HW3_2009Sp

HW3_2009Sp - Also, when MATLAB deals with complex numbers...

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Homework #3 Due 2/11/07 2:00pm 1. Find the exponential FS for the signal shown in Fig. P6.1-2 (20 points) 2. Lathi Problem 6.3-4, 6.4-3a (10 points each). 3. In MATLAB, plot the first 5, 10, 100 harmonics of the exponential FS of 6.4-3a. Submit your code. Note that if you want the first 5 harmonics, you will sum from -5 to 5 to include negative frequencies and n = 0. MATLAB by default likes to use the variable “i” as sqrt(-1). Use the function “exp(x)” for “e to the x” power. Make sure you do not confuse yourself by using the variable “i” elsewhere in your code.
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Unformatted text preview: Also, when MATLAB deals with complex numbers (multiply, divide, add, subtract), there is always a residual error. The result of your exponential FS code will give you a complex number. This complex number is basically real since the imaginary component should be at least 10 orders of magnitude less than the real. Explain your results as you increase the number of harmonics. Does Gibbs phenomenon hold true for exponential Fourier Series? (30oints). 4. Lathi 2.4-4, 2.4-18a,b (30 points)...
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This note was uploaded on 06/08/2009 for the course BME 513 taught by Professor Yen during the Spring '07 term at USC.

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HW3_2009Sp - Also, when MATLAB deals with complex numbers...

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