3.2-4 Since 3e-j(2πfot+0) 3ej(2 fot+0) - 3 sin (2 fot+0) = 2j 38 (f+fo) e- 35 (f- fo) eje 2ejT/2 + 3e-j2fote-je-3j2 foteje 2j 38 (f - fo) e² = 3³½ [8 (f + fo) e −50−j«/² + 8 (ƒ − ƒo) ej®+j=/2] 2e-j/2 The Fourier transform is sketched in Fig. S3.2-4. 3.2-4 Sketch the Fourier transform of signal -3 sin (2л fot+0). Hint: Use Euler's formula to express sin (2лfot + 0) in terms of exponentials.

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3.2-4 Since
3e-j(2πfot+0)
3ej(2 fot+0)
- 3 sin (2 fot+0)
=
2j
38 (f+fo) e- 35 (f- fo) eje
2ejT/2
+
3e-j2fote-je-3j2 foteje
2j
38 (f - fo) e² = 3³½ [8 (f + fo) e −50−j«/² + 8 (ƒ − ƒo) ej®+j=/2]
2e-j/2
The Fourier transform is sketched in Fig. S3.2-4.
Transcribed Image Text:3.2-4 Since 3e-j(2πfot+0) 3ej(2 fot+0) - 3 sin (2 fot+0) = 2j 38 (f+fo) e- 35 (f- fo) eje 2ejT/2 + 3e-j2fote-je-3j2 foteje 2j 38 (f - fo) e² = 3³½ [8 (f + fo) e −50−j«/² + 8 (ƒ − ƒo) ej®+j=/2] 2e-j/2 The Fourier transform is sketched in Fig. S3.2-4.
3.2-4 Sketch the Fourier transform of signal -3 sin (2л fot+0).
Hint: Use Euler's formula to express sin (2лfot + 0) in terms of exponentials.
Transcribed Image Text:3.2-4 Sketch the Fourier transform of signal -3 sin (2л fot+0). Hint: Use Euler's formula to express sin (2лfot + 0) in terms of exponentials.
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