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SunCam: Online Continuing Education Classes

084-Filters and Equalizers

By: Raymond L. Barrett, Jr., PhD, PE

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Course Objective

This continuing education course is written specifically for professional engineers with the objective of relating to and enhancing the practice of engineering.

Course Description

084-Filters and Equalizers

This course reviews the notation for roots of polynomial expressions describing Linear-Time Invariant (LTI) systems in the frequency domain, and relates the operator notation to the time-domain response using complex exponential notation. A single pole circuit is introduced and responses analyzed in the frequency domain and time domain. An ideal delay is introduced for comparison and sets a reference for step response behaviors.

Polynomial root locations are described in the complex s-plane and complex conjugate pairs plotted and described using (w0, z) notation as well as (t0, Q) notation. Phasor notation is introduced for evaluation of steady-state sinusoidal excitation of transfer functions. Second-order, complex conjugate pole pairs are introduced and the asymptotic behaviors developed and contrasted to the single-pole behaviors in magnitude, phase, and group delay attributes. Straight-line approximations are produced and the errors of approximation discussed.

Classical Butterworth, Chebyshev, and Bessel filters are introduced and the construction formulae developed. The Cauer filter is also illustrated, but mathematical development using elliptic functions is not included. Frequency domain and time domain responses are developed using a 4th design form as representative of even-order forms and a 5th order design as representative of odd-order forms. Only the 5th order Bessel filter example is synthesized from the equations. A 5th order equalizer is examined for the 5th order Chebyshev and Cauer filter and shown to provide equivalent results for both Chebyshev and Cauer filters. An additional pole pair is added to the 5th order equalizer and the justification and improvements noted. Transformations are discussed to convert low-pass prototype designs to high-pass and band-pass filters.

The course is designed for a practicing engineer seeking a capability for designing and specifying filters and equalizers for frequency domain and time domain applications.

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Price: $90.00
Quantity:
Course Code: 100206-10
Course PDH Hours: 4
Engineering Course Approvals
  • This course is accepted for engineering continuing education credit in all states.
  • Ohio rules allow only 6-hours of unsupervised online courses such as this course per license renewal period

About Course Approvals

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Need Help?

Contact Us!

For fastest service please enter your question or issue in the text box below. Enter your name and email address so we can reply to your question or concern. Be sure to give us enough info to identify the course or order that you need help with.

You may also call us at: 561-753-0105

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Important: We sent a receipt email to the address provided. If you do not receive that email, we did not receive your message.