A cosine pulse signal is described as follows: x(t) = cos(50nt) rect() a) Using any technique you wish (recommended: Fourier Transform tables and property), determine the Fourier Transform of x(t); multiplication-in-time explain your work in detail; b) Roughly sketch the signal x(t); e) Roughly sketch the signal's Fourier Transform, X(jo) (or IX(jw)| if the function is complex).

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2. A cosine pulse signal is described as follows:
x(t) = cos(50nt) rect
(1)
a) Using any technique you wish (recommended: Fourier Transform tables and
multiplication-in-time property), determine the Fourier Transform of x(t);
explain your work in detail;
b) Roughly sketch the signal x(t);
c) Roughly sketch the signal's Fourier Transform, X(jw) (or IX (jw)| if the
function is complex).
d) Does the signal have any particular symmetry in the time domain? If so, what
is the corresponding characteristic in the frequency domain? Does Xx(jw)
have the anticipated property? Explain in detail.
Transcribed Image Text:2. A cosine pulse signal is described as follows: x(t) = cos(50nt) rect (1) a) Using any technique you wish (recommended: Fourier Transform tables and multiplication-in-time property), determine the Fourier Transform of x(t); explain your work in detail; b) Roughly sketch the signal x(t); c) Roughly sketch the signal's Fourier Transform, X(jw) (or IX (jw)| if the function is complex). d) Does the signal have any particular symmetry in the time domain? If so, what is the corresponding characteristic in the frequency domain? Does Xx(jw) have the anticipated property? Explain in detail.
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