Consider the system described by the difference equation y[n] 1] – 0.1y[n – 2] + 0.1x[n] – 0.5x[n – 1] + x[n – 2] and assume th initial conditions are zero. Compute in the time interval 0 < n< 9 The response of the system to the input signal x[n] = [1,2, –1], 0 < n< 2. a)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Can you solve this problems as using matlab codes please

1. Consider the system described by the difference equation y[n] = 0.5y[n –
1] – 0.1y[n – 2]+ 0.1x[n] – 0.5x[n – 1] + x[n – 2] and assume that the
initial conditions are zero.
%3D
-
-
Compute in the time interval 0 <n<9
The response of the system to the input signal
x[n] = [1,2, –1], 0 < n < 2.
The impulse response h[n] of the system.
а)
b)
Transcribed Image Text:1. Consider the system described by the difference equation y[n] = 0.5y[n – 1] – 0.1y[n – 2]+ 0.1x[n] – 0.5x[n – 1] + x[n – 2] and assume that the initial conditions are zero. %3D - - Compute in the time interval 0 <n<9 The response of the system to the input signal x[n] = [1,2, –1], 0 < n < 2. The impulse response h[n] of the system. а) b)
3. Consider a system with zero initial conditions described by the difference
equation
0.1x[n – 2].
y[n] = -y[n – 1] – 0.5y[n – 2] + 0.2x[n] + 0.1x[n – 1] +
Compute and plot in the time interval 0 < n < 20
a)
b)
The impulse response of the system in the time interval 0 <n< 20.
The step response of the system in the time interval 0 < n < 20.
The response of the system to the input x[n] = n. 0.9", 0 < n < 5.
c)
Transcribed Image Text:3. Consider a system with zero initial conditions described by the difference equation 0.1x[n – 2]. y[n] = -y[n – 1] – 0.5y[n – 2] + 0.2x[n] + 0.1x[n – 1] + Compute and plot in the time interval 0 < n < 20 a) b) The impulse response of the system in the time interval 0 <n< 20. The step response of the system in the time interval 0 < n < 20. The response of the system to the input x[n] = n. 0.9", 0 < n < 5. c)
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