Fourier Series – Exercise – 1

Fourier Series » Exercise – 1

1. The Fourier transform of product of two time functions [f₁(t)f₂(t)] is given by :

(a) [f₁(ω) + f₂(ω)]
(b) [f₁(ω) / f₂(ω)]
(c) [f₁(ω) * f₂(ω)]
(d) [f₁(ω) x f₂(ω)]

2. The magnitude spectrum of a Fourier transform of a real-valued time signal has _______ symmetry.

(a) no
(b) odd
(c) even
(d) conjugate

3. The trigonometric Fourier series of a periodic time function can have only ______ terms.

(a) sine
(b) cosine
(c) sine and cosine
(d) dc and cosine

4. In Fourier series expansion, An will zero for _______ function and will be zero for _______ function.

(a) odd, odd
(b) odd, even
(c) even, odd
(d) even,even

5. The inverse Fourier transform of product of two time functions [f₁(ω)f₂(ω)] is given by :

(a) [f₁(t) + f₂(t)]
(b) [f₁(t) * f₂(t)]
(c) [f₁(t) / f₂(t)]
(d) [f₁(t) x f₂(t)]

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