Unformatted text preview: a k for the following continuous-time periodic signal x ( t ) : x ( t ) = ³ 1 . 5 , ≤ t < 1-1 . 5 , 1 ≤ t < 2 with fundamental frequency ω = π . Problem 4. Fourier Series Representation Let x 1 ( t ) be a continuous-time periodic signal with fundamental frequency ω 1 and Fourier series coefﬁcients a k . Now, deﬁne x 2 ( t ) as follows: x 2 ( t ) = x 1 (1-t ) + x 1 ( t-1) . (a) What is the fundamental frequency ω 2 of the signal x 2 ( t ) ? (b) Find the relationship between the Fourier coefﬁcients b k of x 2 ( t ) and the coefﬁcients a k ....
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- Fall '08
- Fourier Series, 4j, Fourier series representation, continuous-time periodic signal