The document discusses continuous-time signals and Fourier analysis. It covers continuous-time exponential Fourier series and the trigonometric form of Fourier series. The trigonometric Fourier series expresses a periodic signal as a sum of sines and cosines, with no cosine terms if the signal is purely odd and no sine terms if the signal is purely even. If a signal is symmetrical about the time axis, the a0 term is equal to zero. The document also mentions the convolution property of Fourier transforms.
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REVISION- UNIT 2 -ANALYSIS OF CONTINUOUS TIME SIGNALS
1. REVISION- UNIT 2
ANALYSIS OF CONTINUOUS TIME
SIGNALS
Dr.K.G.SHANTHI
Professor/ECE
shanthiece@rmkcet.ac.in
3. Trigonometric Form of the Fourier Series
A periodic signal x(t)x(t) can be expressed in terms of the Fourier Series, which is given by:
When x(t) is purely odd there will be no cosine term as a cosine term is an even signal and
which means that 0?na
When x(t) is purely even signal there will be no sine term as a sine term is an odd
signal and which means that 0?nb
If Signal is symmetrical about the time axis then a0=0