Consider the continuous-time filter he (t) below: he(t) = [e-at, t≥0 0, t < 0 where the we have the value a = 0.2 as a decay constant. We wish to duplicate this continuous-time filter using a digital signal processing system. Assuming that we have chosen an appropriate sample period T=0.37, determine the discrete filter h[n] that we would create using the standard method for impulse invariance conversion, i.e., not Jackson's approach. For your answer provide the value of h[n] for n =4 as a value with two decimal digits of precision, i.e., 0.12.
Consider the continuous-time filter he (t) below: he(t) = [e-at, t≥0 0, t < 0 where the we have the value a = 0.2 as a decay constant. We wish to duplicate this continuous-time filter using a digital signal processing system. Assuming that we have chosen an appropriate sample period T=0.37, determine the discrete filter h[n] that we would create using the standard method for impulse invariance conversion, i.e., not Jackson's approach. For your answer provide the value of h[n] for n =4 as a value with two decimal digits of precision, i.e., 0.12.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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![Consider the continuous-time filter \( h_c(t) \) below:
\[
h_c(t) =
\begin{cases}
e^{-at}, & t \geq 0 \\
0, & t < 0
\end{cases}
\]
where we have the value \( a = 0.2 \) as a decay constant.
We wish to duplicate this continuous-time filter using a digital signal processing system. Assuming that we have chosen an appropriate sample period \( T = 0.37 \), determine the discrete filter \( h[n] \) that we would create using the standard method for impulse invariance conversion, i.e., not Jackson's approach.
**For your answer, provide the value of \( h[n] \) for \( n = 4 \) as a value with two decimal digits of precision, i.e., 0.12.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9cefd9b-1e12-4ab9-bddf-7966a130d3b6%2F887f39cb-34a5-476f-9b96-1d04f2bc93c4%2Fqkft2s_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the continuous-time filter \( h_c(t) \) below:
\[
h_c(t) =
\begin{cases}
e^{-at}, & t \geq 0 \\
0, & t < 0
\end{cases}
\]
where we have the value \( a = 0.2 \) as a decay constant.
We wish to duplicate this continuous-time filter using a digital signal processing system. Assuming that we have chosen an appropriate sample period \( T = 0.37 \), determine the discrete filter \( h[n] \) that we would create using the standard method for impulse invariance conversion, i.e., not Jackson's approach.
**For your answer, provide the value of \( h[n] \) for \( n = 4 \) as a value with two decimal digits of precision, i.e., 0.12.**
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