A system in Figure Q.1(b) is consists of two (2) main blocks; BLOCK A and BLOCK B. The input signal of BLOCK A is m(t) 50 sinc(50t) and the cutoff frequency of low pass filter (LPF) is 100 Hz. (i) Define the function of BLOCK A and BLOCK B. (ii) Using duality property of Fourier Transform, find and sketch M(w). (iii) Sketch the frequency spectrum at point a, b and c. BLOCK A BLOCK B a m(t) X LPF |--- 2cos(1000t) 2cos(1000t) Figure Q.1(b)

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A system in Figure Q.1(b) is consists of two (2) main blocks; BLOCK A and
BLOCK B. The input signal of BLOCK A is m(t)
50
sinc(50t) and the
cutoff frequency of low pass filter (LPF) is 100 Hz.
(i)
Define the function of BLOCK A and BLOCK B.
(ii)
Using duality property of Fourier Transform, find and sketch M(w).
(iii) Sketch the frequency spectrum at point a, b and c.
BLOCK A
BLOCK B
a
m(t) X
LPF
|---
2cos(1000t)
2cos(1000t)
Figure Q.1(b)
Transcribed Image Text:A system in Figure Q.1(b) is consists of two (2) main blocks; BLOCK A and BLOCK B. The input signal of BLOCK A is m(t) 50 sinc(50t) and the cutoff frequency of low pass filter (LPF) is 100 Hz. (i) Define the function of BLOCK A and BLOCK B. (ii) Using duality property of Fourier Transform, find and sketch M(w). (iii) Sketch the frequency spectrum at point a, b and c. BLOCK A BLOCK B a m(t) X LPF |--- 2cos(1000t) 2cos(1000t) Figure Q.1(b)
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