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Anonymous

Asked: September 21, 2022In: analog and digital communication systems

Problem 1 Consider a message signal �(�) = �−2��(�) volts(1�), and carrier �(�) = cos(2�100�) �(1Ω). a. Find a closed form expression for the spectrum of �(�) = �(�)�(�) (DSB-SC), denoted �(�). b. Sketch the magnitude of �(�).

Anonymous

Asked: September 21, 2022In: analog and digital communication systems

Problem 7 Sketch the spectrum (magnitude only) of the following function

Anonymous

Asked: September 21, 2022In: analog and digital communication systems

Problem 6 Find the Fourier Transform of the pulses shown below. More specifically, find the Fourier transform of the half-cosine pulse shown in (a), the half-sine pulse shown in (b), the negative halfsine pulse shown in (c) and the single sine pulse shown in (d).

Anonymous

Asked: September 21, 2022In: analog and digital communication systems

Problem 5 Find the inverse Fourier Transform of the signal shown below (i.e., find an expression for g(t)). Express your answer in compact and simplest form by making use of the provided trigonometric identities (very last page of the supplied equation sheet).

Anonymous

Asked: September 21, 2022In: analog and digital communication systems

Problem 4 Find the energy spectral density of,,,,,,,. What is the total energy of the signal? What is the energy of the signal in the frequency range 5 to 10 hertz?

Anonymous

Asked: September 21, 2022In: analog and digital communication systems

Problem 3 Suppose, we let �(�) of problem 1 be periodic (i.e., �(�) is now ��0(�) according to the notation that we are using). To be precise let � = 4 ��, let the pulse width � = 0.1 seconds and let the fundamental period �0 = 0.2 seconds. Find its continuous Fourier transform. Hint: ��(�) is periodic and hence you can first find the Fourier series coefficients (��) and relate those coefficients to the continuous Fourier transform of a periodic signal (we have done it in the class…). Accurately sketch the spectrum of the signal from −30 to 30 ��, e.g., using MATLAB. (In MATLAB, you can use the stem() function along with the optional argument ‘^’ to plot a sequence of arrows representative of Dirac Deltas.)

Anonymous

Asked: September 21, 2022In: analog and digital communication systems

Problem 2 Show that the continuous Fourier transform of the function,,,,, 1. Clearly show all your steps. Note: you may utilize the Fourier transform pairs and properties that are available in the lecture notes, or from other sources.

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electricalstudent Latest Questions

Problem 1 Consider a message signal �(�) = �−2��(�) volts(1�), and carrier �(�) = cos(2�100�) �(1Ω). a. Find a closed form expression for the spectrum of �(�) = �(�)�(�) (DSB-SC), denoted �(�). b. Sketch the magnitude of �(�).

Problem 7 Sketch the spectrum (magnitude only) of the following function

Problem 6 Find the Fourier Transform of the pulses shown below. More specifically, find the Fourier transform of the half-cosine pulse shown in (a), the half-sine pulse shown in (b), the negative halfsine pulse shown in (c) and the single sine pulse shown in (d).

Problem 5 Find the inverse Fourier Transform of the signal shown below (i.e., find an expression for g(t)). Express your answer in compact and simplest form by making use of the provided trigonometric identities (very last page of the supplied equation sheet).

Problem 4 Find the energy spectral density of,,,,,,,. What is the total energy of the signal? What is the energy of the signal in the frequency range 5 to 10 hertz?

Problem 2 Show that the continuous Fourier transform of the function,,,,, 1. Clearly show all your steps. Note: you may utilize the Fourier transform pairs and properties that are available in the lecture notes, or from other sources.