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Frequency Response

Lecture #12 EGR 261 – Signals and Systems. Read : Ch. 14, Sect. 1-5; Ch. 15, Sect. 1-2; and App. D&E in Electric Circuits, 9 th Edition by Nilsson. Frequency Response

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Frequency Response

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  1. Lecture #12 EGR 261 – Signals and Systems Read: Ch. 14, Sect. 1-5; Ch. 15, Sect. 1-2; and App. D&E in Electric Circuits, 9th Edition by Nilsson Frequency Response This is an extremely important topic in EE. Up until this point we have analyzed circuits without considering the effect on the answer over a wide range of frequencies. Many circuits have frequency limitations that are very important. Example: Discuss the frequency limitations on the following items. 1) An audio amplifier 2) An op amp circuit

  2. Lecture #12 EGR 261 – Signals and Systems Example: Discuss the frequency limitations on the following items (continued) 3) A voltmeter 4) The tuner on a radio (band-pass filter)

  3. Lecture #12 EGR 261 – Signals and Systems Defining frequency response Recall that a transfer function H(s) is defined as: Where Y(s) = some specified output and X(s) = some specified input In general, s =  + jw. For frequency applications we use s = jw (so  = 0). So now we define: Since H(jw) can be thought of as a complex number that is a function of frequency, it can be placed into polar form as follows: Example: Find H(jw) for H(s) below. Also write H(jw) in polar form.

  4. Lecture #12 EGR 261 – Signals and Systems When we use the term "frequency response", we are generally referring to information that is conveyed using the following graphs:

  5. Lecture #12 EGR 261 – Signals and Systems Example: A) Find H(s) = Vo(s)/Vi(s) B) Find H(jw)

  6. Lecture #12 EGR 261 – Signals and Systems Example: (continued) C) Sketch the magnitude response, |H(jw)| versus w D) Sketch the phase response, (w) versus w E) The circuit represents what type of filter?

  7. Lecture #12 EGR 261 – Signals and Systems Example: A) Find H(s) = V(s)/I(s) B) Find H(jw)

  8. Lecture #12 EGR 261 – Signals and Systems Example: (continued) C) Sketch the magnitude response, |H(jw)| versus w D) Sketch the phase response, (w) versus w E) The circuit represents what type of filter?

  9. Lecture #12 EGR 261 – Signals and Systems Example: A) Find H(s) = Vo(s)/Vi(s) B) Find H(jw)

  10. Lecture #12 EGR 261 – Signals and Systems Example: (continued) C) Sketch the magnitude response, |H(jw)| versus w D) Sketch the phase response, (w) versus w E) The circuit represents what type of filter?

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