EE3210M3_0910SemA - City University of Hong Kong Department...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: City University of Hong Kong Department of Electronic Engineering EE3210 Lab 3: Periodic Signal Representation by Fourier Series Prelab: Read the Background section. Complete Section 2.2(b) , which asks you to derive the exponential Fourier series coefficients for x ( t ) defined in (6). Verification: The Warm-Up section must be completed during your assigned lab time. The steps marked Instructor Verification must also be signed off during the lab time. When you have completed a step that requires verification, simply demonstrate the step to the instructor. Lab Report: It is only necessary to turn in a report on the Experiment section with graphs and explanations. 1. Background The Fourier Series representation applies to periodic signals. The Fourier synthesis equation for a periodic signal x ( t ) = x ( t + T ) is ∑ ∞ −∞ = = n t jn n e D t x ) ( ω , ( 1 ) where / 2 T π ω = is the fundamental frequency. To determine the Fourier series coefficients from a time-domain formula for the signal over one period, we must evaluate the analysis integral for every integer value of n : ∫ − = ) ( 1 T t jn n dt e t x T D ω , ( 2 ) where / 2 ω π = T is the fundamental period. The power of a real periodic signal is defined as ∫ = 2 ) ( 1 T x dt t x T P . ( 3 ) Parseval’s theorem says that it can be expressed in terms of its exponential Fourier series coefficients as ∑ ∞ −∞ = = n n x D P 2 . ( 4 ) 2. Warm-up 2.1 Getting Familiar with fplot and stem MATLAB provides a function called fplot , which can be used to plot a function. Try the following: fplot(‘x.^2’,[0,1]) Type “ help fplot ” to learn more on it....
View Full Document

Page1 / 6

EE3210M3_0910SemA - City University of Hong Kong Department...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online