x[n] is the input of a system and y[n] is the output of the
system. The relationship between the input and output is the
following: y[n] = x[n]u[n+1] a) Is the system memoryless? Just yes
or no is sufficient. b) Is this system causal? Just yes or no is
sufficient. c) Is the system linear? Just yes or no is sufficient.
d) Is the system time invariant? Justify. e) Is the system BIBO
stable? Justify. f) Is the system invertible?...
A SISO DT LTI system having input x[n] and output is described
by the difference equation y[n] = 0.5x[n] + 0.5x[n-1]. Obtain the
unit sample response of the system by solving the difference
equation. ( DO NOT USE LaPlace transforms or Z transforms)
Consider a system with the input/output relationship y(t) =
x(t)cos(15πt).
(a) Is this system (i) linear, (ii) causal, (iii) stable, (iv)
memoryless, (v) time-invariant, and (vi) invertible. Justify each
answer with a clear mathematical argument. (b) Find the Fourier
Transform Y (f) of y(t) in terms of the transform X(f) of x(t).
Repeat problem (2) for the system with the input-output
relationship y(t) =R1 τ=0(1−τ)2x(t−τ)dτ.
x[n] is the input of an LTI system with the impulse response of
h[n]. x[n] = [1, 2, 3] and h[n] = [4, 6]. Use 4-point DFT and IDFT
and zero padding of x[n] and h[n] to find the output y[n].
The input-output (consumption) matrix for a closed economy is
given below. Solve the associated input- output model. Use r if you
need a variable in your answer. [0.07 0.05 0.27] [0.17 0.48 0.19]
[0.76 0.47 0.54]
Given two functions, M(x, y) and N(x, y), suppose that (∂N/∂x −
∂M/∂y)/(M − N)
is a function of x + y. That is, let f(t) be a function such
that
f(x + y) = (∂N/∂x − ∂M/∂y)/(M − N)
Assume that you can solve the differential equation
M dx + N dy = 0
by multiplying by an integrating factor μ that makes it exact
and that it can also be
written as a function of x + y,...
Algorithm1
prefixAverages1(X,
n)
Input array X of
n integers
Output array A of
prefix averages of X
A ← new array of
n integers
for i ← 0
to n − 1
do
s ← X[0]
for j ← 1
to i
do
s ← s +
X[j]
A[i] ←
s / (i + 1)
return A
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Algorithm2
prefixAverages2(X,
n)
Input array X of
n integers
Output array A of
prefix averages of X
A ← new array of...
Section 1: Given a system y[n]-y[n-1]+y[n-2]=x[n] (refer to M3.2
on textbook)
In class, we analytically derived the solutions of second order
difference equations, including zero-input response, unit impulse
response, zero-state response and total response. The Matlab has
imbedded commands to do the same job. Get familiar with the
following commends, and use them to get (0≤n≤40)
a) unit impulse response and plot it
b) zero-input response and plot it, with initial conditions of
y[-1]=1 and y[-2]=2 c) zero-state response and...
Design a detector for the input sequence X = 01011.
The output Y must be 1 when the sequence is detected, 0 in any
other case. Draw the status diagram and generate a status table.
Using the status table, design a logic circuit that generates the
output function using T-type flip-flops.
Please help me! Thanks!!!!
Design a Moore sequential circuit that has an input X and an
output Y. The circuit detects the following sequence: 100 Your
answer should include state diagram and state table. Hint. X= 0 1 0
1 0 0 0 1 1 1 0 0 1 0 1 Y= 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0