Q5. A Hann (sometimes called a cosine bell) window function h(t/T) can be defined (1+ cos ) |4| < { h(t/T) = (a) Sketch this window function. (b) Is this function odd or even? What are the consequences for its Fourier transform? (c) Determine the Fourier transform of this window function h(t/T).
Q5. A Hann (sometimes called a cosine bell) window function h(t/T) can be defined (1+ cos ) |4| < { h(t/T) = (a) Sketch this window function. (b) Is this function odd or even? What are the consequences for its Fourier transform? (c) Determine the Fourier transform of this window function h(t/T).
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Transcribed Image Text:Q5. A Hann (sometimes called a cosine bell) window function h(t/T) can be defined
1+ cos )
|| < {
h(t/T) =
(a) Sketch this window function.
(b) Is this function odd or even? What are the consequences for its Fourier transform?
(c) Determine the Fourier transform of this window function h(t/T).
(d) Determine the width of the largest peak in the Fourier transform of the window function
h(t/T) using the values of the first zero crossings.
(e) Hence, compare the width of the the largest peak in the spectrum with the equivalent
measure for a flat-top, rectangular window function of the same temporal width,
rect(t/T).
(f) Describe how the perceived spectrum of a periodic signal is modified due to a given
window function.
(g) If the time-window T on a spectrum analyser consists of 256 discrete samples, what is
the maximum frequency vmax which can be measured whilst avoiding aliasing issues?
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