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Problem #1 Consider the following waveform: Forstoff 0.3m -0.3m -1.5m -8.9m x(t) 0.9m 1.5m (a) Find the period T and the fundamental frequency fo (b) Find an expression (or expressions) for the Fourier coefficients X₁. It is possible that n = 0 will be a special case. (c) Calculate (with a calculator) numerical values of X, for up to n = ±7, and make a rough sketch of an amplitude line spectrum. Do you notice any patterns? (d) Calculate the average power in x(t) using the time domain integral.

Problem #1 Consider the following waveform: Forstoff 0.3m -0.3m -1.5m -8.9m x(t) 0.9m 1.5m (a) Find the period T and the fundamental frequency fo (b) Find an expression (or expressions) for the Fourier coefficients X₁. It is possible that n = 0 will be a special case. (c) Calculate (with a calculator) numerical values of X, for up to n = ±7, and make a rough sketch of an amplitude line spectrum. Do you notice any patterns? (d) Calculate the average power in x(t) using the time domain integral.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Problem #1 Consider the following waveform: -1.5m -8.9m -0.3m x(t) 0.3m 8.9m 1.5 (a) Find the period T and the fundamental frequency.fo. (b) Find an expression (or expressions) for the Fourier coefficients X. It is possible that n = 0 will be a special case. (c) Calculate (with a calculator) numerical values of X, for up to n = ±7, and make a rough sketch of an amplitude line spectrum. Do you notice any patterns? (d) Calculate the average power in x(t) using the time domain integral.
Transcribed Image Text:Problem #1 Consider the following waveform: -1.5m -8.9m -0.3m x(t) 0.3m 8.9m 1.5 (a) Find the period T and the fundamental frequency.fo. (b) Find an expression (or expressions) for the Fourier coefficients X. It is possible that n = 0 will be a special case. (c) Calculate (with a calculator) numerical values of X, for up to n = ±7, and make a rough sketch of an amplitude line spectrum. Do you notice any patterns? (d) Calculate the average power in x(t) using the time domain integral.
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