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Let he(t) as the impulse response of an LTI continuous time filter. ha[n] as the impulse response of an LTI discrete time filter. (a) If t≥0 otherwise Where a is a positive real constant. Determine the frequency response of the continuous time filter and sketch its magnitude. (b) If ha[n] = The(nT) with he(t) as in the part (a). Determine the frequency response of the discrete time filter and calculate its magnitude (please write your answer of magnitude in this form ( ) [O+O+O] ⁰.5 h(t) = { e - at 0 .) and sketch its magnitude. (sketch it roughly, with the was x axis.) (c) For a given value of a. Determine the minimum magnitude of the discrete time filter frequency response.

Let he(t) as the impulse response of an LTI continuous time filter. ha[n] as the impulse response of an LTI discrete time filter. (a) If t≥0 otherwise Where a is a positive real constant. Determine the frequency response of the continuous time filter and sketch its magnitude. (b) If ha[n] = The(nT) with he(t) as in the part (a). Determine the frequency response of the discrete time filter and calculate its magnitude (please write your answer of magnitude in this form ( ) [O+O+O] ⁰.5 h(t) = { e - at 0 .) and sketch its magnitude. (sketch it roughly, with the was x axis.) (c) For a given value of a. Determine the minimum magnitude of the discrete time filter frequency response.

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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5. Let he(t) as the impulse response of an LTI continuous time filter. hå[n] as the impulse response of an LTI discrete time filter. (a) If - al e 4 (1) = { - [:-* h 0 120 , otherwise Where a is a positive real constant. Determine the frequency response of the continuous time filter and sketch its magnitude. (b) If ha[n] = Thċ(nT) with he(t) as in the part (a). Determine the frequency response of the discrete time filter and calculate its magnitude (please write your answer of magnitude in this form ( ) [O+O) +(]⁰.5 .) and sketch its magnitude. (sketch it roughly, with the w as x axis.) (c) For a given value of a. Determine the minimum magnitude of the discrete time filter frequency response.
Transcribed Image Text:5. Let he(t) as the impulse response of an LTI continuous time filter. hå[n] as the impulse response of an LTI discrete time filter. (a) If - al e 4 (1) = { - [:-* h 0 120 , otherwise Where a is a positive real constant. Determine the frequency response of the continuous time filter and sketch its magnitude. (b) If ha[n] = Thċ(nT) with he(t) as in the part (a). Determine the frequency response of the discrete time filter and calculate its magnitude (please write your answer of magnitude in this form ( ) [O+O) +(]⁰.5 .) and sketch its magnitude. (sketch it roughly, with the w as x axis.) (c) For a given value of a. Determine the minimum magnitude of the discrete time filter frequency response.
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