Exercise 1: A linear time-invariant system is described by the difference equation 5 y[n] = [kx[n - k] k=0 The input to this system is unit step signal, denoted by u[n], i.e., n<0 n≥0 x[n] = u[n] = { 1 a) Determine the filter coefficients {b} of this FIR filter. b) Find the impulse response, h[n], for this FIR filter. The impulse response is a discrete-time signal, so make a stem plot of h[n] versus n. c) Find the output y[n] when the input is u[n], and make a plot of y[n] versus n.
Exercise 1: A linear time-invariant system is described by the difference equation 5 y[n] = [kx[n - k] k=0 The input to this system is unit step signal, denoted by u[n], i.e., n<0 n≥0 x[n] = u[n] = { 1 a) Determine the filter coefficients {b} of this FIR filter. b) Find the impulse response, h[n], for this FIR filter. The impulse response is a discrete-time signal, so make a stem plot of h[n] versus n. c) Find the output y[n] when the input is u[n], and make a plot of y[n] versus n.
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![Exercise 1: A linear time-invariant system is described by the difference equation
5
y[n] = Σkx[n − k]
k=0
The input to this system is unit step signal, denoted by u[n], i.e.,
\x{[n] = u[n] = { i
1
n<0
n≥0
a) Determine the filter coefficients {b} of this FIR filter.
b) Find the impulse response, h[n], for this FIR filter. The impulse response is a
discrete-time signal, so make a stem plot of h[n] versus n.
c) Find the output y[n] when the input is u[n], and make a plot of y[n] versus n.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4e23d50-b6e1-4880-9ad9-a789799b751b%2F75cd5865-2917-4e55-8f00-8751d90daa64%2F82vu3w_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise 1: A linear time-invariant system is described by the difference equation
5
y[n] = Σkx[n − k]
k=0
The input to this system is unit step signal, denoted by u[n], i.e.,
\x{[n] = u[n] = { i
1
n<0
n≥0
a) Determine the filter coefficients {b} of this FIR filter.
b) Find the impulse response, h[n], for this FIR filter. The impulse response is a
discrete-time signal, so make a stem plot of h[n] versus n.
c) Find the output y[n] when the input is u[n], and make a plot of y[n] versus n.
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