obtain-the-sign-pa668

(Solved): Exercise 6 Consider the signal x(t)=cos(\pi t)+2cos(4\pi t) The signal is sampled to obtain the sign ...



Exercise 6 Consider the signal

x(t)=cos(\pi t)+2cos(4\pi t)

The signal is sampled to obtain the signal

x[n]=x(nT)

with Fourier transform

x(e^(j\omega ))

. a) (5 pt) What is the minimum sampling frequency

\omega _(s)=(2\pi )/(T)

that can be used to avoid aliasing? In the following questions assume that the sampling frequency is

6\pi

b) (10 pt) Sketch the Fourier transform

x(e^(j\omega ))

of

x[n]

(or

x_(T)(\omega )

). c) (10 pt) The signal, sampled with sampling frequency is

\omega _(s)=6\pi

, is reconstructed with an ideal reconstruction filter with

H(j\omega )={(3,|\omega |<3\pi ),(0 otherwise ):}

Find an expression for the output

y(t)

of the filter.

student submitted image, transcription available below


We have an Answer from Expert

View Expert Answer

Expert Answer


We have an Answer from Expert

Buy This Answer $5

Place Order

We Provide Services Across The Globe