Engineering Circuit Analysis: International Student Version, Tenth Edition

Chapter 15. FOURIER ANALYSIS TECHNIQUES

THE LEARNING GOALS FOR THIS CHAPTER ARE:

• Be able to determine the trigonometric and exponential Fourier series for a periodic signal and understand the effects of waveform symmetry on the coefficients of a trigonometric Fourier series

• Be able to calculate the steady-state response of an electric circuit when excited by a periodic voltage or current signal

• Know how to calculate average power in an electric circuit excited by a periodic voltage or current signal

• Be able to determine Fourier transform pairs for signals common to electric circuit analysis and use the Fourier transform to calculate the response of an electric circuit

• Be able to apply Parseval's theorem

Artificial Pacemakers for Hearts To find happiness, the Tin Man in the Wizard of Oz thought he only needed a heart – but a healthy one. Most hearts have a natural pacemaker and are healthy. For irregular heartbeats or heart blocks, artificial pacemakers may be needed to maintain an adequate heart rate. These pacemakers use electrodes contacting the heart muscle to deliver electrical impulses that regulate the beating of the heart. Optimum pacing modes for individual patients can be programmed into a microprocessor externally.

Stimulus signals are either periodic impulses over a brief range (pacemaker) or sudden jolts to shock the heart into a steady pattern (defibrillator). A pacemaker and ...